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On hydromagnetic two-phase gas-liquid flow in ciliary channel: An application of a metachronal rhythm 纤毛通道中的水磁性气液两相流:元节奏的应用
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-07 DOI: 10.1016/j.cjph.2024.11.003
G. Fatima , Ambreen A Khan , R. Ellahi , Sadiq M. Sait
The study of two-phase flows, encompassing gas-liquid plays a pivotal role in various industrial and biomedical applications. It investigates the behavior of an annular two-phase flow within ciliary channels, separated by compressible and incompressible flow regimes, in the presence of a magnetic field. The compressible flow is confined in the core region surrounded by the liquid phase. To analyze the flow characteristics, continuity, and momentum equations are considered for both phases. The compressible phase involves significant changes in density, requiring consideration of compressibility effects and the equation of state. Velocity and stresses are assumed to be equal at the interface. The system of mathematical equations is solved analytically by using the regular perturbation technique. The behavior of each phase with the input parameters is described thoroughly. The magnetic parameter is found to decrease while the Reynolds number increases for the velocity profile. The study's outcomes can contribute to the advancement of multiphase flow research by offering a versatile platform for innovation in biomedical engineering, with a thorough examination of the intricate relationship between ciliary motion, compressible and incompressible fluids, and MHD effects in ciliary channels.
气液两相流研究在各种工业和生物医学应用中发挥着举足轻重的作用。它研究的是在磁场作用下,纤毛通道内的环形两相流的行为。可压缩流被限制在液相包围的核心区域。为了分析流动特性,考虑了两相的连续性和动量方程。可压缩相涉及密度的显著变化,需要考虑可压缩性效应和状态方程。假定界面处的速度和应力相等。数学方程系统采用常规扰动技术进行分析求解。对每一相的行为与输入参数进行了详细描述。研究发现,在速度剖面上,磁性参数减小,而雷诺数增大。该研究成果为生物医学工程领域的创新提供了一个多功能平台,对纤毛运动、可压缩和不可压缩流体以及纤毛通道中的多相流效应之间的复杂关系进行了深入研究,有助于推动多相流研究的发展。
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引用次数: 0
A two-dimensional TaGe2P4–WSi2As4 van der Waals heterojunction: A near-ideal rectifier 二维 TaGe2P4-WSi2As4 范德华异质结:近乎理想的整流器
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-05 DOI: 10.1016/j.cjph.2024.10.038
Wei-Kang Zhang, Yue-Hong Liu, Hang He, Guang-Ping Zhang, Zong-Liang Li, Chuan-Kui Wang, Xiao-Xiao Fu
Searching for suitable 2D metal-semiconductor interfaces to design high-performance Schottky diodes is essential for the continuous miniaturization of devices. Herein, by using the first-principles calculations, we propose a near-ideal two-dimensional van der Waals rectifier consisting of the monolayer TaGe2P4 metal and the WSi2As4 semiconductor with ultra-clean interface and free dangling bonds. The van der Waals heterojunction has a p-type Schottky contact at both the vertical and lateral interfaces. The Schottky barriers lead to the asymmetry of electronic transport under the positive and negative bias voltages, thus resulting in a remarkable rectification behavior. The rectifying properties can be improved by regulating the length of the semiconductor and the overlapping region, and an ultra-high rectification ratio of 107 is obtained at a low bias voltage. The origin of the rectification effect and the regulating mechanism are explained in terms of the projected local density of states, transmission eigenstates, potential drop, and transmission spectra. It is found that increasing the relative length of the semiconductive part in the device enlarges the width of the Schottky barrier, which largely reduces the reverse current dominated by the electron tunneling while little affects the positive current, and thus leads to a significant improvement in the rectification performance. These results suggest that the TaGe2P4–WSi2As4 van der Waals heterojunction has promising application as a near-ideal rectifier.
寻找合适的二维金属-半导体界面来设计高性能肖特基二极管对于器件的不断微型化至关重要。在此,我们通过第一原理计算,提出了一种近乎理想的二维范德华整流器,它由单层 TaGe2P4 金属和 WSi2As4 半导体组成,具有超洁净界面和自由悬键。范德华异质结在垂直和横向界面上都有一个 p 型肖特基接触。肖特基势垒导致正负偏置电压下的电子传输不对称,从而产生了显著的整流特性。通过调节半导体和重叠区的长度可以改善整流特性,在低偏置电压下可以获得 107 的超高整流比。整流效应的起源和调节机制从投影局部态密度、透射特征态、电位降和透射光谱等方面进行了解释。研究发现,增加器件中半导体部分的相对长度会增大肖特基势垒的宽度,这在很大程度上降低了由电子隧穿主导的反向电流,而对正向电流影响不大,从而显著改善了整流性能。这些结果表明,TaGe2P4-WSi2As4 范德华异质结作为一种接近理想的整流器具有广阔的应用前景。
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引用次数: 0
Dynamical analysis and hardware verification of a new multistable memristive hyperchaotic map 新型多稳态记忆超混沌图的动态分析和硬件验证
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-04 DOI: 10.1016/j.cjph.2024.10.031
Qiang Lai , Chongkun Zhu , Luigi Fortuna
In this paper, a three-dimensional (3D) memristive hyperchaotic map is designed by coupling discrete memristor (DM). Structurally, the map features the existence of infinite fixed points. Based on the differential setting of parameters for various initial values, it can produce an infinite number of heterogeneous coexisting attractors or homogeneous coexisting attractors. Simultaneously, it can realize the attractors symmetric control. The numerical analysis and simulation results highlight its rich dynamical behaviors and excellent performance. A digital hardware platform based on a microcontroller is designed, clearly demonstrating the efficacy of the design through distinct visualization of attractors on an oscilloscope, providing tangible evidence of the successful hardware platform implementation.
本文通过耦合离散忆阻器(DM)设计了一种三维(3D)忆阻超混沌图。从结构上看,该图具有存在无限定点的特点。基于对不同初始值参数的微分设置,它可以产生无限多的异质共存吸引子或同质共存吸引子。同时,它还能实现吸引子的对称控制。数值分析和仿真结果凸显了其丰富的动力学行为和卓越的性能。设计了一个基于微控制器的数字硬件平台,通过示波器对吸引子的清晰可视化,清楚地展示了设计的功效,为硬件平台的成功实现提供了切实的证据。
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引用次数: 0
Ultrahigh quality factor cavity based on double dielectric nanocylinder metasurfaces 基于双介电纳米圆柱元表面的超高品质因数空腔
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-01 DOI: 10.1016/j.cjph.2024.10.036
Seokhyeon Hong, Youngsoo Kim, Seung Hyeon Hong, Bokyung Kim, Soon-Hong Kwon
An optical cavity with a high quality factor (Q-factor) is essential for a wide range of applications, including lasers, single-photon sources, optical filters, and sensors. A high Q-factor cavity can enhance the interaction between light and materials, thereby improving the performance of optical devices. The Fabry–Pérot (FP) cavity is a typical optical device capable of achieving a high Q-factor; however, it often relies on distributed Bragg reflectors, which increase the size of the optical device. In recent years, Mie scattering-based metasurfaces with high reflectivity have been studied as alternatives to distributed Bragg reflectors. We propose a scattering-based FP cavity consisting of two metasurface layers. In our structure, a FP cavity with high reflectivity is formed by back-forward scattering from a single dielectric cylinder array. Our findings show that the structure exhibits a Q-factor of 4.36 × 1010 when the period and gap size are 658.8 nm and 740 nm, respectively. This high Q-factor is maintained even with misalignment between the two layers. Additionally, we confirmed that a high Q-factor of 2.6 × 106 appears in the low-index substrate structure, with the Q-factor increasing with the number of double cylinders in the finite structure. We also observed a strong directionality in the z-axis direction when examining the far field. We designed the dielectric FP cavity with a subwavelength thickness, is expected to significantly contribute to enhancing the Q-factors of various types of optical cavities.
具有高品质因数(Q 因子)的光腔对于激光器、单光子源、光学滤波器和传感器等广泛应用至关重要。高 Q 因子空腔可以增强光与材料之间的相互作用,从而提高光学设备的性能。法布里-佩罗(Fabry-Pérot,FP)腔是一种能够实现高 Q 因子的典型光学器件,但它通常依赖于分布式布拉格反射器,从而增加了光学器件的尺寸。近年来,人们开始研究基于米氏散射的高反射率元表面,以替代分布式布拉格反射器。我们提出了一种由两层元表面组成的基于散射的 FP 腔。在我们的结构中,具有高反射率的 FP 腔是通过单个介质圆柱阵列的后向散射形成的。我们的研究结果表明,当周期和间隙尺寸分别为 658.8 nm 和 740 nm 时,该结构的 Q 值系数为 4.36 × 1010。即使两层之间出现错位,也能保持如此高的 Q 因子。此外,我们还证实在低指数基底结构中出现了 2.6 × 106 的高 Q 因子,Q 因子随有限结构中双圆柱的数量而增加。我们还观察到远场在 Z 轴方向具有很强的方向性。我们设计的介质 FP 腔具有亚波长厚度,有望显著提高各类光腔的 Q 因子。
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引用次数: 0
Ultra-wideband terahertz absorber with switchable multiple modes based on graphene and vanadium dioxide metamaterials 基于石墨烯和二氧化钒超材料的可切换多模式超宽带太赫兹吸收器
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-01 DOI: 10.1016/j.cjph.2024.10.037
Jiaqi Geng , Xin-Hua Deng , Zhipeng Xiong , Jiapeng Gao , Binbin Song , Jiren Yuan
This article proposes a dynamic switchable broadband absorber based on graphene and vanadium dioxide (VO2). The temperature could adjust the conductivity of VO2, and external voltage could alter the conductivity of graphene. Therefore, they can be used for broadband absorption that can be switched between low and high frequencies and for achieving coupled ultra-wideband absorption. When the Fermi level of graphene is 0.9e V and VO2 is in a non-metallic state, the absorber can achieve absorption of over 90 % in the range of 2.55 THz-4.86 THz. When the Fermi level of graphene is 0.1e V and VO2 is in a metallic state, the absorber can achieve absorption of over 90 % in the range of 4.30 THz-9.40 THz. When the Fermi level of graphene is 0.6e V and VO2 is in a metallic state, the absorber can achieve absorption of over 90 % in the range of 2.32 THz-9.80 THz. The absorber only partially depends on the incident angle of the incident light, simulation results show that when the incident angle is below 50 degrees, more than 90 % of the absorption bandwidth changes less. The absorber has no relation to the polarization angle of the incident light, and can keep its original property at any polarization angle. This structure has potential applications in electromagnetic wave stealth devices, optical switches and filters.
本文提出了一种基于石墨烯和二氧化钒(VO2)的动态可切换宽带吸收器。温度可以调节二氧化钒的电导率,外部电压可以改变石墨烯的电导率。因此,它们可用于在低频和高频之间切换的宽带吸收,以及实现耦合超宽带吸收。当石墨烯的费米级为 0.9e V 且 VO2 处于非金属状态时,吸收器可在 2.55 THz-4.86 THz 范围内实现 90% 以上的吸收率。当石墨烯的费米级为 0.1e V 且 VO2 处于金属态时,吸收器可在 4.30 THz-9.40 THz 的范围内实现 90% 以上的吸收率。当石墨烯的费米级为 0.6e V 且 VO2 处于金属态时,吸收器在 2.32 THz-9.80 THz 范围内的吸收率可达 90% 以上。吸收体只部分取决于入射光的入射角,模拟结果表明,当入射角低于 50 度时,90% 以上的吸收带宽变化较小。吸收体与入射光的偏振角无关,在任何偏振角下都能保持原有特性。这种结构有望应用于电磁波隐形装置、光开关和滤波器。
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引用次数: 0
The role of temperature-dependent solubility in the stability of thermohaline convection within a Voigt-fluid layer 随温度变化的溶解度在沃伊特流体层内热卤对流稳定性中的作用
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-31 DOI: 10.1016/j.cjph.2024.10.035
Sangamesh , Ali J. Chamkha , K.R. Raghunatha
The study focuses on both linear and weakly nonlinear stability analyzes of thermohaline convection within a Voigt-fluid layer, considering the effects of temperature-dependent solubility. Analytical methods are employed to derive conditions for the onset of both stationary and oscillatory convection. The linear stability analysis is performed using normal mode analysis to explore how various physical parameters influence the initiation of convection. Notably, unlike Newtonian fluids, the Navier-Stokes-Voigt fluid suppresses the typical quasiperiodic bifurcation from a steady state. To gain deeper insight into the onset of convection, a weakly nonlinear stability analysis is conducted using a modified perturbation method, leading to the Ginzburg-Landau equation. This reveals the potential for subcritical instability, a phenomenon not fully captured by linear analysis alone. Additionally, the study examines how different physical parameters affect convective heat and mass transfer, with findings that align with previous studies in specific limiting cases.
研究重点是对 Voigt 流体层内的温盐对流进行线性和弱非线性稳定性分析,并考虑了随温度变化的溶解度的影响。采用分析方法推导出静止和振荡对流的开始条件。利用法模分析进行线性稳定性分析,以探讨各种物理参数如何影响对流的发生。值得注意的是,与牛顿流体不同,纳维-斯托克斯-伏依格特流体抑制了从稳态开始的典型准周期分叉。为了更深入地了解对流的发生,我们使用改进的扰动法进行了弱非线性稳定性分析,得出了金兹堡-朗道方程。这揭示了亚临界不稳定性的可能性,而线性分析并不能完全捕捉到这种现象。此外,该研究还探讨了不同物理参数对对流传热和传质的影响,研究结果与之前针对特定极限情况的研究结果一致。
{"title":"The role of temperature-dependent solubility in the stability of thermohaline convection within a Voigt-fluid layer","authors":"Sangamesh ,&nbsp;Ali J. Chamkha ,&nbsp;K.R. Raghunatha","doi":"10.1016/j.cjph.2024.10.035","DOIUrl":"10.1016/j.cjph.2024.10.035","url":null,"abstract":"<div><div>The study focuses on both linear and weakly nonlinear stability analyzes of thermohaline convection within a Voigt-fluid layer, considering the effects of temperature-dependent solubility. Analytical methods are employed to derive conditions for the onset of both stationary and oscillatory convection. The linear stability analysis is performed using normal mode analysis to explore how various physical parameters influence the initiation of convection. Notably, unlike Newtonian fluids, the Navier-Stokes-Voigt fluid suppresses the typical quasiperiodic bifurcation from a steady state. To gain deeper insight into the onset of convection, a weakly nonlinear stability analysis is conducted using a modified perturbation method, leading to the Ginzburg-Landau equation. This reveals the potential for subcritical instability, a phenomenon not fully captured by linear analysis alone. Additionally, the study examines how different physical parameters affect convective heat and mass transfer, with findings that align with previous studies in specific limiting cases.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 1293-1311"},"PeriodicalIF":4.6,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142719945","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
Systematic study of α-decay in neutron-deficient nuclei 缺中子原子核中的α衰变系统研究
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-31 DOI: 10.1016/j.cjph.2024.10.029
M. Ismail, A. Adel, A.Y. Ellithi, M.A. Abbas
The α-decay half-lives of 266 neutron-deficient nuclei in the 52 Z 118 range are calculated within the density-dependent cluster model. The realistic Michigan three-range Yukawa-Paris nucleon–nucleon interaction is used to calculate the α-core interaction potential within the double-folding model (DFM) context. In addition to the double-folding model, four analytical formulas are employed to compute the half-life time for the neutron-deficient nuclei. The obtained results from the five theoretical approaches are compared to the most recent experimental data. The calculated results from the DFM and the universal decay law (UDL) were in good agreement with the experimental data. A universal curve for α-decay of neutron-deficient nuclei has been analyzed, illustrating the correlation between the decimal logarithm of the experimental half-lives and the negative decimal logarithm of penetrability. We studied the variation of log10T with the neutron number of the daughter nuclei, Nd, for different neutron-deficient isotopes in the range 78 Z 92. We attempt to predict the neutron energy levels for each isotope from the behavior of log10T against Nd. Moreover, the impact of higher-multipolarity deformations, up to hexacontratetrapole, on the behavior of α-decay half-lives around the neutron shell closure N=126 is investigated, both with and without including octupole deformation.
在密度依赖的簇模型中计算了 52 ≤Z≤118 范围内 266 个缺中子原子核的 α 衰变半衰期。在双折叠模型(DFM)背景下,使用现实的密歇根三程汤川-巴黎核子-核子相互作用来计算α-核相互作用势。除了双折叠模型之外,还采用了四种分析公式来计算缺中子原子核的半衰期时间。将五种理论方法得出的结果与最新的实验数据进行了比较。DFM和通用衰变定律(UDL)的计算结果与实验数据十分吻合。我们分析了缺中子原子核α衰变的普遍曲线,说明了实验半衰期的十进制对数与穿透性的负十进制对数之间的相关性。我们研究了 78 ≤Z≤92 范围内不同中子缺乏同位素的 log10T 随子核 Nd 的中子数变化的情况。我们试图通过 log10T 与 Nd 的关系来预测每种同位素的中子能级。此外,我们还研究了中子壳闭合 N=126 附近更高的多极性变形(直至六极)对 α 衰变半衰期行为的影响,包括八极变形和不包括八极变形。
{"title":"Systematic study of α-decay in neutron-deficient nuclei","authors":"M. Ismail,&nbsp;A. Adel,&nbsp;A.Y. Ellithi,&nbsp;M.A. Abbas","doi":"10.1016/j.cjph.2024.10.029","DOIUrl":"10.1016/j.cjph.2024.10.029","url":null,"abstract":"<div><div>The <span><math><mi>α</mi></math></span>-decay half-lives of 266 neutron-deficient nuclei in the 52 <span><math><mrow><mo>≤</mo><mi>Z</mi><mo>≤</mo></mrow></math></span> 118 range are calculated within the density-dependent cluster model. The realistic Michigan three-range Yukawa-Paris nucleon–nucleon interaction is used to calculate the <span><math><mi>α</mi></math></span>-core interaction potential within the double-folding model (DFM) context. In addition to the double-folding model, four analytical formulas are employed to compute the half-life time for the neutron-deficient nuclei. The obtained results from the five theoretical approaches are compared to the most recent experimental data. The calculated results from the DFM and the universal decay law (UDL) were in good agreement with the experimental data. A universal curve for <span><math><mi>α</mi></math></span>-decay of neutron-deficient nuclei has been analyzed, illustrating the correlation between the decimal logarithm of the experimental half-lives and the negative decimal logarithm of penetrability. We studied the variation of <span><math><mrow><msub><mrow><mo>log</mo></mrow><mrow><mn>10</mn></mrow></msub><mi>T</mi></mrow></math></span> with the neutron number of the daughter nuclei, <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>d</mi></mrow></msub></math></span>, for different neutron-deficient isotopes in the range 78 <span><math><mrow><mo>≤</mo><mi>Z</mi><mo>≤</mo></mrow></math></span> 92. We attempt to predict the neutron energy levels for each isotope from the behavior of <span><math><mrow><msub><mrow><mo>log</mo></mrow><mrow><mn>10</mn></mrow></msub><mi>T</mi></mrow></math></span> against <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>d</mi></mrow></msub></math></span>. Moreover, the impact of higher-multipolarity deformations, up to hexacontratetrapole, on the behavior of <span><math><mi>α</mi></math></span>-decay half-lives around the neutron shell closure <span><math><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></math></span> is investigated, both with and without including octupole deformation.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 1097-1120"},"PeriodicalIF":4.6,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142657984","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
Synchronization in multiplex neural networks with homeostatic structural plasticity 具有同态结构可塑性的多路神经网络的同步性
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-29 DOI: 10.1016/j.cjph.2024.10.017
Xueyan Hu, Qianming Ding, Yong Wu, Ya Jia
The brain has a hierarchical structure with multiple connection types, which is best represented by a multiplex network structure, namely a network composed of two or more different layers. In order to further explore the synchronization phenomenon in biological neural networks, a bi-layer neural network with homeostatic structural plasticity coupled by electrical synapses is constructed in this paper. In addition, this study introduces the synchronization factor and basin stability to measure the network synchronization and quantify the stability of the synchronization state, respectively. The results show that increasing the intra-layer coupling strength, average degree and rewiring frequency can lead to a higher and more stable synchronization network. Moreover, increasing the inter-layer coupling strength and the number of inter-layer connections can improve the synchronization and stability in bi-layer networks. In particular, larger inter-layer coupling strength leads to the sub-network synchronization and stability much better than in the corresponding isolated network, and the higher the degree of synchronization of another sub-network can promote the synchronization and stability of the sub-network more. This study may provide useful guidance for the study of physiological functions related to brain synchronization.
大脑具有多连接类型的分层结构,最能体现这种结构的是多层网络结构,即由两个或多个不同层组成的网络。为了进一步探讨生物神经网络中的同步现象,本文构建了一个由电突触耦合的具有同态结构可塑性的双层神经网络。此外,本研究还引入了同步因子和盆地稳定性,分别用于衡量网络同步性和量化同步状态的稳定性。研究结果表明,增加层内耦合强度、平均度和重布线频率可以使同步网络更高更稳定。此外,增加层间耦合强度和层间连接数也能提高双层网络的同步性和稳定性。特别是,层间耦合强度越大,子网络的同步性和稳定性就会比相应的孤立网络好得多,而另一个子网络的同步程度越高,就越能促进该子网络的同步性和稳定性。这项研究可为大脑同步相关生理功能的研究提供有益的指导。
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引用次数: 0
(2+1)-dimensional Burgers equation with a Caputo fractional derivative: Lie symmetry analysis, optimal system, exact solutions and conservation laws (2+1)-dimensional Burgers equation with a Caputo fractional derivative:列对称分析、最优系统、精确解和守恒定律
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-29 DOI: 10.1016/j.cjph.2024.10.026
Yapeng Shi , Yuqiang Feng , Jicheng Yu , Jun Jiang
In this paper, the Lie group method is applied to analyze the (2+1)-dimensional Burgers equation with Caputo fractional derivative. The infinitesimal generators of the equation are investigated. Then, using the Lie point symmetry of the equation, a one-dimensional optimal system is constructed. Subsequently, within the framework of the optimal system, the equation is symmetrically simplified and the exact solutions of the original equation are determined using the invariant subspace method and the homogeneous balance method. In the process of simplifying the equation to a (1+1)-dimensional fractional differential equation, it is deliberately avoided to use complex Erdélyi-Kober fractional derivative operator. Instead, a simple transformation is utilized to obtain a low-dimensional fractional differential equation. Finally, based on the concept of nonlinear self-adjointness, the conservation laws of the fractional differential equation are obtained.
本文应用李群方法分析了带有卡普托分数导数的 (2+1)-dimensional Burgers 方程。研究了方程的无穷小生成器。然后,利用方程的列点对称性,构建了一个一维最优系统。随后,在最优系统的框架内,利用不变子空间法和均质平衡法对方程进行对称简化并确定原始方程的精确解。在将方程简化为 (1+1) 维分数微分方程的过程中,刻意避免使用复杂的 Erdélyi-Kober 分数导数算子。取而代之的是利用简单的变换得到低维分数微分方程。最后,基于非线性自相接的概念,得到了分数微分方程的守恒定律。
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引用次数: 0
Resolving FLRW cosmology through effective equation of state in f(T) gravity 通过 f(T) 引力中的有效状态方程解析 FLRW 宇宙学
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-29 DOI: 10.1016/j.cjph.2024.10.016
S.R. Bhoyar, Yash B. Ingole
This article explores the cosmological scenario of the universe in the context of the f(T) power law model, where T represents the torsion scalar. To obtain the deterministic solution of the field equations, we parameterized the effective equation-of-state (EoS) with two parameters m and k as suggested by A. Mukherjee in a flat FLRW environment. We impose constraints on the free parameters of the derived solution by utilizing MCMC analysis, assuming the CC,Pantheon+SH0ES, and CC+Pantheon+SH0ES as data samples. We explore the dynamics of cosmological parameters. The evolutionary profile of the deceleration parameter exhibits the transition to the accelerated phase. The effective EoS parameter indicates that the model remains in the quintessence era and gradually becomes the Einstein–de Sitter model. In addition, we explore the jerk, snap, and lerk parameters. Furthermore, the Om(z) diagnostic shows that the model has a consistent positive slope across the entire evolution, but soon resembles the standard ΛCDM model. Finally, we conclude that the power law model of the f(T) gravity in the framework of the FLRW universe aligns more closely with the ΛCDM model for given observational data.
本文在 f(T) 幂律模型(其中 T 代表扭转标量)的背景下探讨了宇宙学情景。为了得到场方程的确定性解,我们按照 A. Mukherjee 的建议,在平坦 FLRW 环境中用两个参数 m 和 k 对有效状态方程(EoS)进行了参数化。我们利用 MCMC 分析,假定 CC、Pantheon+SH0ES 和 CC+Pantheon+SH0ES 为数据样本,对导出解的自由参数施加约束。我们探索了宇宙学参数的动态变化。减速参数的演化曲线显示了向加速阶段的过渡。有效 EoS 参数表明该模型仍处于五元时代,并逐渐成为爱因斯坦-德-西特模型。此外,我们还探究了跃迁(jerk)、骤变(snap)和钝化(lerk)参数。此外,Om(z) 诊断显示,该模型在整个演化过程中具有一致的正斜率,但很快就类似于标准的ΛCDM 模型。最后,我们得出结论,在 FLRW 宇宙框架下,f(T) 引力的幂律模型与给定观测数据下的 ΛCDM 模型更为接近。
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引用次数: 0
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Chinese Journal of Physics
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