Physica A: Statistical Mechanics and its Applications最新文献

{"title":"The selective imitation based on influence mechanism in evolutionary dynamics of the Prisoner’s dilemma game","authors":"Xinran Zhang,&nbsp;Qianwei Zhang,&nbsp;Jiaqi Liu","doi":"10.1016/j.physa.2025.130410","DOIUrl":"10.1016/j.physa.2025.130410","url":null,"abstract":"<div><div>In this paper, we propose a novel influence mechanism and investigate the evolutionary dynamics of the Prisoner’s Dilemma on a square-lattice network. Participants are categorized as influential and ordinary groups based on a predetermined ratio, with their influence measured by a weighted sum of payoffs and reputation. Different from the assumption of random imitation in the existing research, we posit that participants, referred to as focal players, are more likely to imitate influential individuals. We use an improved Fermi function to calculate the probability of this strategic imitation. The simulation results indicate that the distribution of weights for influence values, the proportion of influential players, and the probability of influential participants selected by focal players all significantly influence the frequency of cooperation. Among these factors, the probability of selecting influential players serves as the primary determinant. This study presents a novel analytical methodology to exploit the impact of influential individuals in order to augment group cooperation within real-world scenarios.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130410"},"PeriodicalIF":2.8,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128247","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":"Empirical equation for determining critical frontiers of mixed site-bond percolation in Archimedean lattices","authors":"W. Lebrecht D-P","doi":"10.1016/j.physa.2025.130400","DOIUrl":"10.1016/j.physa.2025.130400","url":null,"abstract":"<div><div>An empirical polynomial equation <span><math><mrow><msub><mrow><mi>p</mi></mrow><mrow><mi>s</mi></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>)</mo></mrow><mo>=</mo><mi>A</mi><mo>+</mo><mi>K</mi><msubsup><mrow><mi>p</mi></mrow><mrow><mi>b</mi></mrow><mrow><mi>n</mi></mrow></msubsup></mrow></math></span> is proposed to describe the behavior of critical frontiers for mixed site-bond percolation systems. This equation successfully recovers the logarithmic equation proposed by Yanuka &amp; Englman, as well as the hyperbolic equation proposed by Tarasevich &amp; van der Marck. For the latter, an analytical development is proposed using the logical operations provided by Tsallis on the <span><math><mrow><mi>S</mi><mo>∩</mo><mi>B</mi></mrow></math></span> and <span><math><mrow><mi>S</mi><mo>∪</mo><mi>B</mi></mrow></math></span> phases. The empirical equation proposed for <span><math><mrow><mi>n</mi><mo>=</mo><mn>4</mn></mrow></math></span> successfully describes the critical <span><math><mrow><mi>S</mi><mo>∪</mo><mi>B</mi></mrow></math></span> frontier for square, hexagonal, triangular and Kagome lattices. An extension of this equation is performed for simple systems linked as dimers in square and triangular lattices.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130400"},"PeriodicalIF":2.8,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093330","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":"Heterogeneous bicycle platoon evolution state estimation model","authors":"Bing Li,&nbsp;Xudong Wang,&nbsp;Yue Feng,&nbsp;Juyuan Yin,&nbsp;Jiandong Gao,&nbsp;Jielong Li,&nbsp;Wenqiang Bai","doi":"10.1016/j.physa.2025.130390","DOIUrl":"10.1016/j.physa.2025.130390","url":null,"abstract":"<div><div>The increasing number and variety of bicycles, including regular bicycles, bicycle-style electric bicycles, and scooter-style electric bicycles have made heterogeneous bicycle traffic the dominant flow in China's bicycle lanes. To scientifically describe the evolution of heterogeneous bicycle platoons, the perceived density and pseudo-lane theory are incorporated into the cell transmission model (CTM) framework, based on an in-depth analysis of the operating characteristics of heterogeneous bicycle traffic flows on urban roads. As a result, a perceived density and pseudo-lane CTM (PPCTM) considering the characteristics of heterogeneous bicycle traffic flow is established. The validation results show that the PPCTM outperformed Robertson’s platoon dispersion model and the CTM in describing heterogeneous bicycle traffic state, reducing the average prediction mean square error by 32.38 % and 28.88 %, respectively. This research model contributes to understanding the evolution patterns of heterogeneous bicycle platoons and may inform for lane planning and signal timing optimization for heterogeneous bicycle environments.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130390"},"PeriodicalIF":2.8,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093331","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":"Analysis of the impact of heterogeneous platoon for mixed traffic flow: A fundamental diagram method","authors":"Le Li,&nbsp;Yunxia Wu,&nbsp;Qiaoqiong Zeng,&nbsp;Yi Wang,&nbsp;Yangsheng Jiang,&nbsp;Zhihong Yao","doi":"10.1016/j.physa.2025.130398","DOIUrl":"10.1016/j.physa.2025.130398","url":null,"abstract":"<div><div>In the first part of this study, different combination spacing control strategies for platoons are proposed. The combined performance of different strategies in terms of fuel consumption and emission is evaluated by numerical experiments. However, that study mainly focused on assessing the environmental benefits of the strategies and did not deeply explore the traffic flow characteristics under different spacing strategies. Therefore, the second part of this study focuses on analyzing the fundamental diagram of mixed traffic flow to explore further the effects of different control strategies on traffic flow characteristics. Firstly, the fundamental diagram models of mixed traffic flow under ten control strategies are established based on the three-parameter relationship of traffic flow and the definition of density. Subsequently, the theoretical fundamental diagrams are verified by numerical simulation experiments, and the effects of different control strategies on the average speed and capacity of mixed traffic flow are analyzed in detail. Finally, the sensitivity analysis of the free flow speed and the minimum safety spacing is carried out based on the fundamental diagram model. The results show that (1) introducing the CS strategy can significantly improve capacity, and the combination with the VTG strategy has the best effect. When the penetration rate of CAVs is 1, the maximum traffic capacity of the VTG1-CS strategy is close to 10,000 veh/h, which is more than 5 times that of the HV homogeneous traffic flow, while the enhancement of the CTG-CS strategy is about four times. (2) The maximum traffic capacity of the VTG2-CS strategy when the penetration rate of CAVs is 1 is about 110.69 veh/h less than that of the CTG-CS strategy, but it performs better in terms of overall traffic flow in traffic density. However, the BS-CS strategy is weaker in enhancing traffic capacity. (3) The VTG1-CS strategy is the most sensitive to free flow speed, followed by the CTG-CS strategy. In contrast, the VTG2-VTG2 strategy is the least sensitive to free flow speed, and the VTG2-CTG and VTG2-CS strategies based on this strategy are also less sensitive. Finally, the VTG2-VTG2 strategy and VTG2-CS strategy have the highest sensitivity to the minimum safety spacing parameter. To sum up, this study provides a theoretical basis for the mechanism of the effects on traffic flow characteristics with different spacing control strategies in mixed traffic flow.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"660 ","pages":"Article 130398"},"PeriodicalIF":2.8,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157270","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":"How left-turning vehicles deal with conflicts at intersections: A driving behavior model based on relative motion risk quantification","authors":"Jun Hua ,&nbsp;Bin Li ,&nbsp;Lin Wang ,&nbsp;Guangquan Lu","doi":"10.1016/j.physa.2025.130393","DOIUrl":"10.1016/j.physa.2025.130393","url":null,"abstract":"<div><div>Unprotected left turns at intersections in right-hand traffic are a critical factor affecting traffic safety. Traditional risk assessment indicators, which typically rely on vehicle relative positions, fall short in supporting yield/go decisions by left-turning drivers across different types of conflicts, and the corresponding driving behavior models struggle to capture the underlying behavioral mechanisms. To address these limitations, this paper introduces an improved risk assessment indicator based on risk field theory. By quantifying the relative motion risk between interactive vehicles, the proposed indicator offers a unified standard for intuitively determining whether a conflict has been resolved. Building on this, a Perception-decision-action behavioral framework, grounded in the preview-follower theory and risk homeostasis theory, is employed to model decision-making behaviors. This behavioral mechanism-driven model is validated through numerical simulations of vehicle trajectories, achieving a 92.59 % accuracy rate in replicating the decision-making behavior of left-turning vehicles, comparable to the performance of previous data-driven classification models. Furthermore, several cases are analyzed and discussed under different risk preferences and preview times, demonstrating that the model has potential for personalized trajectory planning. Overall, this paper provides a valuable reference model for enhancing intersection safety and advancing trajectory planning in autonomous driving systems.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130393"},"PeriodicalIF":2.8,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128382","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":"Complexity of two-level systems","authors":"Imre Varga","doi":"10.1016/j.physa.2025.130389","DOIUrl":"10.1016/j.physa.2025.130389","url":null,"abstract":"<div><div>Complexity of two-level systems, e.g. spins, qubits, magnetic moments etc, are analyzed based on the so-called correlational entropy in the case of pure quantum systems and the thermal entropy in case of thermal equilibrium that are suitable quantities essentially free from basis dependence. The complexity is defined as the difference between the Shannon-entropy and the second order Rényi-entropy, where the latter is connected to the traditional participation measure or purity. It is shown that the system attains maximal complexity for special choice of control parameters, i.e. strength of disorder either in the presence of noise of the energy states or the presence of disorder in the off diagonal coupling. It is shown that such a noise or disorder dependence provides a basis free analysis and gives meaningful insights. We also look at similar entropic complexity of spins in thermal equilibrium for a paramagnet at finite temperature, <span><math><mi>T</mi></math></span> and magnetic field <span><math><mi>B</mi></math></span>, as well as the case of an Ising model in the mean-field approximation. As a result all examples provide important evidence that the investigation of the entropic complexity parameters help to get deeper understanding in the behavior of these systems.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130389"},"PeriodicalIF":2.8,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093343","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":"Enhancing the robustness of planar spatial networks","authors":"Marco Tomassini","doi":"10.1016/j.physa.2025.130387","DOIUrl":"10.1016/j.physa.2025.130387","url":null,"abstract":"<div><div>Spatial networks cover a large number of important infrastructures such as railways, roads and distribution systems of various kinds. The integrity of these infrastructures is very important for society. Methods for improving the robustness of spatial planar networks are suggested based on adding new links to the networks under the hard constraint that the total added link length is less than a small percentage of the original length. The strategies are first applied to model spatial networks by using numerical simulations for the attacks and failures and the results are satisfactory in terms of the robustness of the modified networks compared to the original ones. The methodology is then applied to two actual spatial networks of the transportation type with equally good results. We conclude that the proposed heuristic strategy is a useful one in this context and can also be applied to actual networks.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"660 ","pages":"Article 130387"},"PeriodicalIF":2.8,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Cascading dynamics on coupled networks with load-capacity interplay and concurrent recovery-failure","authors":"Jianwei Wang,&nbsp;Rouye He,&nbsp;Haozhe Sun,&nbsp;Haofan He","doi":"10.1016/j.physa.2025.130373","DOIUrl":"10.1016/j.physa.2025.130373","url":null,"abstract":"<div><div>Coupled networks play a crucial role in modern infrastructure, where damage to one network can trigger cascading failures across the entire system. However, most studies on cascading failures in coupled networks have focused solely on failure propagation, overlooking the simultaneous occurrence of recovery and failure. To address this, we develop a general cascading failure model for interdependent networks that considers dynamic load-capacity interactions and concurrent recovery mechanisms. Specifically, the model captures how variations in the load of one network influence the coupled network and how recovery processes mitigate cascading effects. Using this model, we conducted experiments on a coupled power-communication network as a case study, employing various many-to-many coupling strategies. Results indicate disassortative coupling excels at low recovery thresholds, and assortative coupling at high thresholds, both outperforming random coupling and being less affected by recovery sensitivity. Larger node load differences resist random attacks better, while smaller differences resist maximum load attacks more effectively.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130373"},"PeriodicalIF":2.8,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093334","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":"Opinion dynamics in bounded confidence models with manipulative agents: Moving the Overton window","authors":"A. Bautista","doi":"10.1016/j.physa.2025.130379","DOIUrl":"10.1016/j.physa.2025.130379","url":null,"abstract":"<div><div>This paper focuses on the opinion dynamics under the influence of manipulative agents. This type of agents is characterized by the fact that their opinions follow a trajectory that does not respond to the dynamics of the model, although it does influence the rest of the normal agents. Simulation has been implemented to study how one manipulative group modifies the natural dynamics of some opinion models of bounded confidence. It is studied what strategies based on the number of manipulative agents and their common opinion trajectory can be carried out by a manipulative group to influence normal agents and attract them to their opinions. In certain weighted models, some effects are observed in which normal agents move in the opposite direction to the manipulator group. Moreover, the conditions which ensure the influence of a manipulative group on a group of normal agents over time are also established for the Hegselmann–Krause model.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"660 ","pages":"Article 130379"},"PeriodicalIF":2.8,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157316","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":"Parameter identification of the Black-Scholes model driven by multiplicative fractional Brownian motion","authors":"Wentao Hou ,&nbsp;Shaojuan Ma","doi":"10.1016/j.physa.2025.130371","DOIUrl":"10.1016/j.physa.2025.130371","url":null,"abstract":"<div><div>In this paper, we propose a parameter identification method based on deep learning network, which can jointly identify all parameters of the Black–Scholes (BS) model driven by multiplicative fractional Brownian motion (FBM) in a discrete sample trajectory. Firstly, the Convolutional Neural Network (CNN) is combined with the Bi-directional Gated Recurrent Unit (BiGRU) and the attention mechanism (AM) is integrated to construct the new identifier (CBANN). Then, the multiplicative FBM is constructed as the random effect of the BS model, and all the parameters of the model are identified by the new identifier. Finally, extensive numerical simulations are conducted for both known and unknown Hurst exponents, and two empirical studies are performed using real data. The results suggest that, compared to the PENN identifier and the maximum likelihood (ML) identifier, the proposed identifier can simultaneously identify all parameters in the model more quickly and accurately. Additionally, several advantages of the new identifier are discussed, including its strong generalization performance, flexibility in training set proportion settings, and the incorporation of an attention mechanism layer.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"660 ","pages":"Article 130371"},"PeriodicalIF":2.8,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157308","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}