{"title":"Co-evolution mechanism in networked snowdrift game with large connection range","authors":"Yaojun Liu , Xingwen Liu , Xin Han , Kai Xie","doi":"10.1016/j.physa.2025.130799","DOIUrl":"10.1016/j.physa.2025.130799","url":null,"abstract":"<div><div>Interactive networks play an important role in evolution of cooperation. Compared to traditional game performed on static network, co-evolutionary game models can capture the dynamic interactive connection between players. Aiming to depict more realistic network dynamics, we propose a co-evolutionary game model that incorporates three features describing the entire connection updating process: (1) Selection range adjustment, expanding or reducing players’ neighbor selection ranges based on their payoffs; (2) Preferential selection, favoring connection with the most successful players while severing connection with low-payoff player with a certain probabilities; (3) Mutual connection willingness, requiring the consent of both players for new connections. Note that these features jointly facilitate the appearance of large connection range, which frequently emerges in real-world systems. Experimental results show that the proposed mechanism can drastically enhance cooperation level of snowdrift game with wide ranges of all parameters. More interestingly, the co-evolution process reveals how a scale-free network evolves from the initial lattice structure, providing new insights into realistic co-evolution dynamics. It is also shown that large connection ranges are essential for both high-level cooperation and scale-free network emergence.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130799"},"PeriodicalIF":2.8,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144596741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Xi Lin , Akihito Nagahama , Daichi Yanagisawa , Katsuhiro Nishinari
{"title":"From chaos to order: Evaluating behavior-driven road sign strategies in work zone management","authors":"Xi Lin , Akihito Nagahama , Daichi Yanagisawa , Katsuhiro Nishinari","doi":"10.1016/j.physa.2025.130816","DOIUrl":"10.1016/j.physa.2025.130816","url":null,"abstract":"<div><div>Road construction significantly impacts traffic dynamics, often causing severe congestion, reduced speeds, and elevated accident risks due to lane closures and merging bottlenecks. This study employs a cellular automaton (CA) simulation to examine how changes in driver behavior, induced by different road signage strategies, influence traffic congestion patterns around work zones on multi-lane one-way roads. Three road sign strategies were analyzed: basic warning sign, detailed merging and speed regulation sign, and combined signs. Simulation results show that effective signage improves traffic conditions by promoting smoother lane changes and speed adjustments. The study further reveals that placing work zones in the middle lane (Lane 2) of a three-lane road tends to increase congestion unless appropriate signage is used. Moreover, analyses based on heatmaps, lane occupancy, and congestion metrics reveal the nonlinear and chaotic nature of traffic flow, showing that variations in driver behavior induced by different signage strategies lead to distinct congestion patterns. Unclear signage often leads to aggressive deceleration and merging, causing turbulent congestion waves and chaotic spillover effects. In contrast, advanced signage promotes orderly driving behavior, stabilizing traffic flow by balancing lane utilization and reducing nonlinear instabilities. These findings show the significant influence of signage-induced driver behavior on congestion patterns and provide practical insights for improving traffic management near work zones.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130816"},"PeriodicalIF":2.8,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144596812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Analyzing various two-wheelers in mixed traffic flow with cars using a cellular automata model incorporating social force","authors":"Chengyu He , Qian Qian , Jie Pan , Jing Shi","doi":"10.1016/j.physa.2025.130815","DOIUrl":"10.1016/j.physa.2025.130815","url":null,"abstract":"<div><div>This study aims to analyze the characteristics of various types of two-wheelers in the mixed traffic flow with cars, as well as the effectiveness of corresponding management measures. Given the diversity of two-wheelers, including motorcycles, bicycles, e-bikes and over-standard e-bikes, a hybrid model that integrates Cellular Automata (CA) rules with Social Force (SF) principles is proposed, termed the Cellular Automata-Social Force model (CA-SF). This model is designed to simulate the interactions between cars and two-wheelers under mixed traffic conditions. By incorporating social force calculations to govern lateral movement rules, the model can simulate overtaking and lane transgression behaviors. Model parameters are derived from existing literature and real-world data, and the accuracy and reliability of the model have been validated. Through multiple sets of traffic flow simulation experiments, the study evaluates the impacts of various measures on traffic efficiency and safety in a mixed traffic environment. It is found that the physical separation of motorized and non-motorized lanes generally reduces the traffic efficiency of non-motorized two-wheelers. The impact of physical separation on traffic safety varies depending on the composition of traffic. When the proportion of two-wheelers is high, separation benefits high-speed two-wheelers such as motorcycles and over-standard e-bikes. However, when the proportion of two-wheelers is low, the opposite result occurs. Additionally, widening non-motorized lanes improves the overall traffic efficiency of two-wheelers, though the extent of improvement is less significant than the proportional increase in lane width.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130815"},"PeriodicalIF":2.8,"publicationDate":"2025-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Trends and reversion in financial markets on time scales from minutes to decades","authors":"Sara A. Safari , Christof Schmidhuber","doi":"10.1016/j.physa.2025.130796","DOIUrl":"10.1016/j.physa.2025.130796","url":null,"abstract":"<div><div>We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30 years of daily futures prices, 330 years of monthly asset prices, and yearly financial data since medieval times.</div><div>Across asset classes, we find that markets are in a <em>trending regime</em> on time scales that range from a few hours to a few years, while they are in a <em>reversion regime</em> on shorter and longer time scales. In the <em>trending regime</em>, weak trends tend to persist, which can be explained by herding behavior of investors. However, in this regime trends tend to revert before they become strong enough to be statistically significant, which can be interpreted as a return of asset prices to their intrinsic value. In the <em>reversion regime</em>, we find the opposite pattern: weak trends tend to revert, while those trends that become statistically significant tend to persist.</div><div>Our results provide a set of empirical tests of theoretical models of financial markets. We interpret them in the light of a recently proposed lattice gas model, where the lattice represents the social network of traders, the gas molecules represent the shares of financial assets, and efficient markets correspond to the critical point. If this model is accurate, the lattice gas must be near this critical point on time scales from 1 h to a few days, with a correlation time of a few years.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130796"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Ziyang Jin , Yifan Wang , Xueyu Meng , Dongli Duan , Ning Wang
{"title":"Identifying critical roads in urban road networks considering congestion propagation","authors":"Ziyang Jin , Yifan Wang , Xueyu Meng , Dongli Duan , Ning Wang","doi":"10.1016/j.physa.2025.130795","DOIUrl":"10.1016/j.physa.2025.130795","url":null,"abstract":"<div><div>Urban congestion poses growing challenges to mobility and sustainability. While enhancing traffic control can alleviate urban congestion, limited resources necessitate prioritizing traffic management on critical road segments. However, few studies have considered the impact of congestion propagation for identification critical roads in urban road networks. This study proposes a novel evaluation method for identifying critical roads by integrating congestion features and propagation impacts within dynamic city congestion environments. Firstly, a congestion propagation model based on dynamic variation features of traffic flow distribution is introduced. Then, by combining local traffic information, the road evaluation method for identifying critical roads based on two factors at a time, congestion level, and congestion propagation process is provided. Finally, application to a case study of the Xi’an City, China road network demonstrates the evaluation method outperforms existing methods in identifying critical roads for network robustness enhancement. Moreover, the distinctive spatiotemporal patterns in Xi’an City road network, particularly the intensified clustering phenomena of critical roads under peak hour traffic conditions are analyzed. The findings emphasize the significance of considering traffic redistribution phenomena in congestion propagation. Suggesting the synthetic evaluation methods for identifying critical roads, offering valuable insights for effective traffic congestion management strategies.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130795"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Rui Ye , Xuanwen Liang , Liping Lian , Zhongyi Huang
{"title":"How conflicting information affects occupant behaviors during evacuations from a metro train: a virtual-reality-based investigation","authors":"Rui Ye , Xuanwen Liang , Liping Lian , Zhongyi Huang","doi":"10.1016/j.physa.2025.130810","DOIUrl":"10.1016/j.physa.2025.130810","url":null,"abstract":"<div><div>The evacuation behaviors of occupants are significantly affected by the information in the surrounding environment. When information from multiple sources exists, their effect may be consistent or conflicting. The situations with conflicting information are dangerous since they may lead to wrong evacuation decisions and prolong evacuation time. In this paper, a virtual-reality-based experimental study is conducted, to investigate the effect of conflicting information on occupant evacuation behaviors in a metro train, in two different scenarios. In the first scenario, the conflicting information comes from the moving crowd and the static crowd. In the second scenario, the conflicting information comes from the broadcast, the moving crowd and the static crowd. Occupant pre-movement time and evacuation time are derived. The behaviors of direction change and exit choice are analyzed. The results demonstrate that reinforcing the strength of the information is not always helpful to decrease pre-movement time and total evacuation time. It also indicates that when the size of the moving crowd is relatively large, occupants show a strong tendency to follow them, even the directional information is in conflict with that from other sources, for example the broadcast. The results presented in this study can provide useful implications on the management of information during evacuations.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130810"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Collective dynamics of particle swarm optimization: A network science perspective","authors":"Lingyun Deng, Sanyang Liu","doi":"10.1016/j.physa.2025.130778","DOIUrl":"10.1016/j.physa.2025.130778","url":null,"abstract":"<div><div>Particle swarm optimization (PSO) is a cornerstone of evolutionary computation, yet its population dynamics and topological properties remain poorly understood beyond traditional stability analysis. This study presents the first network science-based investigation of PSO’s intrinsic topology, demonstrating that its network structure inherently exhibits small-world architecture and heavy-tailed degree distributions. Through systematic analysis of 13 benchmark functions – including 7 unimodal and 6 multimodal problems – we construct population communication networks where nodes represent particles and edges denote the interaction between individuals. This interdisciplinary lens provides a promising theoretical framework for analyzing evolutionary computation methods.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130778"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Magnetic properties of an intralayer ferri(antiferro)magnetic double-layer Heisenberg system","authors":"Xin Liu, Fan Zhang, Xiu-Li Kai, Shuang-Shuang Liu","doi":"10.1016/j.physa.2025.130813","DOIUrl":"10.1016/j.physa.2025.130813","url":null,"abstract":"<div><div>Using the retarded Green’s function technique (RGFT) and the linear spin wave approximation (LSWA), the magnetic properties of an intralayer ferri(antiferro)magnetic double-layer Heisenberg system were investigated. The calculation results indicate that spin values, exchange couplings and anisotropies have a great influence on the spin-wave spectra (SWS), energy gap, frequency in middle of magnon energy gap, sublattiec magnetizations and quantum fluctuations of the system. Owing to the competition between the exchange coupling and anisotropy, the sublattice magnetizations or quantum fluctuations cross.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130813"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Menglu Xu, Xingyi Hou, Miao Wang, Lin Hu, Linfei Nie
{"title":"Global dynamics and optimal control of an environmentally-driven epidemic model on heterogeneous networks","authors":"Menglu Xu, Xingyi Hou, Miao Wang, Lin Hu, Linfei Nie","doi":"10.1016/j.physa.2025.130803","DOIUrl":"10.1016/j.physa.2025.130803","url":null,"abstract":"<div><div>Considering environmental transmission and the heterogeneity of contacts between people, an infectious disease model with environmental transmission on a heterogeneous network is proposed. First, the non-negativity and boundedness of solutions for this model are verified. Subsequently, the basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is derived, serving as the critical threshold governing the model’s dynamics. Specifically, the disease-free equilibrium is globally asymptotically stable when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo><</mo><mn>1</mn></mrow></math></span>, disease is uniformly persistent for <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>. Furthermore, the endemic equilibrium is proved to be globally asymptotically stable when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span> and under some additional conditions. To evaluate intervention efficacy, we extend the model to incorporate control strategies, where the effects of uniform immunization, target immunization and acquaintance immunization on disease control are compared. The results demonstrate that targeted immunization achieves superior disease suppression under equivalent immunization intensities. Additionally, applying Pontryagin’s maximum principle, we prove that simultaneous implementation of multiple controls maximizes intervention efficacy while minimizing operational costs. Finally, the theoretical results are explained by numerical simulations and the effects of immunization and comprehensive control are compared under different degree distributions. The results show that comprehensive control is the best choice to prevent and control the spread of the disease under different degree distributions.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130803"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Jianpeng Sun , Jing Zhang , Zijian Yuan , Junfang Tian , Tao Wang
{"title":"A stochastic car-following model in the framework of Kerner’s three-phase traffic theory","authors":"Jianpeng Sun , Jing Zhang , Zijian Yuan , Junfang Tian , Tao Wang","doi":"10.1016/j.physa.2025.130798","DOIUrl":"10.1016/j.physa.2025.130798","url":null,"abstract":"<div><div>The relationship between the mechanisms of traffic congestion and stochasticity remains a critical issue that requires further investigation. This paper aims to reveal the stochastic characteristics of driving behavior to explore the intrinsic mechanisms of traffic flow instability and capture the dynamic features of congestion patterns, further enhancing the reproduction of the effects of stochasticity on traffic oscillations. Based on this, a Multi-Factor Stochastic Traffic Flow Model (MSTF) is proposed from a microscopic perspective, incorporating conditions such as safe speed, movable distance, desired distance, and stochastic slow-down probability. Simulation results show that the model can reproduce all traffic flow patterns under various boundary conditions, including Local Synchronous Pattern (LSP), Widening Synchronous Pattern (WSP), Moving Synchronous Pattern (MSP), Dissolving General Pattern (DGP), and General Pattern (GP). Moreover, when in a critical state, the model accurately reproduces traffic flow metastable state, spatio-temporal patterns, and phase transitions. Calibration and validation results indicate that the model effectively simulates the actual phenomenon of spacing fluctuations between following vehicles (with a minimum RMSPE of less than 0.05) and accurately reproduces the concave growth pattern of speed oscillations in car-following platoons. The research outcomes further highlight, both theoretically and numerically, the influence of stochastic factors on traffic flow stability. These findings provide valuable insights for the development of stochastic car-following models capable of accurately reproducing observed traffic congestion patterns.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"675 ","pages":"Article 130798"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}