Physica A: Statistical Mechanics and its Applications

1975 - 2026

Current editor(s): K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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Volume 683, issue C, 2026

Limit shapes and large deviations in classical and quantum neural networks

Mohammad Reza Rahmati, Fernando Arce and Wilfrido Gómez-Flores

Improvement for vehicle following safety in mixed traffic flow: A cooperative guidance method for driving behavior decision-making

Hang Liu, Chaoyang Shi, Fei Liu, Jiafeng Xie, Zhonglang Yao and Zhiyun Zou

Large-N analysis of critical behavior and effective potential in an O(N) model with octic interaction in fractional dimension d = 8/3

S. Sakhi

Quantum coherence at the quantum phase transition in a random Heisenberg spin system with Dzyaloshinskii–Moriya interaction

Yu-Liang Xu, Pan-Pan Zhang, Li-Zhen Hu, Xiang-Mu Kong and Zhong-Qiang Liu

Quantum phase transition and spectral statistics in Bose–Hubbard model

Ziba Saleki, Amir Jalili, Yan-An Luo, Feng Pan and Ai-Xi Chen

Stochastic compression with and without permutations

Anton A. Kutsenko

Chaotic dynamics and Lyapunov analysis of the Benney–Luke equation for image encryption

Samina Samina and Samad Wali

Observer-free source detection in temporal networks with graph neural networks

Peichao Tang, Jianbo Wang, Xiao-Ke Xu, Feng Shi, Ping Li, Yuan Bai and Zhanwei Du

Optimizing influence spread in multilayer networks: A layer-weighted budget allocation and community-based local dominance approach

Jianxin Tang, Lijun Liu, Chenshuo Li, Xin Wang and Ping Wang

Impact of periodic thermal driving on heat fluctuations in a harmonic system

Felipe P. Abreu and Welles A.M. Morgado

Spiral wave analysis in bidirectional Hindmarsh–Rose neurons with nonlinear coupling and dynamical control through external magnetic induction

Sajal Debnath and Santimoy Kundu

Agent mobility and hotspot adaptability drive group aggregation

Sandro M. Reia, Dieter Pfoser and Paulo R.A. Campos

Supervised and unsupervised deep learning applied to the majority vote model

J.F. Silva Neto, D.S.M. Alencar, L.T. Brito, G.A. Alves, F.W.S. Lima, A. Macedo-Filho, R.S. Ferreira and T.F.A. Alves

Universality, criticality and complexity of flight delay propagation

Ying Wu, Jieyi Wu, Yuhan Zhang, Yisheng Cui, Qi Zhang and Longlong Sun

A opinion evolution model based on information diffusion: The fusion of silence spiral and high-order interaction

Yuekang Yao, Quan Liu and Meimei Jia

Bridging the divide: Economic exchange and segregation in dual-income cities

Diego Ortega and Elka Korutcheva

Boarding strategies of blended wing body passenger aircraft considering pedestrian overtaking behavior

Yuming Dong, Xiaolu Jia, Claudio Feliciani, Daichi Yanagisawa and Katsuhiro Nishinari

A study of inertial effects on the efficiency and transport coherence of a shifting Brownian Motor

Ronald Benjamin

Competing active and passive rectification mechanisms in a discrete ratchet model of run-and-tumble particles

Mesfin Asfaw Taye

Coupled dynamics of competitive information and epidemic propagation in multiplex networks via evolutionary game theory

Xifen Wu and Haibo Bao

Bipartite structure and dynamics of political corruption networks

Mônica V. Prates, Arthur A.B. Pessa, Sebastian Gonçalves, Matjaž Perc and Haroldo V. Ribeiro

A model for quantum game on networks

Xu Zhang and Guanrong Chen

Principles of equilibrium fluctuations

Jin-Song von Storch

Hybrid EFRG-DPIR approach to quantum criticality in the spin-1/2 transverse Ising model: Frustration effects on Tc and Ωc in 1D-3D lattices

Douglas F. de Albuquerque

Electric conductivity in open one-dimensional constriction

E.Kh. Alpomishev, G.G. Adamian and N.V. Antonenko

First-passage times in a pure-birth coalescence model with size-dependent rates

Santosh Kudtarkar

A general multi-order feature extractor for reservoir computing via simplicial complexes

Xinyu Han, Dongchi Wang, Feng Jiang and Michael Small

Yet another exponential Hopfield model

Linda Albanese, Andrea Alessandrelli, Adriano Barra and Peter Sollich

Calibrating a self-propelled particle model for area-based heterogeneous traffic using quadratic optimisation

Yawar Ali, K. Ramachandra Rao, Ashish Bhaskar and Niladri Chatterjee

Digitization can stall swarm transport: Commensurability locking in quantized-sensing chains

Caroline N. Cappetto, Penelope Messinger, Kaitlyn S. Yasumura, Miro Rothman, Tuan K. Do, Gao Wang, Liyu Liu, Robert H. Austin, Shengkai Li and Trung V. Phan

An analytical insight into the impact of disease-induced mortality on spatiotemporal patterns on directed networks

Siqi Duan, Lili Chang, Xing Li, Runzi He, Yihong Li, Xiangfeng Dai, Xiaofeng Luo, Gui-Quan Sun and Zhen Jin

A Zipf-preserving, long-range correlated surrogate for written language and other symbolic sequences

Marcelo A. Montemurro and Mirko Degli Esposti

Posterior collapse as a phase transition in variational autoencoders

Zhen Li, Fan Zhang, Zheng Zhang and Yu Chen

An information propagation model based on rumor-debunking and multi-dimensional influence

Rong Wang, Lingqi Deng, Wenbo Yuan, Yuke Xu, Beilei Wang and Yunpeng Xiao

Evacuation performance of pedestrian flow under limited visibility in straight corridor

Maoyu Li, Zhizuan Zhou, Dimeng Lai and Lizhong Yang

Emergent traffic flow patterns from different intelligent levels of autonomous vehicles in fog

Yongsheng Qian, Qingru Zhang, Junwei Zeng and Xu Wei

Estimation of energy-dependent parameter in the coupled continuous time random walk model

Xiaoyu Tang, Hong Zhang, Guohua Li, Xiangwen Huang, Ting Liu, Zeyu Tu and Xiaoxuan Wang

Analysis of heterogeneous traffic flow characteristics based on LSTM

Yanming Hao, Tianjun Feng, Guozhu Cheng, Jinfeng Li, Feiyan Li, Jiaojiao Liu and Heyao Gao

Volume 682, issue C, 2026

A community-based link prediction approach utilizing multiscale modularity and local patterns

Yang Jiao, Rizwan Muhammad, Yang Liu, Jianlong Qiu and Jinde Cao

Learning mechanism underlying NLP pre-training and fine-tuning

Yarden Tzach, Ronit D. Gross, Ella Koresh, Shalom Rosner, Or Shpringer, Tal Halevi and Ido Kanter

Competitiveness of competing complex systems

Meixuan Jade Li, Cheng Zhu, Xianqiang Zhu and Chi K. Tse

An integrated game-theoretic framework for lane changes of a single connected and autonomous vehicle in human-driven traffic

Junqiang Leng, Yuansheng Xie, Pengzhi Chen, Xiaoyan Huo, Hanchao Ma and Qinzhong Hou

Stochastic congestion pricing and urban spatial structure in a monocentric city: A risk-adjusted equilibrium model

Gökhan Güven

The beneficial role of noises for disentanglement tasks in modular Hebbian networks

Elena Agliari, Alberto Fachechi and Paulo Duarte Mourão

Non-equilibrium performance of a Dzyaloshinskii–Moriya -coupled two-spin quantum stirling engine under squeezed reservoirs

Zhengtong Zhu, Heshuai Zhang and Bowen Wei

Adaptive robust control for connected autonomous vehicle platoons under dynamic time-delay disturbances

Jun Liang, Yiran Gu, Lumin Wang, Wensa Wang, Chaofeng Pan and Long Chen

Thomson problem on a spherical cap

Paolo Amore

Optimal control of a kinetic model describing social interactions on a graph

Jonathan Franceschi and Nadia Loy

Link prediction for biomedical network reconstruction

Zhiwei Cao, Yuliang Pan, Chaobin Liu, Yichao Zhang, Jihong Guan, Shuigeng Zhou and Chongyang Ou

Modelling phase-separation: A physical mechanism to control genome folding and gene regulation

Andrea Fontana, Federico Corberi, Mario Salerno and Andrea M. Chiariello

Stochastic-resonance chimeras in coupled FHN neurons with α-stable Lévy noise

Zhanqing Wang, Wenjing Yang, Xiaoyu Zhang and Yong Xu

Optimal investment strategies for emotionally driven investors in the stock market

Yang Yang, Fuzhong Nian and Xinghao Liu

Transition from self-organized criticality towards self-organized bistability

Navid Aliakbarian and Saman Moghimi-Araghi

Redefining Multimodal Microscopic Traffic Modeling with Information‐Theoretic Influence Areas and Self‐Supervised Learning

Eleni G. Mantouka, Panagiotis Fafoutellis and Eleni I. Vlahogianni

Hybrid quantum convolutional neural network for multi-channel image classification

Cai Zhang, Lingzhou Zheng and Haozhen Situ

Kinetic Ising model on a two-dimensional additive small-world network under a time-dependent oscillating magnetic field

M.C. Oliveira, R.A. Dumer, D.R. da Costa and M. Godoy

Traffic strategy of signalized intersection integrating vehicle lane change and velocity trajectory optimization in mixed traffic environment

Shiquan Shen, Huafeng He, Zongdian Li, Huan Liu, Xi Liu, Zheng Chen and Yuguang Chen

TLQNN and TLQCNN: Enhanced classical–quantum transfer learning with amplitude encoding and multi-layer ansatz

Shouwei Hu, Xi Li, Banyao Ruan and Zhihao Liu

Cooperative lane change optimization with enhanced modeling of target-lane following vehicles

Yali Sun, Shumin Feng and Zilong Song

Numerical solution of the nonlinear boson diffusion equation for gluons

J. Rössler and G. Wolschin

Application of Langevin dynamics to advance the Quantum Natural Gradient optimization algorithm

Oleksandr Borysenko, Mykhailo Bratchenko, Ilya Lukin, Mykola Luhanko, Ihor Omelchenko, Andrii Sotnikov and Alessandro Lomi

Spin glass models and market volatility: A multiple threshold nonlinear autoregressive distributed lag approach

Irina Georgescu and Jani Kinnunen

The role of vaccination roll-out in the monitoring of Covid-19 pandemic spread: A country-level quantitative study

Arianna Agosto, Paola Cerchiello, Siegfried Eisenberg and Thomas Czypionka

Early warning of financial crises through critical field dynamics: A nonlocal trend-inhibition delay equation framework

Haoran Zhang

Uncovering multi-technology convergence patterns with hypergraphs: Evolution and prediction using patent data

Yiwei Huang, Shuqi Xu, Shimin Cai and Linyuan Lü

Thermodynamic laws and efficiency of quantum heat engines under strong coupling

Y.Y. Xu

An integrated model of crowd evacuation considering the coupling effects of temperature, density, and fall risk

Zhaoquan Zhu, Xinlei Zhang, Jiashuo Cao, Yuxiang Sun and Xianzhong Zhou

Early warning signals for regime shifts in gene transcription regulatory systems: Relaxation time within the perspective of stochastic resonance

Fang Cheng, Zhiqin Ma and Chunhua Zeng

Intermediate interaction strategies for collective behavior

Yuto Kikuchi, Honda Naoki and Mayuko Iwamoto

The impact of peer incentives that integrate node similarity on the evolution of cooperation in complex networks

Lili Ma, Zhao Su, Peng Lin, Kai Wang, Xingbo Pang, Lin Li and Lin Chen

Measuring interlayer dependence of large degrees in multilayer inhomogeneous random graphs

Zhuoye Han and Tiandong Wang

A node ranking method: Reducing structural indexes to avoid evaluation redundancy

Le Song and Yinghong Ma

Mechanism of low-frequency band gap formation in butterfly-shaped phononic crystals

Jinchao Wang, Hongyun Yang, Shijing Wu and Xiaosun Wang

Candidate voter dynamics

Christoph Börgers, Natasa Dragovic and Arkadz Kirshtein

Energy landscapes of spin glasses on the dice lattice

Anil K. Katwal and Katja Biswas

Stability-complexity phase transitions induced by nonlinear spatiotemporal noise

Zhaohang Cai, Jinqiang Zhang, Haowen Chen, Jiaqi Teng and Tianshou Zhou

Uncovering self-similar patterns in infectious disease transmission trees: Development of a Bayesian Connectivity Algorithm

Cheng-Hua Wang and Tzai-Hung Wen

Saddle-node bifurcation analysis and control based on a continuum model under the action of new energy vehicles

Wenhuan Ai, Yonghao Yang, Guoao Li and Xin Yang

Dynamic response of mixed-spin bilayer systems with graphene-like geometry to a time-dependent magnetic field

Mohammed Yezli and Mehmet Ertaş

Multiscale characteristics of Brownian force on ultrafine particles in gas

Yifei Li, Feiguo Chen, Sijia Lyu, Zongqiang Ma, Mengxi Liu, Pei Wang and Wei Ge

Vortex behavior in light-driven active particle systems

Weirong Zhong

Partial decidability protocol for the Wang tiling problem from statistical mechanics and chaotic mapping

Fabrizio Canfora and Marco Cedeño

Distribution functions in site percolation and magnetic frustration

W. Lebrecht D-P

Kappa distributions in the framework of superstatistics

Sergio Davis, Biswajit Bora, Cristian Pavez and Leopoldo Soto

Interaction-enhanced quantum metrology with maximal superposition of symmetric Dicke state

Yan Li and Zhihong Ren

Enhanced physics-informed neural networks for PDE-constrained optimal control: A synergistic approach with adversarial attack and scale adjustment

Tianxin Zhang, Dazhi Zhang, Yi Ran, Zhichang Guo and Shengzhu Shi

The simulation of diatomic molecule of spin-3/2 Blume–Capel model with full antiferromagnetic interactions: Exacts recursion relations approach

D.G. Hodonou, E. Albayrak, R. Houenou, R.A.A. Yessoufou, T.D. Oke and A. Kpadonou