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Unveiling gravity-induced quantumness by three-measurement uncertainty relations 通过三测量不确定关系揭示引力诱导量子
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-28 DOI: 10.1140/epjc/s10052-026-15339-2
Fei Ming, Zheng-Qiang Xu, Tao-Tao Lu, Li Dong, Bao-Long Fang, Xueyou Hu, Yang Yu, Hao Yang, Dong Wang

The effect of gravity is a key factor in understanding the physical phenomenon. Quantizing gravity is challenging task due to weak interactions of gravity in quantum world. The quantum nature of gravity can be witnessed by entanglement in an interferometric platform [Phys. Rev. D 105, 086024 (2022)]. A natural question arises concerning whether the quantization of gravity can be observed via other means. In this work, we propose an effective approach to witnessing the gravity-induced quantumness by quantum uncertainty relations, including entropy-based and coherence-based uncertainty relations. The theoretical frameworks for wave-particle, entropic uncertainty and coherence are established, which can prove the quantum nature of gravity. The three-measurement entropic uncertainty and coherence exhibit the oscillatory features for the gravity-induced phases in the interferometric scheme. It is found that the evolutionary dynamics of coherence is inversely correlated with the measured uncertainty. It can be interpreted that the reduction of systemic quantum resource leads to the increase of entropic uncertainty, and vice versa. When the entropic uncertainty reaches zero, systemic coherence is the maximum value, providing a viable physical explanation for the gravity-induced quantumness. It shows that the entropic uncertainty and coherence can be regarded as the reliable indicators for capturing the gravity-induced quantumness. Compared to entanglement-based gravity quantization scheme, it shows that the capabilities are equivalent for detecting the gravity-induced quantumness using entropy uncertainty, coherence, and entanglement. The results could lay a solid theoretical foundation for the potential applications of quantum gravity in quantum information science.

重力的影响是理解这种物理现象的一个关键因素。由于量子世界中引力的弱相互作用,引力量子化是一项具有挑战性的任务。引力的量子性质可以通过干涉测量平台上的纠缠来证明[物理学]。[j].中国生物医学工程学报,2016,28(5):391 - 391。关于引力的量子化是否可以通过其他方法来观察,自然会产生一个问题。在这项工作中,我们提出了一种通过量子不确定性关系(包括基于熵的不确定性关系和基于相干的不确定性关系)来观察引力诱导量子的有效方法。建立了波粒、熵不确定性和相干性的理论框架,证明了引力的量子性。在干涉方案中,三测量熵的不确定性和相干性表现出重力诱导相的振荡特征。研究发现,相干的演化动力学与测量的不确定度呈负相关。可以解释为系统量子资源的减少导致熵不确定性的增加,反之亦然。当熵不确定性为零时,系统相干性为最大值,为引力诱导量子提供了可行的物理解释。结果表明,熵的不确定性和相干性可以作为捕获引力诱导量子的可靠指标。与基于纠缠的引力量子化方案相比,表明利用熵不确定性、相干性和纠缠来探测引力诱导量子的能力是等效的。研究结果为量子引力在量子信息科学中的潜在应用奠定了坚实的理论基础。
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引用次数: 0
Parameter constraints on Horndeski rotating black hole through quasiperiodic oscillations 准周期振荡下Horndeski旋转黑洞的参数约束
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-27 DOI: 10.1140/epjc/s10052-025-15244-0
Meng-He Wu, Hong Guo, Xiao-Mei Kuang

In this paper, we perform small perturbations around the circular timelike orbit in the equatorial plane of the Horndeski rotating black hole, and analyze the effects of Horndeski hair on the three fundamental frequencies of the epicyclic oscillations. Since this operation can model the quasiperiodic oscillations (QPOs) phenomena of the surrounding accretion disc, we then employ the MCMC simulation to fit the theoretical results with three QPO events, including GRO J1655-40, XTE J1859+226 and H1743-322, and constrain the characteristic radius r, black hole mass M and spinning parameter a, and the Horndeski hair parameter h. Our constraint on the Horndeski hair parameter is much tighter than QPOs simulation from the existed accretion models, suggesting slight deviation from classical Kerr black hole.

本文对霍恩德斯基旋转黑洞赤道面的圆形类时轨道进行了小扰动,分析了霍恩德斯基毛对本轮振荡三个基本频率的影响。由于该操作可以模拟周围吸积盘的准周期振荡(QPOs)现象,因此我们利用MCMC模拟将理论结果与GRO J1655-40、XTE J1859+226和H1743-322三个QPO事件拟合,并约束特征半径r、黑洞质量M、旋转参数a和Horndeski hair参数h。我们对Horndeski hair参数的约束要比现有吸积模型的QPOs模拟严格得多。这表明与经典的克尔黑洞有轻微的偏差。
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引用次数: 0
Topological Mod(A)Max AdS black holes 拓扑模型(A)最大AdS黑洞
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-27 DOI: 10.1140/epjc/s10052-025-15269-5
B. Eslam Panah, B. Hamil, Manuel E. Rodrigues

In this work, we construct new classes of topological black hole solutions in anti-de Sitter (AdS) spacetime using a novel model of nonlinear electrodynamics called Modification Maxwell (ModMax) and Modification phantom or Modification anti-Maxwell (ModAMax). We then evaluate the thermodynamic quantities and verify the first law of thermodynamics. Our study examines how the parameters of the ModMax and ModAMax fields, as well as the topological constant, affect the black hole solutions, thermodynamic quantities, and local and global thermal stabilities. Furthermore, within the framework of extended phase space thermodynamics, we analyze the Joule–Thomson expansion process and determine the inversion curves. This analysis reveals that the ModMax and ModAMax parameters significantly alter the cooling and heating behavior of these AdS black holes, depending on their topology. Finally, by treating these topological Mod(A)Max AdS black holes as heat engines, we assess their efficiencies, demonstrating that the parameters of nonlinear electrodynamics and horizon topology play crucial roles in enhancing or suppressing the system’s thermodynamic performance.

在这项工作中,我们使用一种新的非线性电动力学模型,称为修正麦克斯韦(ModMax)和修正幻像或修正反麦克斯韦(ModAMax),在反德西特(AdS)时空中构建了新的拓扑黑洞解类。然后我们计算热力学量并验证热力学第一定律。我们的研究考察了ModMax和ModAMax场的参数以及拓扑常数如何影响黑洞解、热力学量以及局部和全局热稳定性。此外,在扩展相空间热力学的框架下,我们分析了焦耳-汤姆逊展开过程,并确定了反演曲线。这一分析表明,ModMax和ModAMax参数显著改变了这些AdS黑洞的冷却和加热行为,这取决于它们的拓扑结构。最后,通过将这些拓扑Mod(A)Max AdS黑洞视为热机,我们评估了它们的效率,证明了非线性电动力学参数和水平拓扑在增强或抑制系统热力学性能方面起着至关重要的作用。
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引用次数: 0
Non-Newtonian rheological aspects of blood in computational hemodynamics 计算血流动力学中血液的非牛顿流变学方面
IF 29.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-27 DOI: 10.1016/j.physrep.2026.01.003
Salman Ahmad , Salman Zeb , Yifan Sun , Hengjie Guo , Yonghui Qiao
In medicine, invasive procedures involve cutting or penetrating the skin to access the inside of the body, whereas non-invasive procedures do not. Non-invasive diagnostic and treatment methods offer several advantages, including reduced discomfort and fewer potential complications compared to invasive approaches. Computational hemodynamics has emerged as a valuable approach for diagnosing and treating diseases of the human circulatory system, particularly in guiding optimal treatment options. This interdisciplinary field combines computational modeling, fluid dynamics, and medical imaging to explore blood flow behavior under various physiological conditions and in the context of diseases. Blood viscosity is recognized to exhibit non-Newtonian rheological properties, meaning it can change with shear rate. Empirical research has revealed that blood displays intricate non-Newtonian fluid characteristics (i.e., shear-thinning, viscoelasticity, yield stress, and thixotropy). Consequently, various computational and clinical analyses use various non-Newtonian fluid models to model blood. However, researchers have not reached a consensus on a single non-Newtonian fluid model that adequately describes the non-Newtonian characteristics of blood. This study aims to provide a comprehensive review of all non-Newtonian fluid models along with the Newtonian model utilized in computational hemodynamics, highlighting the importance of understanding the complex rheological nature of blood and its impact on the dynamics of the circulatory system. In addition, this review examines various mathematical modeling approaches for the flow of blood in the circulatory system under different constraints, along with their solution methods, to suggest and optimize computational hemodynamics.
在医学上,侵入性手术涉及切割或穿透皮肤以进入身体内部,而非侵入性手术则不需要。与侵入性方法相比,非侵入性诊断和治疗方法有几个优点,包括减少不适和减少潜在并发症。计算血流动力学已成为诊断和治疗人体循环系统疾病的一种有价值的方法,特别是在指导最佳治疗方案方面。这个跨学科领域结合了计算建模、流体动力学和医学成像来探索各种生理条件下和疾病背景下的血流行为。血液粘度被认为具有非牛顿流变性能,这意味着它可以随剪切速率变化。实证研究表明,血液具有复杂的非牛顿流体特性(即剪切变薄、粘弹性、屈服应力和触变性)。因此,各种计算和临床分析使用各种非牛顿流体模型来模拟血液。然而,研究人员尚未就单一的非牛顿流体模型达成共识,该模型不能充分描述血液的非牛顿特性。本研究旨在全面回顾所有非牛顿流体模型以及计算血流动力学中使用的牛顿模型,强调理解血液的复杂流变特性及其对循环系统动力学的影响的重要性。此外,本文考察了不同约束条件下循环系统中血液流动的各种数学建模方法,以及它们的求解方法,以建议和优化计算血流动力学。
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引用次数: 0
Comparative study on the structural and optical properties of MgAl2O4: Pr3+ and BaAl2O4: Pr3+ nanophosphors MgAl2O4: Pr3+和BaAl2O4: Pr3+纳米荧光粉结构和光学性能的比较研究
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-27 DOI: 10.1140/epjb/s10051-026-01126-1
V. T. Jisha, R. Meenakshi, K. Jayasree

Praseodymium (Pr3+) doped magnesium aluminate (MgAl2O4) and barium aluminate (BaAl2O4) nanophosphors were synthesised via the sol–gel method. XRD confirmed the formation of single-phase aluminate structures with average crystallite sizes of 18 nm and 15 nm for MgAl2O4: Pr3+ and BaAl2O4: Pr3+, respectively. MgAl2O4: Pr3+ shows irregular, densely packed grains with rough surfaces, while BaAl2O4: Pr3+ consists of smaller, nearly spherical particles with uniform distribution and minimal agglomeration. Absorption studies for both samples exhibited broad bands in the 600–700 nm range, indicating strong coupling with the host lattices. PL spectra demonstrated host-dependent emission characteristics. MgAl2O4: Pr3+ showed intense red emissions with peaks at 650 nm (3P0 → 3F2) and 710 nm (3P0 → 3F3) emissions, while BaAl2O4: Pr3+ exhibited prominent blue emission at 490 nm (3P0 → 3H4) along with weaker green-yellow emissions in the 530–580 nm. These unique emission properties highlight MgAl2O4: Pr3+ as a promising red-emitting phosphor, while BaAl2O4: Pr3+ can be used for blue-emitting applications in solid-state lighting and optoelectronic devices.

Graphical abstract

采用溶胶-凝胶法制备了掺杂镨(Pr3+)的铝酸镁(MgAl2O4)和铝酸钡(BaAl2O4)纳米荧光粉。XRD证实MgAl2O4: Pr3+和BaAl2O4: Pr3+形成了平均晶粒尺寸分别为18 nm和15 nm的单相铝酸盐结构。MgAl2O4: Pr3+颗粒不规则,排列密集,表面粗糙,而BaAl2O4: Pr3+颗粒较小,接近球形,分布均匀,团聚最小。两种样品的吸收研究都显示出600-700 nm范围内的宽带,表明与宿主晶格的强耦合。PL光谱表现出与宿主相关的发射特性。MgAl2O4: Pr3+在650 nm (3P0→3F2)和710 nm (3P0→3F3)处表现出强烈的红色发射,而BaAl2O4: Pr3+在490 nm (3P0→3H4)处表现出明显的蓝色发射,在530 ~ 580 nm处表现出较弱的绿黄色发射。这些独特的发射特性突出了MgAl2O4: Pr3+作为一种有前途的红色发光荧光粉,而BaAl2O4: Pr3+可用于固态照明和光电子器件中的蓝色发光应用。图形抽象
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引用次数: 0
Nonlinear vibro-impact dynamics induced by clearance and friction in a belt-driven oscillator 带驱动振荡器中由间隙和摩擦引起的非线性振动冲击动力学
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-27 DOI: 10.1140/epjp/s13360-025-07205-z
Yuqing Shi, Longfei He, Hailin Wang, Zhilong Wang, Guanwei Luo

A single-degree-of-freedom periodically forced oscillator with coupled clearance and friction nonlinearities is investigated. By analyzing the phase-space conditions governing free sliding, impact, and stick motion, and employing associated Poincaré maps, the dynamics of stick–slip periodic motions are systematically characterized. Particular emphasis is placed on the distribution and transition of periodic motions in the two-parameter space. The occurrence of bursting oscillations in the low-frequency region is revealed and the influence of key structural parameters on stick–slip behavior is examined. The results indicate that stick–slip motion predominantly occurs in regions characterized by low-frequency and small-clearance. Under the induction of grazing bifurcations, the transition toward stick motion is marked by an increase in the number of impacts, a decrease in impact velocity, and a contraction of the frequency band. The transitions between adjacent periodic motions are primarily governed by the synergistic effects of grazing, saddle-node, and sliding bifurcations. Owing to the irreversibility of the transition paths, multi-stability regions emerge, including co-existing states induced by grazing-(saddle-node), grazing-sliding, and doubling-sliding bifurcations. Furthermore, the increase in damping ζ suppresses multi-impact motions, resulting in improved system smoothness and stability along with reduced structural wear; however, it concurrently induces a rise in energy consumption.

研究了具有间隙非线性和摩擦非线性耦合的单自由度周期性受迫振荡器。通过分析控制自由滑动、冲击和粘滞运动的相空间条件,并采用相关的庞加莱图,系统地表征了粘滞滑动周期运动的动力学特性。特别强调了周期运动在双参数空间中的分布和跃迁。揭示了低频区爆破振荡的发生,并分析了关键结构参数对粘滑性能的影响。结果表明,粘滑运动主要发生在低频和小间隙区域。在放牧分岔的诱导下,向棍击运动的过渡表现为撞击次数的增加、撞击速度的降低和频带的收缩。相邻周期运动之间的过渡主要由放牧、鞍节点和滑动分岔的协同效应控制。由于过渡路径的不可逆性,出现了多稳定区域,包括放牧-(鞍-节点)分岔、放牧-滑动和双滑动分岔引起的共存状态。此外,阻尼ζ的增加抑制了多重冲击运动,从而提高了系统的平稳性和稳定性,同时减少了结构磨损;然而,它同时引起了能源消耗的增加。
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引用次数: 0
Multidimensional modulational instability and associated multi-rogue waves in anisotropic magnetized superthermal plasmas 各向异性磁化超热等离子体的多维调制不稳定性和相关的多异常波
IF 1.5 4区 物理与天体物理 Q3 OPTICS Pub Date : 2026-01-27 DOI: 10.1140/epjd/s10053-025-01108-5
Samir A. El-Tantawy, Fazal Wahed,  Ata-ur-Rahman, J. Derbali, Hanan Al-Ghamdi, Aljawhara H. Almuqrin

In this study, we examine three-dimensional (3D) modulated ion-acoustic waves (IAWs) and associated multi-rogue waves in a magnetoplasma consisting of kappa-distributed electrons and hot, anisotropic positive ions. By employing a reductive perturbation technique (the derivative expansion method), the fundamental fluid equations are reduced to the three-dimensional nonlinear Schrödinger equation (3D-NLSE) to investigate the 3D modulational instability (3D-MI) and associated modulated IAWs. For the plasma parameters of interest, such as the anisotropic parallel ion pressure, magnetic field (ion gyrofrequency), and the spectral index of the kappa distribution, the stable and unstable regions of modulated envelope structures are precisely identified. The criteria for the 3D-MI based on the 3D-NLSE are determined and numerically examined. Furthermore, the analytical and numerical solutions for first-order and second-order ion-acoustic rogue waves (IARWs) are investigated. The effects of relevant plasma parameters on the IARW profile are also examined. The implications of our findings for specific environments, such as Earth’s magnetosheath and magnetosphere, are also discussed.

Multidimentional MI and RWs in superthermal anisotropic plasma

在这项研究中,我们研究了由kappa分布的电子和热的各向异性正离子组成的磁等离子体中的三维(3D)调制离子声波(iaw)和相关的多异常波。采用约化微扰技术(导数展开法),将基本流体方程简化为三维非线性Schrödinger方程(3D- nlse),研究三维调制不稳定性(3D- mi)及其相关的调制定律。对于感兴趣的等离子体参数,如各向异性平行离子压力、磁场(离子陀螺频率)和kappa分布的谱指数,精确地识别出调制包络结构的稳定和不稳定区域。确定了基于3D-NLSE的3D-MI标准并进行了数值检验。进一步研究了一阶和二阶离子声异常波的解析解和数值解。研究了相关等离子体参数对IARW分布的影响。我们的发现对特定环境的影响,如地球的磁鞘和磁层,也进行了讨论。超热各向异性等离子体中的多维MI和RWs
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引用次数: 0
Batalin–Fradkin–Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Hořava type generating functions 用编码Hořava类型生成函数的非对角线解的爱因斯坦引力的Batalin-Fradkin-Vilkovisky量子化
IF 4.8 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-27 DOI: 10.1140/epjc/s10052-026-15297-9
Elşen Veli Veliev, Sergiu I. Vacaru

We develop and apply the Batalin–Fradkin–Vilkovisky (BFV) formalism for the covariant quantization of generic off-diagonal solutions of the Einstein equations in general relativity (GR). In the classical regime, such nonholonomic configurations are formulated entirely within GR and are characterized by nonlinear symmetries of generating functions, running cosmological constants, integration functions, and effective matter sources. These constructions are further extended to quantum gravity (QG) models involving effective local Lorentz symmetry violations and anisotropic scaling, as realized in Hořva–Lifshitz (HL)-type theories. The classical geometric framework is formulated on Lorentz manifolds endowed with nonholonomic 2+2 and 3+1 splitting structures and subsequently generalized to quantum configurations determined by HL-type generating functions. The 2+2 dyadic splitting, incorporating connection distortions, provides a systematic method for constructing exact and parametric classical and quantum solutions described by generating functions and effective sources depending on all spacetime coordinates, physical constants, and anisotropic scaling or deformation parameters. The complementary 3+1 splitting allows for a consistent implementation of the BFV quantization procedure. We demonstrate the renormalizability of off-diagonal quantum HL-type deformations of GR. The resulting classical and quantum nonholonomic BFV models represent viable candidates for asymptotically free theories of gravity and may provide a mechanism for resolving unitarity issues in QG. In appropriate classical limits, the framework reproduces physically relevant off-diagonal GR solutions with or without locally anisotropic scaling, offering potential applications to nonlinear classical and quantum phenomena in accelerating cosmology and dark energy and dark matter physics.

我们发展并应用了广义相对论中爱因斯坦方程一般非对角解的协变量子化的Batalin-Fradkin-Vilkovisky (BFV)形式。在经典状态下,这种非完整配置完全在GR内表述,并具有生成函数、运行宇宙学常数、积分函数和有效物质源的非线性对称性。这些结构进一步扩展到量子引力(QG)模型,涉及有效的局部洛伦兹对称违反和各向异性缩放,如Hořva-Lifshitz (HL)型理论所实现的那样。在具有非完整2+2和3+1分裂结构的洛伦兹流形上建立了经典几何框架,并将其推广到由hl型生成函数决定的量子构型。结合连接畸变的2+2并矢分裂提供了一种系统的方法来构造精确的和参数化的经典和量子解,这些解是由依赖于所有时空坐标、物理常数和各向异性缩放或变形参数的生成函数和有效源描述的。互补的3+1分裂允许BFV量化过程的一致实现。我们证明了GR的非对角量子hl型变形的重整性。由此得到的经典和量子非完整BFV模型为渐近自由引力理论提供了可行的候选模型,并可能为解决QG中的一致性问题提供一种机制。在适当的经典限制下,该框架在有或没有局部各向异性缩放的情况下再现了物理上相关的非对角线GR解,为加速宇宙学、暗能量和暗物质物理中的非线性经典和量子现象提供了潜在的应用。
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引用次数: 0
Optimization of cadmium-precursors in hydrothermal synthesis of CdO for electrochemical energy Storage 水热合成电化学储能CdO的镉前驱体优化研究
IF 2.8 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-01-27 DOI: 10.1007/s00339-026-09317-4
Prathamesh B. Dahivade, Swapnil N. Pawar, Mahadev T. Mhetre, Balkrishna J. Lokhande

The selection of precursor materials is of foremost importance in enhancing the electrochemical performance of electrode materials utilized in supercapacitors. This investigation carefully assesses the influence of various salts derived from cadmium, namely cadmium nitrate (Cd (NO₃) ₂), cadmium acetate (Cd (CH₃COO) ₂), and cadmium sulfate (CdSO₄), on the structural, morphological, and electrochemical characteristics of cadmium electrodes. The results highlight how differences in precursor materials can lead to significant variations in surface area and overall energy storage capability, thereby impacting the efficiency of the supercapacitor. A comprehensive understanding of the correlation between precursor selection and material performance is vital for propelling the advancement of supercapacitor technology, as it facilitates the design of electrodes with customized properties to meet specific application requirements. The salts function as initial agents for producing cadmium-centric nanostructures via a one-step hydrothermal method, following which they find application in supercapacitor electrode fabrication. The materials produced are analyzed through techniques such as X-ray diffraction, Field Emission Scanning Electron Microscopy, Cyclic Voltammetry, Chronopotentiometry, and Electrochemical Impedance Spectroscopy to evaluate their crystallinity, surface structure, and capacitive behavior. Electrochemical studies reveal that the choice of precursor significantly influences ion diffusion, charge storage capacity, and overall energy density. Among the tested precursors, Cadmium Nitrate salt demonstrates superior electrochemical properties, exhibiting a high specific capacitance, i.e.,.275.69 F/g, excellent rate capability. This work provides valuable insights into the optimization of precursor selection for enhanced energy storage performance in Cadmium-based Supercapacitors.

前驱体材料的选择对提高超级电容器电极材料的电化学性能至关重要。该研究仔细评估了镉衍生的各种盐,即硝酸镉(Cd (NO₃)2)、醋酸镉(Cd (CH₃COO) 2)和硫酸镉(CdSO₄)对镉电极的结构、形态和电化学特性的影响。结果强调了前驱体材料的差异如何导致表面积和整体能量存储能力的显着变化,从而影响超级电容器的效率。全面了解前驱体选择与材料性能之间的相关性对于推动超级电容器技术的进步至关重要,因为它有助于设计具有定制属性的电极以满足特定的应用要求。这些盐作为初始剂通过一步水热法生产镉中心纳米结构,随后它们在超级电容器电极制造中得到应用。通过x射线衍射、场发射扫描电子显微镜、循环伏安法、计时电位测定法和电化学阻抗谱等技术对所生产的材料进行分析,以评估其结晶度、表面结构和电容行为。电化学研究表明,前驱体的选择显著影响离子扩散、电荷存储容量和总能量密度。在所测试的前驱体中,硝酸镉盐表现出优异的电化学性能,具有较高的比电容,为0.275.69 F/g,具有优异的倍率能力。这项工作为优化镉基超级电容器的前驱体选择以增强储能性能提供了有价值的见解。
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引用次数: 0
Effect of electromagnetic induction on the nonlinear excitation in the FitzHugh-Nagumo cardiac model through the cubic-quintic complex Ginzburg-Landau equation 电磁感应对FitzHugh-Nagumo心脏模型非线性激励的影响(通过三次五次复Ginzburg-Landau方程)
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-27 DOI: 10.1140/epjp/s13360-025-07159-2
Blaise Dzou Tabi, Didier Belobo Belobo, Conrad Bertrand Tabi, Timoléon Crépin Kofané

Electromagnetic induction is crucial for understanding the heart’s electrical and chemical dynamics and detecting functional abnormalities. In this study, we examine a modified FitzHugh-Nagumo (FHN) model incorporating standard diffusion and a feedback gain parameter. Through multiple-scale expansion, we derive a cubic-quintic complex Ginzburg-Landau (CQCGL) equation governing action potential dynamics, and we construct traveling wave solutions using a modified Hirota bilinear method (HBM). The feedback gain markedly affects action potentials: (i) On the left side, it reduces amplitude, period, and depolarization/repolarization duration before the transition region. (ii) On the right side, it produces a quasi-periodic structure at (k_{0}=,0.64), favoring rhythm stabilization. Modulational instability (MI) analysis shows that values of (k_{0}) below or above 0.64 destabilize the system. Numerical simulations closely match the analytical results, confirming the model’s validity. Biologically, these findings highlight electromagnetic induction as a key modulator of cardiac function, influencing action potentials through ion-channel regulation and gap junction coupling, and shaping arrhythmia dynamics.

Graphical abstract

电磁感应对于了解心脏的电和化学动力学以及检测功能异常至关重要。在本研究中,我们研究了一个包含标准扩散和反馈增益参数的修正FitzHugh-Nagumo (FHN)模型。通过多尺度展开,导出了控制动作势动力学的三次五次复Ginzburg-Landau (CQCGL)方程,并利用改进的Hirota双线性方法(HBM)构造了行波解。反馈增益显著影响动作电位:(1)在左侧,它减少了过渡区域前的振幅、周期和去极化/复极化持续时间。(ii)在右侧,它在(k_{0}=,0.64)处产生一个准周期结构,有利于节奏稳定。调制不稳定性(MI)分析表明,(k_{0})值低于或高于0.64会使系统不稳定。数值模拟结果与分析结果吻合较好,验证了模型的有效性。在生物学上,这些发现强调了电磁感应作为心功能的关键调节剂,通过离子通道调节和间隙连接耦合影响动作电位,并形成心律失常动力学。图形摘要
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