首页 > 最新文献

Chinese Journal of Physics最新文献

英文 中文
Quantum hydrodynamic modeling of nonlinear wave interactions 非线性波相互作用的量子流体力学建模
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-29 DOI: 10.1016/j.cjph.2025.12.034
Kolade M. Owolabi
Quantum hydrodynamic (QHD) models provide a self-consistent framework for describing the evolution of particle density and velocity fields in quantum systems, incorporating both classical and purely quantum dispersive effects. In this work, we analyze nonlinear wave interactions by deriving QHD equations from the nonlinear Schrödinger formalism and investigating their dynamical properties. We establish rigorous analytical results, including conservation laws, existence of weak solutions, and nonlinear stability of energy-minimizing states. Complementary numerical simulations using Fourier spectral methods combined with exponential time-stepping reveal rich nonlinear phenomena such as stationary solitons, breather formation, and quasi-elastic collisions, confirming theoretical predictions. The results demonstrate the applicability of QHD models to a variety of physical settings, including quantum plasmas, nonlinear optical media, and Bose–Einstein condensates, providing insights into both fundamental dynamics and potential technological applications.
量子流体动力学(QHD)模型为描述量子系统中粒子密度和速度场的演化提供了一个自洽的框架,它结合了经典和纯量子色散效应。在这项工作中,我们通过从非线性Schrödinger形式导出QHD方程并研究它们的动力学性质来分析非线性波相互作用。我们建立了严格的分析结果,包括守恒定律,弱解的存在性,以及能量最小化状态的非线性稳定性。利用傅立叶谱方法结合指数时间步进的互补数值模拟揭示了丰富的非线性现象,如静止孤子、呼吸形成和准弹性碰撞,证实了理论预测。结果表明,QHD模型适用于各种物理环境,包括量子等离子体、非线性光学介质和玻色-爱因斯坦凝聚体,为基本动力学和潜在的技术应用提供了见解。
{"title":"Quantum hydrodynamic modeling of nonlinear wave interactions","authors":"Kolade M. Owolabi","doi":"10.1016/j.cjph.2025.12.034","DOIUrl":"10.1016/j.cjph.2025.12.034","url":null,"abstract":"<div><div>Quantum hydrodynamic (QHD) models provide a self-consistent framework for describing the evolution of particle density and velocity fields in quantum systems, incorporating both classical and purely quantum dispersive effects. In this work, we analyze nonlinear wave interactions by deriving QHD equations from the nonlinear Schrödinger formalism and investigating their dynamical properties. We establish rigorous analytical results, including conservation laws, existence of weak solutions, and nonlinear stability of energy-minimizing states. Complementary numerical simulations using Fourier spectral methods combined with exponential time-stepping reveal rich nonlinear phenomena such as stationary solitons, breather formation, and quasi-elastic collisions, confirming theoretical predictions. The results demonstrate the applicability of QHD models to a variety of physical settings, including quantum plasmas, nonlinear optical media, and Bose–Einstein condensates, providing insights into both fundamental dynamics and potential technological applications.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"100 ","pages":"Pages 67-94"},"PeriodicalIF":4.6,"publicationDate":"2025-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146035645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The impact of coherence in non-equilibrium reservoirs on the functionality and performance of quantum thermal machines 非平衡储层中相干性对量子热机功能和性能的影响
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-27 DOI: 10.1016/j.cjph.2025.12.031
Zhi-Chu Chen, Qingyu Cai, Ji-Yong Fu, Zhong-Xiao Man
We investigate the functionality and performance of quantum thermal machines (QTMs) implemented using multipartite open quantum systems coupled to independent non-equilibrium reservoirs. We focus on two distinct types of work in QTMs, namely, the work arising from the coherence of reservoirs and that supplied by an external source. With two- and three-body interactions within the working substance, we demonstrate that QTMs in the presence of reservoir coherence can attain unique operational modes unattainable in purely thermal reservoirs. Furthermore, the QTMs can perform both single tasks driven by multiple inputs and hybrid operations driven by a single input. We define a non-equilibrium free-energy-based efficiency to assess the performance of this class of QTMs. Within specific parameter ranges, reservoir coherence can be harnessed to enhance the efficiency of QTMs. Our findings offer valuable insights for designing QTMs with customized functions and for optimizing their performance by leveraging coherence in non-equilibrium reservoirs.
我们研究了量子热机(QTMs)的功能和性能,量子热机是由耦合到独立非平衡热源的多部开放量子系统实现的。我们专注于QTMs中的两种不同类型的工作,即由储层一致性引起的工作和由外部来源提供的工作。通过工作物质内的二体和三体相互作用,我们证明了在储层相干性存在的情况下,qtm可以获得在纯热储层中无法实现的独特操作模式。此外,qtm既可以执行由多个输入驱动的单一任务,也可以执行由单个输入驱动的混合操作。我们定义了一个非平衡的基于自由能量的效率来评估这类qtm的性能。在特定的参数范围内,可以利用储层相干性来提高qtm的效率。我们的研究结果为设计具有定制功能的qtm提供了有价值的见解,并通过利用非平衡油藏的相干性来优化其性能。
{"title":"The impact of coherence in non-equilibrium reservoirs on the functionality and performance of quantum thermal machines","authors":"Zhi-Chu Chen,&nbsp;Qingyu Cai,&nbsp;Ji-Yong Fu,&nbsp;Zhong-Xiao Man","doi":"10.1016/j.cjph.2025.12.031","DOIUrl":"10.1016/j.cjph.2025.12.031","url":null,"abstract":"<div><div>We investigate the functionality and performance of quantum thermal machines (QTMs) implemented using multipartite open quantum systems coupled to independent non-equilibrium reservoirs. We focus on two distinct types of work in QTMs, namely, the work arising from the coherence of reservoirs and that supplied by an external source. With two- and three-body interactions within the working substance, we demonstrate that QTMs in the presence of reservoir coherence can attain unique operational modes unattainable in purely thermal reservoirs. Furthermore, the QTMs can perform both single tasks driven by multiple inputs and hybrid operations driven by a single input. We define a non-equilibrium free-energy-based efficiency to assess the performance of this class of QTMs. Within specific parameter ranges, reservoir coherence can be harnessed to enhance the efficiency of QTMs. Our findings offer valuable insights for designing QTMs with customized functions and for optimizing their performance by leveraging coherence in non-equilibrium reservoirs.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 549-562"},"PeriodicalIF":4.6,"publicationDate":"2025-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145921008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multifield modulation of electronic structure in MoSi2N4/GeI2 van der Waals heterostructures MoSi2N4/GeI2范德华异质结构中电子结构的多场调制
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-26 DOI: 10.1016/j.cjph.2025.12.028
Yuanlei Zhao, Xuewen Wang, Yingying Zhao, Ting Zhu, Zhaoming Fu, Syed Awais Ahmad, Weibin Zhang, Quanhong Ou
Through first-principles calculations, we systematically explored the evolution of the electronic structure of MoSi2N4/GeI2 van der Waals heterostructure (vdWH) under biaxial strain, interlayer separation, and externally applied perpendicular electric fields. The pristine vdWH emerges as a direct-gap semiconductor with a bandgap of 1.69 eV. A compressive strain of 4% increases the bandgap to a maximum of 2.23 eV, whereas a tensile strain induces a precipitous reduction to 0.63 eV at 8%. Variations in interlayer spacing exert an equally pronounced influence: the bandgap broadens to 1.83 eV at 3.06 Å, but collapses abruptly to 0.16 eV upon further contraction to 1.56 Å. Perpendicular E-fields provide an additional lever of control; a modest field of -0.1 V Å-1 elevates the bandgap to 1.85 eV, while stronger fields of -0.5 V Å-1 quench the gap entirely, driving the system into a metallic state. The underlying mechanisms governing these bandgap modulations are elucidated in detail. Collectively, these results highlight the remarkable tunability of MoSi2N4/GeI2 vdWH, thereby providing a theoretical framework for the rational conception of next-generation devices in the optoelectronic and flexible electronic domains.
通过第一性原理计算,系统地探讨了MoSi2N4/GeI2范德华异质结构(vdWH)在双轴应变、层间分离和外加垂直电场作用下的电子结构演变。原始vdWH以带隙1.69 eV的直接隙半导体形式出现。当压缩应变为4%时,带隙增大到2.23 eV的最大值,而当拉伸应变为8%时,带隙急剧减小到0.63 eV。层间间距的变化也会产生同样明显的影响:在3.06 Å时,带隙变宽至1.83 eV,但在进一步收缩至1.56 Å时,带隙突然坍缩至0.16 eV。垂直的电场提供了额外的控制杠杆;适度的电场-0.1 V Å-1将带隙提升到1.85 eV,而更强的电场-0.5 V Å-1将带隙完全淬灭,使系统进入金属状态。详细阐明了控制这些带隙调制的基本机制。总的来说,这些结果突出了MoSi2N4/GeI2 vdWH的显著可调性,从而为光电和柔性电子领域的下一代器件的合理概念提供了理论框架。
{"title":"Multifield modulation of electronic structure in MoSi2N4/GeI2 van der Waals heterostructures","authors":"Yuanlei Zhao,&nbsp;Xuewen Wang,&nbsp;Yingying Zhao,&nbsp;Ting Zhu,&nbsp;Zhaoming Fu,&nbsp;Syed Awais Ahmad,&nbsp;Weibin Zhang,&nbsp;Quanhong Ou","doi":"10.1016/j.cjph.2025.12.028","DOIUrl":"10.1016/j.cjph.2025.12.028","url":null,"abstract":"<div><div>Through first-principles calculations, we systematically explored the evolution of the electronic structure of MoSi<sub>2</sub>N<sub>4</sub>/GeI<sub>2</sub> van der Waals heterostructure (vdWH) under biaxial strain, interlayer separation, and externally applied perpendicular electric fields. The pristine vdWH emerges as a direct-gap semiconductor with a bandgap of 1.69 eV. A compressive strain of 4% increases the bandgap to a maximum of 2.23 eV, whereas a tensile strain induces a precipitous reduction to 0.63 eV at 8%. Variations in interlayer spacing exert an equally pronounced influence: the bandgap broadens to 1.83 eV at 3.06 Å, but collapses abruptly to 0.16 eV upon further contraction to 1.56 Å. Perpendicular E-fields provide an additional lever of control; a modest field of -0.1 V Å<sup>-1</sup> elevates the bandgap to 1.85 eV, while stronger fields of -0.5 V Å<sup>-1</sup> quench the gap entirely, driving the system into a metallic state. The underlying mechanisms governing these bandgap modulations are elucidated in detail. Collectively, these results highlight the remarkable tunability of MoSi<sub>2</sub>N<sub>4</sub>/GeI<sub>2</sub> vdWH, thereby providing a theoretical framework for the rational conception of next-generation devices in the optoelectronic and flexible electronic domains.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"100 ","pages":"Pages 113-126"},"PeriodicalIF":4.6,"publicationDate":"2025-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146035642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaotic dynamics and homogeneous coexisting behaviors in Josephson junction-based system 基于Josephson结的系统混沌动力学与同质共存行为
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-24 DOI: 10.1016/j.cjph.2025.12.030
Ling Lu , Haikong Lu , Bocheng Bao
To demonstrate the chaotic dynamics and homogeneous coexisting behaviors triggered by a Josephson junction (JJ), this study proposes a four-dimensional JJ-based system by coupling a JJ with a three-dimensional linear dynamical system. The equilibrium points with stability are discussed theoretically. By employing various numerical methods, the bifurcation behaviors that depend on the JJ parameters are investigated, and the homogeneous coexisting behaviors that depend on the initial-values are inspected. Theoretical analyses and numerical calculations manifest that the proposed system owns infinitely many isolated equilibrium points whose stability is associated with the JJ parameters and the JJ initial-value. The nonlinearity of JJ enables the proposed system to show chaotic dynamics, and the JJ initial-value offset can cause the proposed system to present homogeneous coexisting attractors. Finally, an analog circuit is developed to implement the JJ-based system, and the circuit simulations and hardware experiments confirm the numerical calculations.
为了证明约瑟夫森结(Josephson junction, JJ)引发的混沌动力学和均匀共存行为,本研究通过将JJ与三维线性动力系统耦合,提出了一个基于四维约瑟夫森结的系统。从理论上讨论了具有稳定性的平衡点。采用多种数值方法研究了依赖于JJ参数的分岔行为,以及依赖于初始值的齐次共存行为。理论分析和数值计算表明,该系统具有无穷多个孤立平衡点,其稳定性与JJ参数和JJ初值有关。JJ的非线性使系统呈现混沌动力学,JJ的初值偏移使系统呈现齐次共存吸引子。最后,开发了一个模拟电路来实现基于jj的系统,并进行了电路仿真和硬件实验,验证了数值计算的正确性。
{"title":"Chaotic dynamics and homogeneous coexisting behaviors in Josephson junction-based system","authors":"Ling Lu ,&nbsp;Haikong Lu ,&nbsp;Bocheng Bao","doi":"10.1016/j.cjph.2025.12.030","DOIUrl":"10.1016/j.cjph.2025.12.030","url":null,"abstract":"<div><div>To demonstrate the chaotic dynamics and homogeneous coexisting behaviors triggered by a Josephson junction (JJ), this study proposes a four-dimensional JJ-based system by coupling a JJ with a three-dimensional linear dynamical system. The equilibrium points with stability are discussed theoretically. By employing various numerical methods, the bifurcation behaviors that depend on the JJ parameters are investigated, and the homogeneous coexisting behaviors that depend on the initial-values are inspected. Theoretical analyses and numerical calculations manifest that the proposed system owns infinitely many isolated equilibrium points whose stability is associated with the JJ parameters and the JJ initial-value. The nonlinearity of JJ enables the proposed system to show chaotic dynamics, and the JJ initial-value offset can cause the proposed system to present homogeneous coexisting attractors. Finally, an analog circuit is developed to implement the JJ-based system, and the circuit simulations and hardware experiments confirm the numerical calculations.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 438-449"},"PeriodicalIF":4.6,"publicationDate":"2025-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145880958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Counterfactual bidirectional quantum operation teleportation protocol 反事实双向量子操作隐形传态协议
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-24 DOI: 10.1016/j.cjph.2025.12.027
Rui-Chen Huang , Yu-Guang Yang , Guang-Bao Xu , Dong-Huan Jiang
Traditional quantum operation teleportation protocols require the transmission of photons through quantum channels, which are subject to certain vulnerabilities. This paper proposes a counterfactual bidirectional quantum operation teleportation protocol, which enables the counterfactual remote transmission of quantum operations in both directions without the need for actual quantum state transmission or pre-shared entanglement. Compared to existing quantum operation teleportation protocols, this protocol offers enhanced security, providing a novel technical pathway for the widespread application of quantum communication.
传统的量子操作隐形传态协议需要通过量子通道传输光子,这存在一定的漏洞。本文提出了一种反事实双向量子操作隐形传态协议,实现了量子操作双向反事实远程传输,而无需实际量子态传输或预共享纠缠。与现有的量子操作隐形传态协议相比,该协议具有更高的安全性,为量子通信的广泛应用提供了新的技术途径。
{"title":"Counterfactual bidirectional quantum operation teleportation protocol","authors":"Rui-Chen Huang ,&nbsp;Yu-Guang Yang ,&nbsp;Guang-Bao Xu ,&nbsp;Dong-Huan Jiang","doi":"10.1016/j.cjph.2025.12.027","DOIUrl":"10.1016/j.cjph.2025.12.027","url":null,"abstract":"<div><div>Traditional quantum operation teleportation protocols require the transmission of photons through quantum channels, which are subject to certain vulnerabilities. This paper proposes a counterfactual bidirectional quantum operation teleportation protocol, which enables the counterfactual remote transmission of quantum operations in both directions without the need for actual quantum state transmission or pre-shared entanglement. Compared to existing quantum operation teleportation protocols, this protocol offers enhanced security, providing a novel technical pathway for the widespread application of quantum communication.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 535-548"},"PeriodicalIF":4.6,"publicationDate":"2025-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145920906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Normal Shock Wave Propagation in Magnetized Turbulent Flow Using Analytical and Neural Network 基于解析网络和神经网络的激波在磁化湍流中的传播
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-23 DOI: 10.1016/j.cjph.2025.12.022
Tanya Srivastava , Nilam VenkataKoteswararao
A parametric study is done to investigate the change in fluid properties due to normal shock wave and turbulent flow interaction, taking into account the influence of the magnetic field. These effects are significant for the development of plasma propulsion systems, compressible fluid dynamics and aerospace technologies. A modified Rankine–Hugoniot model has been developed in order to accomplish this. The analysis begins with the derivation of governing equations that include the effects of the magnetic field for compressible and turbulent flow. The analysis has been enhanced further by using Artificial Neural Network techniques to predict Mach number and shock strength using a back-propagation algorithm that has been optimised using the Levenberg–Marquardt method. Turbulence intensity and magnetic fields significantly affect the compression process across the shock and downstream flow characteristics, leading to variations in density, velocity and Mach number ratios. These results offer new perspectives for the design and efficiency of high-speed flow systems and offer important insights into the dynamics of shocks in magnetised turbulent environments.
考虑磁场的影响,对正常激波和湍流相互作用下流体性质的变化进行了参数化研究。这些效应对等离子体推进系统、可压缩流体动力学和航空航天技术的发展具有重要意义。为了实现这一目标,一个改进的Rankine-Hugoniot模型被开发出来。分析开始于控制方程的推导,其中包括磁场对可压缩流和湍流的影响。通过使用人工神经网络技术预测马赫数和冲击强度,该分析得到了进一步的增强,并使用Levenberg-Marquardt方法优化了反向传播算法。湍流强度和磁场显著影响激波压缩过程和下游流动特性,导致密度、速度和马赫数比的变化。这些结果为高速流动系统的设计和效率提供了新的视角,并为磁化湍流环境中的冲击动力学提供了重要的见解。
{"title":"Normal Shock Wave Propagation in Magnetized Turbulent Flow Using Analytical and Neural Network","authors":"Tanya Srivastava ,&nbsp;Nilam VenkataKoteswararao","doi":"10.1016/j.cjph.2025.12.022","DOIUrl":"10.1016/j.cjph.2025.12.022","url":null,"abstract":"<div><div>A parametric study is done to investigate the change in fluid properties due to normal shock wave and turbulent flow interaction, taking into account the influence of the magnetic field. These effects are significant for the development of plasma propulsion systems, compressible fluid dynamics and aerospace technologies. A modified Rankine–Hugoniot model has been developed in order to accomplish this. The analysis begins with the derivation of governing equations that include the effects of the magnetic field for compressible and turbulent flow. The analysis has been enhanced further by using Artificial Neural Network techniques to predict Mach number and shock strength using a back-propagation algorithm that has been optimised using the Levenberg–Marquardt method. Turbulence intensity and magnetic fields significantly affect the compression process across the shock and downstream flow characteristics, leading to variations in density, velocity and Mach number ratios. These results offer new perspectives for the design and efficiency of high-speed flow systems and offer important insights into the dynamics of shocks in magnetised turbulent environments.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"100 ","pages":"Pages 23-38"},"PeriodicalIF":4.6,"publicationDate":"2025-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145975516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Observational signatures of the Schwarzschild-like black hole 类史瓦西黑洞的观测特征
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-19 DOI: 10.1016/j.cjph.2025.12.024
Javokhir Sharipov , Mirzabek Alloqulov , Pankaj Sheoran , Sanjar Shaymatov
The nature of black holes (BHs) and their potential deviations from classical General Relativity (GR) remain fundamental questions in modern astrophysics. Nonlinear electrodynamics (NED) has been proposed as a viable mechanism to construct regular BHs that avoid singularities while preserving essential astrophysical properties. In this work, we perform a comprehensive analysis of NED-inspired BHs, deriving constraints on the magnetic parameter through both theoretical analysis and Bayesian parameter estimation using Event Horizon Telescope (EHT) observations of shadow sizes and GRAVITY collaboration measurements of stellar orbits for Sgr A*. Our Markov Chain Monte Carlo (MCMC) analysis yields magnetic charge estimates consistent with zero: q=0.00090.4908+0.4915×109M for M87* and q=0.00000.4553+0.4532×106M for Sgr A*, establishing important upper limits while showing no evidence for significant magnetic charge in either source. We perform a comparative analysis of observational signatures including BH shadows (using Rsh=rph/f(rph), where Rsh is the shadow radius observed at infinity and rph is the photon sphere radius), and gravitational lensing under uniform and non-uniform plasma conditions, demonstrating how deviations from standard GR solutions emerge due to nonlinear electrodynamics. Our findings demonstrate that while current EHT data do not require non-zero magnetic charge, NED-induced modifications could leave detectable imprints on strong-field astrophysical processes, providing new opportunities to test alternative theories of gravity. Future missions, including the Laser Interferometer Space Antenna (LISA) and next-generation X-ray observatories, will play a crucial role in refining constraints on these theoretical models, building upon our MCMC-constrained parameter space while complementing ongoing observations from the EHT and precision mass measurements from instruments like GRAVITY, providing a more comprehensive understanding of BH physics and potential deviations from GR.
黑洞(BHs)的性质及其对经典广义相对论(GR)的潜在偏离仍然是现代天体物理学中的基本问题。非线性电动力学(NED)已被提出作为一种可行的机制来构建规则黑洞,以避免奇点,同时保持基本的天体物理特性。在这项工作中,我们对受ned启发的黑洞进行了全面的分析,利用事件视界望远镜(EHT)对阴影大小的观测和Sgr a *恒星轨道的重力协作测量,通过理论分析和贝叶斯参数估计推导出磁参数的约束。我们的马尔可夫链蒙特卡罗(MCMC)分析得出了与零一致的磁荷估计:M87*的q=−0.0009−0.4908+0.4915×109M⊙,Sgr A*的q=−0.0000−0.4553+0.4532×106M⊙,建立了重要的上限,但没有证据表明两个源都存在显著的磁荷。我们对观测特征进行了比较分析,包括黑洞阴影(使用Rsh=rph/f(rph),其中Rsh是在无穷远处观测到的阴影半径,rph是光子球半径),以及均匀和非均匀等离子体条件下的引力透镜,展示了非线性电动力学如何导致标准GR解的偏差。我们的研究结果表明,虽然目前的EHT数据不需要非零磁荷,但ned诱导的修改可能会在强场天体物理过程中留下可检测的印记,为测试其他引力理论提供了新的机会。未来的任务,包括激光干涉仪空间天线(LISA)和下一代x射线天文台,将在完善这些理论模型的约束方面发挥关键作用,建立在mcmc约束的参数空间上,同时补充EHT正在进行的观测和重力等仪器的精确质量测量,提供对黑洞物理和潜在偏差的更全面的理解。
{"title":"Observational signatures of the Schwarzschild-like black hole","authors":"Javokhir Sharipov ,&nbsp;Mirzabek Alloqulov ,&nbsp;Pankaj Sheoran ,&nbsp;Sanjar Shaymatov","doi":"10.1016/j.cjph.2025.12.024","DOIUrl":"10.1016/j.cjph.2025.12.024","url":null,"abstract":"<div><div>The nature of black holes (BHs) and their potential deviations from classical General Relativity (GR) remain fundamental questions in modern astrophysics. Nonlinear electrodynamics (NED) has been proposed as a viable mechanism to construct regular BHs that avoid singularities while preserving essential astrophysical properties. In this work, we perform a comprehensive analysis of NED-inspired BHs, deriving constraints on the magnetic parameter through both theoretical analysis and Bayesian parameter estimation using Event Horizon Telescope (EHT) observations of shadow sizes and GRAVITY collaboration measurements of stellar orbits for Sgr A*. Our Markov Chain Monte Carlo (MCMC) analysis yields magnetic charge estimates consistent with zero: <span><math><mrow><mi>q</mi><mo>=</mo><mo>−</mo><mn>0</mn><mo>.</mo><msubsup><mn>0009</mn><mrow><mo>−</mo><mn>0.4908</mn></mrow><mrow><mo>+</mo><mn>0.4915</mn></mrow></msubsup><mo>×</mo><msup><mn>10</mn><mn>9</mn></msup><msub><mi>M</mi><mo>⊙</mo></msub></mrow></math></span> for M87* and <span><math><mrow><mi>q</mi><mo>=</mo><mo>−</mo><mn>0</mn><mo>.</mo><msubsup><mn>0000</mn><mrow><mo>−</mo><mn>0.4553</mn></mrow><mrow><mo>+</mo><mn>0.4532</mn></mrow></msubsup><mo>×</mo><msup><mn>10</mn><mn>6</mn></msup><msub><mi>M</mi><mo>⊙</mo></msub></mrow></math></span> for Sgr A*, establishing important upper limits while showing no evidence for significant magnetic charge in either source. We perform a comparative analysis of observational signatures including BH shadows (using <span><math><mrow><msub><mi>R</mi><mtext>sh</mtext></msub><mo>=</mo><msub><mi>r</mi><mtext>ph</mtext></msub><mo>/</mo><msqrt><mrow><mi>f</mi><mo>(</mo><msub><mi>r</mi><mtext>ph</mtext></msub><mo>)</mo></mrow></msqrt></mrow></math></span>, where <em>R</em><sub>sh</sub> is the shadow radius observed at infinity and <em>r</em><sub>ph</sub> is the photon sphere radius), and gravitational lensing under uniform and non-uniform plasma conditions, demonstrating how deviations from standard GR solutions emerge due to nonlinear electrodynamics. Our findings demonstrate that while current EHT data do not require non-zero magnetic charge, NED-induced modifications could leave detectable imprints on strong-field astrophysical processes, providing new opportunities to test alternative theories of gravity. Future missions, including the Laser Interferometer Space Antenna (LISA) and next-generation X-ray observatories, will play a crucial role in refining constraints on these theoretical models, building upon our MCMC-constrained parameter space while complementing ongoing observations from the EHT and precision mass measurements from instruments like GRAVITY, providing a more comprehensive understanding of BH physics and potential deviations from GR.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 461-480"},"PeriodicalIF":4.6,"publicationDate":"2025-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145921007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifurcation and chaos control of a fractional Duffing oscillator with asymmetric potential and distributed time delay 具有非对称势和分布时滞的分数阶Duffing振荡器的分岔与混沌控制
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-18 DOI: 10.1016/j.cjph.2025.12.020
Xueling Liu , Jing Huang , Yufeng Zhang , Junlin Li
As is well known, most models in scientific research and engineering feature asymmetric potentials. Gaining a deeper understanding of how the symmetry-breaking phenomenon affects the response mechanisms of systems is both meaningful and crucial. In this paper, we primarily explore the dynamic properties, including bifurcation and chaos, of a bi-frequency excited fractional Duffing oscillator with distributed time delay, whose symmetry is disrupted by a quadratic nonlinearity. First, via the method of direct partition of motions, the original system is transformed into an equivalent integer-order slow system, where the saddle-node bifurcation and vibrational resonance, induced by system parameters, are observed. It is found that the saddle-node bifurcation will transition to a pitchfork bifurcation if the quadratic nonlinearity vanishes. Then, by applying the Melnikov method to the system, we rigorously define two distinct critical conditions for chaos, each corresponding to the left and right sides of homoclinic orbits. Bifurcation diagram, largest Lyapunov exponents, and phase portrait, further confirm the accuracy of the theoretical predictions. Finally, to suppress the chaos, a parameter periodic excitation is introduced, and additionally, a criterion for chaos inhibition is established. Numerical simulations reveal that the control effect is both pronounced and noticeable. This work provides a theoretical basis for detecting the bifurcation and chaos in fractional models with asymmetric characteristics.
众所周知,科学研究和工程中的大多数模型都具有不对称势。深入了解对称性破缺现象如何影响系统的响应机制是有意义的,也是至关重要的。本文主要研究了对称被二次非线性破坏的具有分布时滞的双频激励分数阶Duffing振荡器的动力学性质,包括分岔和混沌。首先,通过运动直接分割的方法,将原系统转化为等效的整阶慢系统,观察到系统参数引起的鞍节点分岔和振动共振;发现当二次非线性消失时,鞍节点分岔将转变为干草叉分岔。然后,通过将Melnikov方法应用于系统,我们严格定义了两个不同的混沌临界条件,每个临界条件对应于同斜轨道的左右两侧。分岔图、最大李雅普诺夫指数和相图进一步证实了理论预测的准确性。最后,为了抑制混沌,引入了参数周期激励,并建立了混沌抑制准则。数值模拟结果表明,控制效果明显。该工作为非对称分数阶模型的分岔和混沌检测提供了理论基础。
{"title":"Bifurcation and chaos control of a fractional Duffing oscillator with asymmetric potential and distributed time delay","authors":"Xueling Liu ,&nbsp;Jing Huang ,&nbsp;Yufeng Zhang ,&nbsp;Junlin Li","doi":"10.1016/j.cjph.2025.12.020","DOIUrl":"10.1016/j.cjph.2025.12.020","url":null,"abstract":"<div><div>As is well known, most models in scientific research and engineering feature asymmetric potentials. Gaining a deeper understanding of how the symmetry-breaking phenomenon affects the response mechanisms of systems is both meaningful and crucial. In this paper, we primarily explore the dynamic properties, including bifurcation and chaos, of a bi-frequency excited fractional Duffing oscillator with distributed time delay, whose symmetry is disrupted by a quadratic nonlinearity. First, via the method of direct partition of motions, the original system is transformed into an equivalent integer-order slow system, where the saddle-node bifurcation and vibrational resonance, induced by system parameters, are observed. It is found that the saddle-node bifurcation will transition to a pitchfork bifurcation if the quadratic nonlinearity vanishes. Then, by applying the Melnikov method to the system, we rigorously define two distinct critical conditions for chaos, each corresponding to the left and right sides of homoclinic orbits. Bifurcation diagram, largest Lyapunov exponents, and phase portrait, further confirm the accuracy of the theoretical predictions. Finally, to suppress the chaos, a parameter periodic excitation is introduced, and additionally, a criterion for chaos inhibition is established. Numerical simulations reveal that the control effect is both pronounced and noticeable. This work provides a theoretical basis for detecting the bifurcation and chaos in fractional models with asymmetric characteristics.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 341-355"},"PeriodicalIF":4.6,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Melnikov analysis of multiple homoclinic orbits in the spring-coupled rotational inverted pendulum 弹簧耦合旋转倒立摆中多个同斜轨道的Melnikov分析
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-18 DOI: 10.1016/j.cjph.2025.12.023
Ran Sun , Jing Li , Shaotao Zhu , Xinxing Zhou
The investigation of chaotic characteristics in multi-well nonlinear systems is one of the key issues for advancing their engineering applications. However, existing studies on the dynamical behaviors of multi-homoclinic orbits and inter-well motions in multistable systems remain insufficient. A spring-coupled rotational inverted pendulum system (SRIP) was established by combining an inverted pendulum and a two-dimensional planar oscillator, enabling the structural multi-stability and homoclinic orbit characteristics to be modulated through parameter adjustments. The equations of motion for both the single-degree-of-freedom(SDOF) and the two-degree-of-freedom(2DOF) SRIP system were derived using Lagrange’s equations. The chaotic response characteristics were then analyzed via the energy and Melnikov functions of homoclinic orbits. The contour plots of energy function for the SDOF SRIP system characterize the topological structures of its phase plane, while the bifurcation characteristics of equilibrium points were examined by analyzing the stability of local extrema in the potential function. Homoclinic bifurcations were depicted by the contours corresponding to the energy levels of unstable equilibrium points. For the 2DOF system, dimensional reduction was performed, and a semi-analytical approach combining Melnikov functions was applied to evaluate the oriented distances between stable and unstable manifolds of various types of homoclinic orbits, thereby characterizing the chaotic responses under perturbations. Numerical simulations validated the analytical results. With increasing coupling stiffness, pitchfork bifurcations of equilibrium points and homoclinic-heteroclinic bifurcations emerge. Under larger excitation amplitudes, both confined and rotational chaos occur, and global characteristics of the attractors were qualitatively analyzed via maximal Lyapunov exponent and Poincare´ maps.
多井非线性系统混沌特性的研究是推进其工程应用的关键问题之一。然而,对于多稳态系统中多同斜轨道和井间运动的动力学行为,目前的研究还不够充分。将一个倒立摆与一个二维平面振子相结合,建立了一个弹簧耦合旋转倒立摆系统(SRIP),通过参数调整实现了结构的多稳定性和同斜轨道特性调制。利用拉格朗日方程推导了单自由度(SDOF)和二自由度(2DOF)系统的运动方程。利用同斜轨道的能量函数和Melnikov函数分析了混沌响应特性。SDOF SRIP系统的能量函数等高线图表征了其相平面的拓扑结构,并通过分析势函数中局部极值的稳定性来考察平衡点的分岔特征。用不稳定平衡点能级对应的等高线来描述同斜分岔。对二自由度系统进行降维处理,采用结合Melnikov函数的半解析方法计算了各类型同斜轨道的稳定流形与不稳定流形之间的取向距离,从而表征了扰动作用下的混沌响应。数值模拟验证了分析结果。随着耦合刚度的增加,平衡点出现干草叉分岔和同斜-异斜分岔。在较大的激励幅值下,发生了受限混沌和旋转混沌,并通过极大Lyapunov指数和Poincare映射定性地分析了吸引子的全局特征。
{"title":"Melnikov analysis of multiple homoclinic orbits in the spring-coupled rotational inverted pendulum","authors":"Ran Sun ,&nbsp;Jing Li ,&nbsp;Shaotao Zhu ,&nbsp;Xinxing Zhou","doi":"10.1016/j.cjph.2025.12.023","DOIUrl":"10.1016/j.cjph.2025.12.023","url":null,"abstract":"<div><div>The investigation of chaotic characteristics in multi-well nonlinear systems is one of the key issues for advancing their engineering applications. However, existing studies on the dynamical behaviors of multi-homoclinic orbits and inter-well motions in multistable systems remain insufficient. A spring-coupled rotational inverted pendulum system (SRIP) was established by combining an inverted pendulum and a two-dimensional planar oscillator, enabling the structural multi-stability and homoclinic orbit characteristics to be modulated through parameter adjustments. The equations of motion for both the single-degree-of-freedom(SDOF) and the two-degree-of-freedom(2DOF) SRIP system were derived using Lagrange’s equations. The chaotic response characteristics were then analyzed via the energy and Melnikov functions of homoclinic orbits. The contour plots of energy function for the SDOF SRIP system characterize the topological structures of its phase plane, while the bifurcation characteristics of equilibrium points were examined by analyzing the stability of local extrema in the potential function. Homoclinic bifurcations were depicted by the contours corresponding to the energy levels of unstable equilibrium points. For the 2DOF system, dimensional reduction was performed, and a semi-analytical approach combining Melnikov functions was applied to evaluate the oriented distances between stable and unstable manifolds of various types of homoclinic orbits, thereby characterizing the chaotic responses under perturbations. Numerical simulations validated the analytical results. With increasing coupling stiffness, pitchfork bifurcations of equilibrium points and homoclinic-heteroclinic bifurcations emerge. Under larger excitation amplitudes, both confined and rotational chaos occur, and global characteristics of the attractors were qualitatively analyzed via maximal Lyapunov exponent and Poincar<span><math><mrow><mover><mi>e</mi><mo>´</mo></mover></mrow></math></span> maps.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 393-411"},"PeriodicalIF":4.6,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145880792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Photoinduced coexistence of spin-polarized antichiral and chiral edge states enabling defect-induced spin filters 光诱导自旋极化反手性和手性边缘态共存,使缺陷诱导自旋滤波器成为可能
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-18 DOI: 10.1016/j.cjph.2025.12.025
Jia-En Yang , Xiao-Long Lü , En-Jia Ye
Topological edge states are crucial for designing future electronic devices. This study achieves mixed coexisting spin-polarized antichiral and chiral edge states by radiating the upper or lower half of the stanene nanoribbons with off-resonant circularly polarized light. Specifically, the circularly polarized light alters the edge states on one boundary, while those on the other remain unchanged. Unlike the antichiral edge states achieved by the modified Haldane model, these photoinduced antichiral edge states are fragile with narrow nanoribbons but robust with wide ones. This nanoribbon width dependence is mainly because the associated bulk states behave similarly to the inner-edge state, whose robustness is related to the nanoribbon width. Using the mixed coexisting edge states, defect-induced and external-field-induced spin filters are proposed. These edge states and spin filters could prove vital for designing future electronic devices.
拓扑边缘态对未来电子器件的设计至关重要。本研究通过非共振圆偏振光照射stanene纳米带的上半部分或下半部分,获得了混合共存的自旋极化反手性和手性边缘态。具体来说,圆偏振光改变了一个边界上的边缘状态,而另一个边界上的边缘状态保持不变。与改进的Haldane模型得到的反手性边缘态不同,这些光诱导的反手性边缘态在窄纳米带中是脆弱的,而在宽纳米带中是鲁棒的。这种纳米带宽度依赖性主要是因为相关体态的行为与内缘态相似,内缘态的鲁棒性与纳米带宽度有关。利用混合共存边缘态,提出了缺陷诱导自旋滤波器和外场诱导自旋滤波器。这些边缘状态和自旋滤波器对于设计未来的电子设备至关重要。
{"title":"Photoinduced coexistence of spin-polarized antichiral and chiral edge states enabling defect-induced spin filters","authors":"Jia-En Yang ,&nbsp;Xiao-Long Lü ,&nbsp;En-Jia Ye","doi":"10.1016/j.cjph.2025.12.025","DOIUrl":"10.1016/j.cjph.2025.12.025","url":null,"abstract":"<div><div>Topological edge states are crucial for designing future electronic devices. This study achieves mixed coexisting spin-polarized antichiral and chiral edge states by radiating the upper or lower half of the stanene nanoribbons with off-resonant circularly polarized light. Specifically, the circularly polarized light alters the edge states on one boundary, while those on the other remain unchanged. Unlike the antichiral edge states achieved by the modified Haldane model, these photoinduced antichiral edge states are fragile with narrow nanoribbons but robust with wide ones. This nanoribbon width dependence is mainly because the associated bulk states behave similarly to the inner-edge state, whose robustness is related to the nanoribbon width. Using the mixed coexisting edge states, defect-induced and external-field-induced spin filters are proposed. These edge states and spin filters could prove vital for designing future electronic devices.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 383-392"},"PeriodicalIF":4.6,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145880789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Chinese Journal of Physics
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1