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 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

Volume 681, issue C, 2026

Research on passenger flow and network coordination of urban rail transit based on the theory of allometric growth

Zhang Zehua, Wei Ruining, Feng Shumin, Yang Fan and Jiang Yiqiang

Congestion mitigation method for scenic area roads based on bidirectional pedestrian flow optimization and control

Yuanyuan Zhang, Liang Li, Yanbin Han, Sijie Niu, Zihao Dong and Qingtao Hou

Modeling metaorder impact with a Non-Markovian Zero Intelligence model

Adele Ravagnani and Fabrizio Lillo

A unified framework for divergences, free energies, and Fokker–Planck equations

Anna L.F. Lucchi, Jean H.Y. Passos, Max Jauregui and Renio S. Mendes

Analysis of mobility discrepancies within urban agglomerations using an extended PageRank algorithm in time-varying multimodal networks

Zhiwei Zhang, Hiroe Ando, Yige Wang, Tianlei Zhu and Xin Yang

Reputation-based strategy persistence and environmental feedback promote cooperation in spatial snowdrift games

Jinxiu Pi, Chun Wang, Jin Cai and Wei Tang

From equality to diversity: A bottom-up approach for hierarchy growth

Agnieszka Czaplicka and Janusz A. Hołyst

Bao game analysis via visibility graphs: A complex network approach to cultural gameplay dynamics

Sherehe Joseph Semba

Optimal driver nodes in scale-free networks based on the spectral properties of the B matrix-sum of the Laplacian and the control matrices

Fatemeh Ghoreishian Amiri, Fahimeh Nazarimehr, Sajad Jafari and Farzad Towhidkhah

Sampling effects on recurrence microstates distribution

Felipe Eduardo Lopes da Cruz, Gilberto Corso, Thiago de Lima Prado, Sergio Roberto Lopes, Norbert Marwan and Jürgen Kurths

Prediction of hazardous transmission lines after power grid cascading failures using the node and edge attributed graph edge-attention residual network

Miao Chen and Yanli Zou

How the hesitation mechanism suppresses misinformation spreading on time-varying networks

Yong-wang Gong and Michael Small

Interpretable knowledge tracing via fine-grained multi-feature attribution

Hang Liang, Yi-Fei Wen, Yajun Du, Xiaoliang Chen, Tao Zhou and Yan-Li Lee

A mobility-aware and patch-based transformer for predicting spatiotemporal transmission patterns of epidemics

Zheng Zhou, Peipei Wang, Heng Su, Dongya Liu and Xinqi Zheng

CoRMF: Criticality-ordered recurrent mean field Ising solver

Zhenyu Pan, Zhuo Liu and En-Jui Kuo

Collision-avoiding flocking of fixed-wing UAV swarm using dynamic interaction mechanism inspired by pigeons

Xiangyin Zhang and Lin Xie

Larger holes as narrower degree distributions in complex networks

Kiri Kawato and Yukio Hayashi

Complex dynamics of a symmetric quantum Stackelberg duopoly game model with heterogeneous expectations

Huaigu Tian, Zhen Wang, Peijun Zhang, Jianhui Li, Qiao Wang and Shaohua Zhang

RBF neural network-based adaptive control for Aw–Rascle–Zhang mixed traffic flow model with unknown external disturbances

Jiaqi Zhong, Mengting Zhang and Jiajia Tan

Chaos on a lattice: A systematic investigation of coupled map lattice dynamical systems using statistical metrics

Kevin Nolan, Mark McCartney, David H. Glass and Samuel Moore

Synchronization of reservoir computers via transmitting invisible signals

Guangwen Xiong, Xiaohua Cai, Tongfeng Weng and Lei Zhou

Blind identification of collective motion criticality using sequence model predictive entropy variance

Tianyi Wu and Zhangang Han

Mitigating social dilemmas in public transport choice through autonomous vehicles on a homogeneous road link

Nikita V. Bykov and Maxim A. Kostrov

Impact analysis of driving stochasticity on heterogeneous traffic flow stability

Zhishun Zhang, Ting Xu, Said M. Easa, Shouwei Hui and Xinhe Lai

Mapping information flows among digital assets: An entropy and network-based study of cryptocurrencies, DeFi, and NFTs

Thai Hong Le, Dat Thanh Pham, Khanh Ngoc Le, Anh Chi Le and Huong Mai Thi Nguyen

Machine-learning-assisted pulse design for state preparation in a noisy environment

Zhao-Wei Wang, Hong-Yang Ma, Yun-An Yan, Lian-Ao Wu and Zhao-Ming Wang

Kladder-NMF: Boosting NMF-based community detection with bidirectional KL-divergence reconstruction and inter-layer consistency

Yi Sun, Xiangan Wang, Limengzi Yuan, Ronghua Zhang, Junhao Zhao, Haoran Xu, Xiaoming Li, Guangquan Xu, Hongrui Zhang, Xuqing Wang and Changzheng Liu

Hybrid ensemble machine learning models

Paolo Giudici, Francesca Mariani and Gloria Polinesi

Free energy of neural network can predict accuracy after pruning

Anton Surkov, Sergei Koltcov, Vera Ignatenko, Rayeesa Mehmood and Ksenia Kupitman

Modeling of driving risk fields considering vehicle-lane interactions and its application in car-following model

Zhenqiang Ma, Hongjuan Zhang, Chengzhi Hong, Si Xu, Disheng Zhang, Jian Zhou, Zhijun Chen and Bijun Li

Stability analysis of mixed-traffic platoons considering driver heterogeneity and the communication scale of connected vehicles

Xinheng Fan, Junwei Zeng, Yongsheng Qian, Futao Zhang, Xu Wei and Daohao Wang

Mean–variance optimization in volatile markets: Uncertainty vs. randomness

Xiaoxia Huang, Xue Meng, Yutong Sun and Roman Matousek

Games and flocks: Switching strategies applied to the Couzin model

Junhe Qiao, Shannon Dee Algar and Thomas Stemler

Thermodynamic optimization equalities in weakly driven processes

Pierre Nazé

Modeling the impact of sand encroachment on driving safety in freeway curves: An improved safety field theory approach

Junjie Zhang, Yongfeng Ma, Kai Kang, Yaqian Xing, Fan Wang, Shuyan Chen and Fang Wang

Statistical analysis of linear oscillators with fractional derivative damping subjected to stationary and nonstationary stochastic excitations

Wenkai Sun and Xianren Kong

Persistent quantum annealed criticality and enhanced entropy accumulation in the quantum Ising model on the frustrated square lattice bilayer

M. Roos, C.V. Morais, F.M. Zimmer and M. Schmidt

A neural network-driven dynamical system model for cryptocurrency price prediction

S. Pourmohammad Azizi, Mohammadreza Vahedpour, Chien-Yi Huang, Amirhossein Nafei and Yaser Kord

Nonlinear dynamics of epidemic spreading with awareness-regulated resource allocation in simplicial complexes

Ruijie Wang, Xiaolong Chen, Jun Wang, Rui Chen, Aimin Li and Shimin Cai

A generalized motif-based Naïve Bayes model for sign prediction in complex networks

Yijun Ran, Si-Yuan Liu, Junjie Huang, Tao Jia and Xiao-Ke Xu

Modelling volatility and return based on a two-stage Log-BiACARR framework and intraday information: Evidence from Guangdong and Hubei carbon emissions trading markets

Junlin He, Kok-Haur Ng, Shelton Peiris and David Allen

Tiny language models

Ronit D. Gross, Yarden Tzach, Tal Halevi, Ella Koresh and Ido Kanter

Empirical study on spatial characteristics of dyads in a unidirectional corridor

Jiayue Wang, Wenguo Weng, Yixing Zhu, Yunhe Tong, Liangchang Shen and Liping Kou

Exploring crypto-stock risk contagion via directed complex network analytics

Lu Qiu, Yueyi Huang and Gege Dong

Experimental study of crowd evacuation dynamics considering the effects of different obstacles

Yanting Han, Zhanli Mao, Xin Su, Xin Chen, Liwei Zhang, Xurong Ma, Haobing Tian, Xiaoxiao Fan and Yongnan Guo

Random walks and consensus problem on tree network with an identical degree distribution

Xiaohui Zhang, Xudong Luo and Fei Ma

A physics-informed piecewise continuity network for solving the non-linear jerk equation: PiPC-Net

Nadim Ahmed, Md. Awlad Hossain, Md. Ashraful Babu, Md. Fayz-Al-Asad and Md. Mortuza Ahmmed

Cascading shocks on heterogeneous enterprise production network

Li Luo and Fuzhong Nian

Mitigating cascading failures in urban rail transit networks through passenger flow guidance

Kun Jin, Wei Wang, De Zhao and Xuedong Hua

A comprehensive lane selection decision model in connected mixed traffic environment: Incorporating risk-coupled impact potential

Xin Wang, Wencai Sun, Shiwu Li, Minghao Fu, Xinze Liu, Huihui Ma and Xinyue Wang

A deep reinforcement learning approach integrating LSTM-GAT spatiotemporal fusion for autonomous driving decision-making

Mingheng Zhang, Daobin He, Longhui Gang and Chunqi Wang

Exploring to predict the tipping points in traffic flow: A lightweight spatio-temporal information-enhanced neural point process approach

Guangyin Jin, Xiang Li, Shaohua Guan, Yanjie Song, Xiaoshuai Hao and Jinlei Zhang

Kinetic modeling of wealth distribution under individual and collective transactions with heterogeneous saving propensities

Chuandong Lin and Lijie Cui

Modeling and simulation of two-dimensional vehicle interactions at unsignalized intersections using a deep discrete grid-based framework

Yingda Chen, Keping Li, Mingchang Zhu, Xue Xiao, Lun Zhang and Cong Wu

Quantum battery dynamics in polar molecular systems

Zuo-Yuan Zhang, Yi-Li Zhou, Jin-Fang Li, Jie-Ru Hu, Jin-Ming Liu, Xinning Huang and Zhaoxi Sun

Performance comparison of quantum Otto and Stirling engines using atom-photon interactions

Indrajith V.S. and Meenu L.

Machine learning analysis of the ETH–MBL transition via entanglement and imbalance dynamics

Junais Habeeb Mokkath

Impact of non-Markovianity on quantum precision and synchronization in open quantum systems

Safae Gaidi, Abdallah Slaoui, Mohammed EL Falaki and Rachid Ahl Laamara

1/f noise from a weighted sum of simple random walks

Rahul Chhimpa and Avinash Chand Yadav

Effect of non-energetic coherence in the bath on the performance of quantum thermal machines

Xiao-Ming Li, Zhong-Xiao Man and Yun-Jie Xia

Steered coherence and geometric discord in the isotropic XY spin-chain system

Biao-Liang Ye

Influence of microscopic parameters on phase behavior of a cell model with Curie–Weiss interaction

Oksana A. Dobush, Mykhailo P. Kozlovskii, Ihor V. Pylyuk and Yuriy O. Plevachuk

Numerical study of the Percus-Yevick equation: Structural and thermodynamic properties of dense fluids in Tsallis statistics

Seyed Mohammad Amin Tabatabaei Bafghi and Mohammad Kamalvand

Decorated clusters and geometrical frustration in cluster spin glass: A random graph approach

S.G. Magalhães, F.M. Zimmer and R. Erichsen

A influence prediction method in social networks with perturbation-constrained learning

Bolun Chen, Zhuanzheng Hang, Zhipeng Fang, Bushi Liu, Yandong Hou and Xin Ji

Patterns and dynamics of Netflix TV show popularity

Nahyeon Lee, Jongsoo Lim and Hyeong-Chai Jeong

Multivariate transfer entropy-guided self-attention for nonlinear causal interaction modeling: Evidence from energy systems

Jingjing Huang, Wenjuan Zhou, Ying Fan and Maofa Wang