Physica A: Statistical Mechanics and its Applications最新文献

{"title":"Hypergraph Kolmogorov–Arnold Networks for station level meteorological forecasting","authors":"Jian Tang,&nbsp;Kai Ma","doi":"10.1016/j.physa.2025.130725","DOIUrl":"10.1016/j.physa.2025.130725","url":null,"abstract":"<div><div>Weather forecasting plays a vital role in various domains, including disaster prevention, resource management, and energy optimization. Meteorological observation data are crucial for accurate weather forecasting, as they provide the spatial and temporal information needed to capture complex weather patterns. Graph Neural Networks (GNNs), due to their ability to handle non-Euclidean spatial relationships, can model the spatial dependencies among weather stations and have achieved good results in various weather prediction tasks. However, traditional graph neural networks, while effective at modeling spatial relationships between weather stations, often fall short in capturing the complex, multi-dimensional dependencies across different scales. This paper introduces a novel multi-information spatio-temporal hypergraph learning framework to overcome these limitations. By integrating neighborhood and semantic hypergraph convolutional networks, the framework effectively aggregates information from both spatially adjacent and semantically similar weather data, enabling it to capture intricate spatial and temporal features. Additionally, the Kolmogorov–Arnold Network (KAN) is introduced to enhance the model’s ability to learn dynamic, high-dimensional feature representations through the use of learnable univariate functions instead of fixed linear weights. Experiments on benchmark weather datasets show that the proposed method surpasses traditional spatio-temporal graph neural networks, providing higher accuracy and robustness in predicting complex meteorological phenomena.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130725"},"PeriodicalIF":2.8,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144281142","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":"Abnormal cascading dynamics in transportation networks with a dynamic origin–destination demand matrix","authors":"Jianwei Wang,&nbsp;Hexin Huang,&nbsp;Yue Liu,&nbsp;Yanfeng Zheng","doi":"10.1016/j.physa.2025.130713","DOIUrl":"10.1016/j.physa.2025.130713","url":null,"abstract":"<div><div>In real-world road networks, origin–destination (OD) demand dynamics, influenced by origin capacity and destination attractiveness, determine network load. For instance, weekday mornings see high travel demand from residential to commercial areas, shaping the OD matrix critical for transportation efficiency. Our study introduces a dynamic OD demand matrix and a novel method to gauge initial network edge load. This informs a new cascading failure model with adjustable parameters: the generation parameter <span><math><mi>α</mi></math></span>, representing the intensity of departure willingness at origin nodes; the attraction parameter <span><math><mi>β</mi></math></span>, capturing the relative attractiveness of destination nodes; and the capability parameter <span><math><mi>γ</mi></math></span>, reflecting the capacity of each edge to accommodate excess load. Simulation across three transportation networks reveals two phases of cascading failures: initial mild propagation followed by rapid collapse, linked to connectivity shifts. Introducing a Gaussian-corrected distance factor mitigates rapid collapse risks. Analysis of WS and BA network models underscores the importance of a balanced load-to-initial load ratio for network stability. Effective management of subnet loads is crucial to achieve this balance, ensuring robust network performance and resilience.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130713"},"PeriodicalIF":2.8,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272061","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":"Exploring network structure with the density of states","authors":"Rudy Arthur","doi":"10.1016/j.physa.2025.130742","DOIUrl":"10.1016/j.physa.2025.130742","url":null,"abstract":"<div><div>Community detection, as well as the identification of other structures like core periphery and disassortative patterns, is an important topic in network analysis. While most methods seek to find the best partition of the network according to some criteria, there is a body of results which suggests a single network can have many good but distinct partitions. In this paper we introduce the density of states as a tool for studying the space of all possible network partitions. We demonstrate how to use the well known Wang–Landau method to compute a network’s density of states. We show that, even using modularity to measure quality, the density of states can still rule out spurious structure in random networks and overcome resolution limits. We demonstrate how these methods can be used to find ‘building blocks’, groups of nodes which are consistently found together in detected communities. This suggests an approach to partitioning based on exploration of the network’s structure landscape rather than optimisation.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130742"},"PeriodicalIF":2.8,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272062","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":"Low-temperature states of the Ising ±J model on a square lattice","authors":"V.O. Trukhin ,&nbsp;E.I. Prokhorov ,&nbsp;A.G. Makarov ,&nbsp;K.V. Nefedev","doi":"10.1016/j.physa.2025.130729","DOIUrl":"10.1016/j.physa.2025.130729","url":null,"abstract":"<div><div>Using the complete enumeration method, we accurately calculated all possible states of the Edwards–Anderson model on a simple square lattice of 8 × 8 spins. The ground state energies of the studied finite-size samples were determined. The macroscopic degeneracy of the ground state in frustrated spin systems arises from the combinatorics of frustrated plaquettes, i.e., the number of ways to place frustrated spin pairs on the lattice. The algorithm for calculating energy, spin excess, and ground state configurations is based on identifying the arrangement of frustrations. The dependence of the ground state spin excess in the Edwards–Anderson model on an external magnetic field has a discrete (step-like, stair-like) character. Critical values of the external magnetic field, at which large peaks in residual entropy occur, were calculated. The nature of these large entropy peaks is explained by the fact that, at certain critical values of the external magnetic field, the sum of several spin configurations with different interaction energies and Zeeman energies, i.e., with different values of spin excess, will have the same total energy. The degeneracy multiplicities of states with the same total energy are summed up at the critical magnetic field value. The areas of existence of low-temperature states have been determined.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130729"},"PeriodicalIF":2.8,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144307944","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":"Towards an efficient uncertainty measure of probability distribution set: From the belief structure perspective","authors":"Yibo Guo ,&nbsp;Qianli Zhou ,&nbsp;Yong Deng","doi":"10.1016/j.physa.2025.130720","DOIUrl":"10.1016/j.physa.2025.130720","url":null,"abstract":"<div><div>Bayesian probability theory models uncertainty of a random variable within an n-dimensional framework, employing n-dimensional weights. Shannon entropy, as a foundational concept in information theory, can effectively characterize the randomness of probability distribution. This paper will discuss an extended question: when multiple probability distributions jointly model a random variable, how can their uncertainty be characterized? In response to this issue, we considered a generalized expression of probability distribution - the belief structure to accomplish this task. By comparing with traditional entropy interval and the weighted average entropy approach, we demonstrate the rationality and effectiveness of the proposed method from both mathematical proof and practical application perspectives.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130720"},"PeriodicalIF":2.8,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144262337","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":"A mathematical modeling of n-state systems","authors":"M. Rahimi ,&nbsp;M.R. Mozaffari ,&nbsp;A. Tayebi","doi":"10.1016/j.physa.2025.130727","DOIUrl":"10.1016/j.physa.2025.130727","url":null,"abstract":"<div><div>In this paper, we assign a Riemannian manifold to <span><math><mi>n</mi></math></span>-state systems by using a canonical ensemble in equilibrium statistical mechanics. We consider discrete states with equal intervals, i.e., we assume equal energy intervals between the states of non-interacting particles. Since there are many important quantities on a Riemannian manifold, we may define them for <span><math><mi>n</mi></math></span>-state systems. We define a distance between different equilibrium statistical states of an <span><math><mi>n</mi></math></span>-state system. We also give a lower bound for the mean square error of an unbiased estimator for the temperature of an <span><math><mi>n</mi></math></span>-state system.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130727"},"PeriodicalIF":2.8,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144254891","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":"Reduction strategy of rear-end collision risks for connected and automated vehicles on freeways with different weather conditions","authors":"Yufeng Jiang ,&nbsp;Yanyan Qin ,&nbsp;Li Zhu ,&nbsp;Gen Li ,&nbsp;Hao Wang","doi":"10.1016/j.physa.2025.130761","DOIUrl":"10.1016/j.physa.2025.130761","url":null,"abstract":"<div><div>Car-following behavior is significantly influenced by weather conditions. Adverse weather conditions, in particular, negatively affect this behavior and increase rear-end collision risks. Equipped with advanced technologies, connected and automated vehicles (CAVs) have potential in reducing collision risks. To mitigate the collision risks of mixed fleet with CAVs and human-driven vehicles (HVs) on freeways with various weather conditions, this paper proposes a distance-based control strategy for CAVs. Specifically, the Gipps model was employed to represent car-following behavior of HVs under different weather conditions. Based on this, a car-following strategy for CAVs is developed to enhance their adaptability to distance situations with the vehicle ahead. To validate the effectiveness of the proposed CAV strategy, simulation experiments under both speed homogeneity and heterogeneity conditions were conducted, which analyzed the effects of weather condition, vehicle speed, and CAV penetration rate on rear-end collision risks. Furthermore, we examined how distribution patterns of CAVs in mixed fleet influenced the rear-end collision risk. The results demonstrate that the proposed CAV strategy can effectively enhance fleet stability and reduce rear-end collision risks caused by emergency braking under clear, rainy, and foggy freeway conditions. When compared to a fleet of pure HVs, reduction in surrogate measures of ITC and DRAC exceeds 75 % and 60 %, respectively, at different speed levels for a fleet of pure CAVs. Additionally, during the early stages of CAVs adoption on freeways, it is recommended to place CAVs in the middle of the mixed fleet across different weather conditions. As CAVs become more widely adopted, they are suggested to be positioned at the front of the mixed fleet to minimize the overall rear-end collision risks. While the speed heterogeneity weakens this trend, the minimum collision risk occurs when CAVs position in the front of the mixed fleet.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130761"},"PeriodicalIF":2.8,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241363","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":"The power spectrum of a generalized random telegraph signal with special reference to 1/f noise","authors":"Ferdinand Grüneis","doi":"10.1016/j.physa.2025.130758","DOIUrl":"10.1016/j.physa.2025.130758","url":null,"abstract":"<div><div>A random telegraph signal (RTS) is regarded as a random succession of non-overlapping, rectangular pulses separated by gaps. Besides the switching amplitude, an RTS is defined by the lifetime of the pulse and by the gap, both of which are exponentially distributed. Such an RTS can be generalized for arbitrarily distributed pulse lifetime and gap. By replacing the pulse with a cluster of non-overlapping events, a new approach to derive the power spectrum of such a generalized RTS is presented. For a power-law distributed cluster size, the power spectrum exhibits 1/f noise only depending on the mean cluster lifetime and on the mean gap. The total power of the generalized RTS shows an aging effect.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130758"},"PeriodicalIF":2.8,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144281141","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":"Cascading failures in multiple-to-multiple interdependent networks considering interdependent failure threshold","authors":"Yunda Wang ,&nbsp;Yongxiang Xia ,&nbsp;Qinfa Xu ,&nbsp;Jingrui Wang ,&nbsp;Zhen Wang","doi":"10.1016/j.physa.2025.130712","DOIUrl":"10.1016/j.physa.2025.130712","url":null,"abstract":"<div><div>In recent years, the study of interdependent networks has emerged as a focus within the field of complex networks. In analyses of the robustness of networks with multiple support-dependent relationships, traditional interdependent failure rules often assume that a node fails when one or all of its interdependent nodes fail. Such assumptions often fail to capture the probabilistic nature of real-world network failures. More generally, interdependent networks in the real world typically exhibit failure dynamics in which a node fails if a certain proportion of its interdependent nodes fail. To address this fact, this paper proposes a model of multiple-to-multiple interdependent networks that introduces an interdependent failure threshold, defined as the proportion of failed interdependent nodes required to trigger the failure of a given node. The study investigates how the varying number of interdependent edges and the interdependent failure threshold influence the robustness of the network under random or intentional attacks. In intentional attacks, the robustness of the network decreases as the number of interdependent links increases. Additionally, assortatively coupled networks demonstrate greater robustness under random attacks, while randomly coupled networks are more robust under intentional attacks. Finally, we verify the correctness of our results in real-world settings and obtain conclusions that are basically consistent with the theoretical model. These findings provide valuable information on the resilience mechanisms of interdependent networks in the real world, which has implications for the design of more robust systems.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130712"},"PeriodicalIF":2.8,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241364","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":"Vehicle platoon in road traffic: A survey of modeling, communication, controlling and perspectives","authors":"Haijian Li ,&nbsp;Weizhe Meng ,&nbsp;ZongLin Han ,&nbsp;Zihan Zhang ,&nbsp;Yanfang Yang","doi":"10.1016/j.physa.2025.130757","DOIUrl":"10.1016/j.physa.2025.130757","url":null,"abstract":"<div><div>This paper reviews the important role of vehicle platooning in road transportation, analyzing key aspects including modeling, communication, and control strategies. It provides a detailed examination of following and lane-changing models, emphasizing their significance in autonomous platooning control, while also identifying potential future directions for model development. The paper explores key communication technologies like Vehicle-to-Vehicle (V2V) communication and 5 G, discussing their applications in platooning systems. In terms of control strategies, the paper delves into both vertical and horizontal control methods for platooning, evaluating the stability of control mechanisms. This review aims to offer a comprehensive understanding of platooning technology and presents valuable insights to guide future research and development in this field.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130757"},"PeriodicalIF":2.8,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241362","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}