{"title":"Melnikov analysis of multiple homoclinic orbits in the spring-coupled rotational inverted pendulum","authors":"Ran Sun , Jing Li , Shaotao Zhu , 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":"2026-02-01","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}
{"title":"Coherent generation and transfer of distant Bi- and tripartite entanglement in a hybrid atom-opto-magnomechanical system","authors":"Abdelkader Hidki , Amjad Sohail , Jamila Hmouch , Noureddine Benrass , Abderrahim Lakhfif , Mostafa Nassik","doi":"10.1016/j.cjph.2025.11.021","DOIUrl":"10.1016/j.cjph.2025.11.021","url":null,"abstract":"<div><div>We propose a theoretical framework for generating and transferring macroscopic bipartite and tripartite entanglement in a hybrid magnon-microwave-atom-optomechanical system. This hybrid configuration includes five coupled modes: an optical cavity, a microwave cavity, a magnon mode, a mechanical oscillator, and an ensemble of two-level atoms. Entanglement is initially generated between the optical and mechanical modes by radiation pressure and then transferred to the atom-cavities and magnon-microwave subsystems through state-swap interactions. These entangled subsystems, in turn, mediate indirect entanglement between distant modes such as the atom-phonon, phonon-microwave, phonon-magnon, atom-magnon, magnon-optical, optical-microwave pairs, as well as the atom-magnon-phonon tripartite subsystem. We show that by tuning system parameters (including detunings, coupling strengths, and dissipation rates), the strength and stability of the entanglement can be significantly improved, even in the presence of thermal noise. This work provides a promising platform for achieving robust and long-range entanglement in hybrid multi-mode systems, with potential applications in quantum information technology.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 50-62"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693079","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}
Feifei Yang , Kailong Zhu , Xinlin Song , Huiping Yin , Jiangxing Chen
{"title":"Electrical activity of a functional neuron under diverse external stimuli","authors":"Feifei Yang , Kailong Zhu , Xinlin Song , Huiping Yin , Jiangxing Chen","doi":"10.1016/j.cjph.2025.12.021","DOIUrl":"10.1016/j.cjph.2025.12.021","url":null,"abstract":"<div><div>Neurons are the basic functional units of the nervous system, and their electrical activities serve as the core carrier for information encoding and transmission. The response patterns of neurons to external stimuli determine the functions and plasticity of neural circuits, and they are also closely related to various neurological diseases. This study aims to systematically investigate the regulatory effects of different types and intensities of external stimuli on the electrical activities of a functional neuron. This study designs a functional neural circuit to capture the signals of external light and the effects of the magnetic field. And then a functional neuron model and corresponding energy function are obtained by applying Kirchhoff’s current law and Helmholtz’s theorem, respectively. Furthermore, the electrical activities of a functional neuron for different types and intensities of external stimuli (light signals and magnetic fields) are investigated by using the nonlinear dynamics analysis method. Moreover, we design an adaptive control method for exploring the self-regulation and self-repairing characteristics of a neuron. Numerical simulation confirmed that the different electrical activities of a functional neuron are activated under diverse external stimuli, and the coherent resonance and stochastic resonance phenomena can occur, respectively, under the noise light signals and noise magnetic fields. This work provides an important theoretical basis for a deeper understanding of the nervous system's response to external stimulus signals.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 293-304"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837440","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}
{"title":"Dynamics of heat transfer and electroosmotic flow in a periodic membrane-induced channel with rheological effects","authors":"Vinita Goyal, Kushal Sharma","doi":"10.1016/j.cjph.2025.12.013","DOIUrl":"10.1016/j.cjph.2025.12.013","url":null,"abstract":"<div><div>Theoretical analysis of thermo-controlled microfluidic devices provides valuable insights into the mechanism and enhancement of these systems across biomedical diagnostics and chemical applications. Electroosmosis is a fundamental phenomenon that enables the controlled flow of ionic solutions in response to an external electric field, thereby amplifying the pumping flow rate. This study presents an unsteady viscous flow of the Carreau fluid model, whose rheological properties are similar to those of blood in a microchannel, subjected to periodic membrane pumping along with heat transfer. This framework is based on the Navier-Stokes equations, the Poisson equation, along with the velocity slip condition and is further simplified using the lubrication theory and Debye-Hückel linearization. The perturbation series solution method is employed to solve the transformed, dimensionless governing equations together with the corresponding boundary conditions, and the results are presented graphically. The plotted results illustrate that the kinematics of membrane motion generate the transmural pressure, which is controlled by the velocity slip parameter and rheological properties of the fluid. The shear-driven flow leads to a reduction in axial velocity and transmural pressure. Furthermore, mid-channel isotherms are significantly influenced by variations in the Weissenberg and Brinkman numbers.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 481-503"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145920901","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}
Yu-Hsiang Fu , Bao-Huei Huang , Yu-Hui Tang , Chao-Cheng Kaun
{"title":"First-principles study of spin-orbit torques through Bloch states","authors":"Yu-Hsiang Fu , Bao-Huei Huang , Yu-Hui Tang , Chao-Cheng Kaun","doi":"10.1016/j.cjph.2025.11.014","DOIUrl":"10.1016/j.cjph.2025.11.014","url":null,"abstract":"<div><div>In this study, we combine first-principles calculations with theoretical derivations to highlight the crucial role of Bloch states in determining spin-orbit torque (SOT) in nanomaterials. The underlying mechanism is that the evanescent states and cross-terms with different phases can be neglected in an infinite system. Our approach enables the use of symmetry analysis to identify the relationship of key components in the equilibrium SOT. For instance, for nonmagnetic WSe<sub>2</sub>, WSSe monolayers, and the iron thin film, our symmetry analysis can be well adapted to examine the relationship of equilibrium SOT in (<em>k<sub>x</sub>, k<sub>y</sub></em>) space. Since magnetic moments break certain lattice symmetries in the iron thin film, the equilibrium SOT of magnetic iron thin film is larger than that of WSSe.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 1-11"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145651719","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}
{"title":"14N-accompanied ternary fission of 256Cf and 258Fm isotopes considering deformation of fragments","authors":"Mohsen Saeidi babi, Mohammad Reza Pahlavani","doi":"10.1016/j.cjph.2025.12.016","DOIUrl":"10.1016/j.cjph.2025.12.016","url":null,"abstract":"<div><div>This study investigates the <sup>14</sup>N-accompanied ternary fission of <sup>258</sup>Fm and <sup>256</sup>Cf isotopes within equatorial geometry, emphasizing the role of fragments deformation. For both isotopes, all fragment combinations with positive Q-values were analyzed using quadrupole (<em>β</em><sub>2</sub>) and hexadecapole (<em>β</em><sub>4</sub>) deformation parameters. The angular dependence of driving potentials and transmission coefficient was calculated across <span><math><mrow><mi>θ</mi><mo>=</mo><msup><mn>0</mn><mo>∘</mo></msup></mrow></math></span> to 180<sup>∘</sup>, with total penetration probabilities derived by integrating over angular configurations. Obtained results for deformed fragments were systematically compared with spherical counterparts to isolate deformation effects. Key results highlight the dominance of configurations involving magic or near-magic nuclei, where deformation significantly enhances penetration probabilities and reduces decay constants. Angular trends reveal suppressed probabilities, mitigated by deformation-induced barrier lowering. Comparisons of calculated results between <sup>256</sup>Cf and <sup>258</sup>Fm isotopes underscore the universal influence of shell closures and deformation, regardless of parent nucleus mass. These findings advance the understanding of ternary fission dynamics, emphasizing the synergy of nuclear structure, angular geometry, and deformation.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 213-224"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797820","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}
Shanjun Chen , Yifei Du , Ruijie Song , Yan Chen , Huafeng Zhang , Wei Dai , Weibin Zhang
{"title":"First-principles investigation on the physical and hydrogen storage properties of copper-based double perovskites A2CuH6 (A=Li, Na, K) for hydrogen storage applications","authors":"Shanjun Chen , Yifei Du , Ruijie Song , Yan Chen , Huafeng Zhang , Wei Dai , Weibin Zhang","doi":"10.1016/j.cjph.2025.11.036","DOIUrl":"10.1016/j.cjph.2025.11.036","url":null,"abstract":"<div><div>Based on density functional theory, the structure, mechanical, optoelectronic, kinetic, thermodynamic and hydrogen storage properties of cubic A<sub>2</sub>CuH<sub>6</sub> (A=Li, Na, K) double perovskites are studied. The lattice constants of Li<sub>2</sub>CuH<sub>6</sub>, Na<sub>2</sub>CuH<sub>6</sub>, and K<sub>2</sub>CuH<sub>6</sub> are 6.32, 7.07, and 7.98 Å, respectively. The B/G values indicate that Li<sub>2</sub>CuH<sub>6</sub> and K<sub>2</sub>CuH<sub>6</sub> exhibit ductility, while Na<sub>2</sub>CuH<sub>6</sub> exhibits brittleness. Electronic properties reveal that A<sub>2</sub>CuH<sub>6</sub> (A=Li, Na, K) compounds have metallic nature. The optical properties of A<sub>2</sub>CuH<sub>6</sub> show that Li<sub>2</sub>CuH<sub>6</sub> and K<sub>2</sub>CuH<sub>6</sub> crystals have high dielectric constants, which is beneficial for their applications as hydrogen storage. Importantly, A<sub>2</sub>CuH<sub>6</sub> (A=Li, Na, K) materials were confirmed for their structural, dynamic, thermodynamic, and mechanical stability. Gravimetric hydrogen densities (GHD) of Li<sub>2</sub>CuH<sub>6</sub>, Na<sub>2</sub>CuH<sub>6</sub>, and K<sub>2</sub>CuH<sub>6</sub> are 7.25, 5.23, and 4.09 wt%, respectively. The volumetric hydrogen storage capacities of Li<sub>2</sub>CuH<sub>6</sub>, Na<sub>2</sub>CuH<sub>6</sub>, and K<sub>2</sub>CuH<sub>6</sub> are 159.06, 113.77, and 79.11 g·H<sub>2</sub>/L, respectively. Therefore, Li<sub>2</sub>CuH<sub>6</sub> owns the highest gravimetric and volumetric hydrogen storage capacities among these compounds. This study provides a new option for designing novel copper-based hydrogen storage materials.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 37-49"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693084","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}
Aocheng Yang , Yunzhou Sun , Junhua Wang , Pengfei Wang , Nan Li
{"title":"Predicting bright and dark solitons in (2+1)-dimensional Bose-Einstein Condensates by two types of neural operator networks","authors":"Aocheng Yang , Yunzhou Sun , Junhua Wang , Pengfei Wang , Nan Li","doi":"10.1016/j.cjph.2025.11.016","DOIUrl":"10.1016/j.cjph.2025.11.016","url":null,"abstract":"<div><div>This study makes predictions regarding the soliton dynamics of the Gross-Pitaevskii equation in Bose-Einstein Condensates. Based on the exact solutions for the bright and dark one-soliton obtained by the Hirota bilinear method, numerical experimental calculations are performed using two neural operator networks, namely the deep operator network (DeepONet) and the fourier neural operator (FNO). The results show that both of these two methods can successfully predict the bright solitons and dark solitons of the system, and the obtained numerical solutions have high accuracy. The FNO method is superior to DeepONet in terms of prediction accuracy, while the latter has more advantages in terms of time economy. Both methods have perfectly solved the limitations of the traditional neural network methods, such as slow prediction speed and fixed grids. The excellent results of predicting the dynamics of complex ring dark solitons (RDSs) and semi-vortex solitons also demonstrate the broad applicability of the algorithm employed. This provides a new and promising approach for deep learning methods to address the challenges of accumulable systems.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 12-24"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693085","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}
Dong-Xuan Zhang , Jia-Heng Ni , Yu Zhang , Li Yu , Yi-Hao Kang , Qi-Ping Su , Chui-Ping Yang
{"title":"Implementation of a hybrid controlled-SUM gate with one superconducting qutrit simultaneously controlling multiple-target cat-state qutrits","authors":"Dong-Xuan Zhang , Jia-Heng Ni , Yu Zhang , Li Yu , Yi-Hao Kang , Qi-Ping Su , Chui-Ping Yang","doi":"10.1016/j.cjph.2025.11.035","DOIUrl":"10.1016/j.cjph.2025.11.035","url":null,"abstract":"<div><div>Compared to a qubit, a qutrit (a three-level or three-state quantum system) possesses a larger Hilbert space to process and store quantum information. On the other hand, large-scale qutrit-based hybrid quantum computing usually requires performing hybrid multi-qutrit quantum gates with diverse qutrits, different in their nature or in their encoding format. In this work, we consider two types of qutrits, i.e., superconducting (SC) qutrits and cat-state qutrits. We propose to implement a hybrid controlled-SUM gate with one SC qutrit simultaneously controlling multiple-target cat-state qutrits. The gate is implemented in a circuit-QED system, which is composed of an SC ququart and multiple microwave cavities. The SC ququart here refers to a four-level quantum system, with the three lowest levels forming a qutrit and an auxiliary higher energy level utilized for the coherent state manipulation. The gate implementation does not require applying a classical pulse. Because the auxiliary higher energy level of the SC ququart is only virtually excited during the gate operation, decoherence from this level is greatly suppressed. The gate is deterministic, as it requires no measurement of the cavity or SC ququart states. Moreover, the gate operational time is independent of the number of qutrits, thus it does not increase with the number of qutrits. As an application of this gate, we further discuss the generation of a hybrid maximally entangled state of one SC qutrit and multiple cat-state qutrits. We also numerically analyze the experimental feasibility of creating the hybrid entangled state of one SC qutrit and two cat-state qutrits in a circuit QED system. This proposal may be extended to accomplish the same task in other physical systems, such as a four-level artificial atom (e.g., a quantum dot, an NV center, a magnon, etc.) coupled to multiple optical or microwave cavities.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 266-282"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837438","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}
Zhiming Xu , Yanbin Ge , Yanqing Wang , Shengyong Xu , Di Mai , Zhuoqun Shen , Yifei Zhang , Jingxin Li , Jingjing Xu
{"title":"Biophysical exploration of the neural soft-matter waveguide propagation hypothesis","authors":"Zhiming Xu , Yanbin Ge , Yanqing Wang , Shengyong Xu , Di Mai , Zhuoqun Shen , Yifei Zhang , Jingxin Li , Jingjing Xu","doi":"10.1016/j.cjph.2025.11.017","DOIUrl":"10.1016/j.cjph.2025.11.017","url":null,"abstract":"<div><div>Neural electromagnetic signals are crucial for brain information transmission, with the neural soft-matter waveguide hypothesis being a new but important model for analyzing the generation and transmission of neural signals. An innovative verification method for the hypothesis is proposed in this study: a neural signal conduction model based on this hypothesis was developed to explore how neural structural factors influence the transmission efficiency and conduction velocity of neural signals. Simulation results show that the variation pattern of conduction velocity with these factors aligns closely with that observed in previously reported electrophysiological experiments. Furthermore, in an electrophysiological experiment, waveguide characteristics of neural soft matter were demonstrated by restoring the neural propagation behavior of damaged nerve fibers through repairing their waveguide structure with oil sealing. This research confirms the accuracy and applicability of the soft-matter waveguide model through both neuro-electrophysiological and simulation experiments, offering new insights into neural encoding and suggesting its potential applications in developing electromagnetic intervention strategies for neural systems.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"99 ","pages":"Pages 63-78"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749393","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}