{"title":"Dynamic analysis of evolutionary game considering individual cognition","authors":"Shuwei Li, Yuhan Hu, Yidong Zhang","doi":"10.1016/j.physa.2026.131546","DOIUrl":"10.1016/j.physa.2026.131546","url":null,"abstract":"<div><div>Cooperation plays a pivotal role across a multitude of domains, influenced by a diverse array of factors. In the real world, cognitive heterogeneity among individuals leads to variation in the extent to which agents with different cognitive levels influence cooperation. This study develops an evolutionary game model incorporating individual cognition and conducts a theoretical analysis thereof. Dynamical systems analysis reveals that the system admits five coexistence states. The results indicate that in environments with strong temptation to defect, high-dimensional cognitive cooperative strategies may confer adaptive advantages on cooperators, enabling them to maintain presence in the population. Specifically, this advantage manifests as follows: when individuals with high-dimensional cognition encounter ordinary collaborators, they can leverage their cognitive advantages to optimize the cooperation or carry out precise exploitation.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"694 ","pages":"Article 131546"},"PeriodicalIF":3.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147747602","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}
Zahra Mokhtari, Mohadeseh Feshanjerdi, Amir Ali Masoudi
{"title":"Percolation transition from germanium quantum dots to a monolayer in the heteroepitaxy growth model","authors":"Zahra Mokhtari, Mohadeseh Feshanjerdi, Amir Ali Masoudi","doi":"10.1016/j.physa.2026.131410","DOIUrl":"10.1016/j.physa.2026.131410","url":null,"abstract":"<div><div>We developed a kinetic Monte Carlo method to investigate the heteroepitaxial growth of Ge/Si(001) quantum dots under varying temperatures and fluxes. Our results show that increasing the flux rate of impinging atoms and raising the temperature promotes the coalescence of quantum dots on the surface within the heteroepitaxial Volmer-Weber growth regime, ultimately driving a transition from quantum dots to a continuous monolayer. Using percolation theory, we estimate the transition threshold from quantum dots to a monolayer at different fluxes and temperatures. Additionally, we determine the critical percolation exponents by applying the finite-size scaling method. Our findings reveal that variations in flux and temperature significantly influence the size, distribution of formed islands, and the percolation threshold from quantum dots to the monolayer within the Volmer-Weber growth regime.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131410"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386956","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":"Blume–Capel model in d=1 with long-range interactions: Giant reentrance in the finite-temperature tricritical phase diagrams","authors":"E. Can Artun , A. Nihat Berker","doi":"10.1016/j.physa.2026.131387","DOIUrl":"10.1016/j.physa.2026.131387","url":null,"abstract":"<div><div>The Blume–Capel model in one dimension with long-range power-law interactions is studied by renormalization-group theory. A series of finite-temperature tricritical phase diagrams is found, as a function of the power-law exponent of the power-law interactions. These calculated phase diagrams exhibit a giant reentrance in the form disorder-order–disorder as temperature is lowered. The first-order transition takes over the entire phase boundary at longest-range interactions, as a near-equivalent-neighbor regime is approached.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131387"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387071","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":"Information-driven behavioural dynamics in indoor gas-leak evacuation","authors":"Dongyue Zhao , Haixing Hu , Yunhe Tong , Shihua Ren , Xiaolong Zhao , Qi Qi","doi":"10.1016/j.physa.2026.131409","DOIUrl":"10.1016/j.physa.2026.131409","url":null,"abstract":"<div><div>Indoor gas-leak emergencies pose severe evacuation challenges due to rapid hazard diffusion, confined spaces, and strong information asymmetries within crowds. Existing evacuation models largely emphasise physical risk fields or aggregate communication rates, while insufficiently representing how warning information is actually received, accepted, and acted upon by individuals. This study develops an information-driven evacuation model by extending the social force framework to explicitly incorporate information reception as a core behavioural mechanism. Pedestrians transition dynamically among uninformed, directly aware, and informed states based on hazard exposure, interpersonal information transmission, and social influence, with information reception quantified through Effective Information Reception (EIR) that integrates cognition, credibility, and transmission attenuation. Simulation experiments in a simplified indoor gas-leak environment systematically examine the effects of EIR, information propagation range, and crowd density on evacuation dynamics. Results reveal clear threshold and saturation effects in information-driven evacuation: higher EIR and larger propagation ranges substantially accelerate evacuation under low-to-medium densities, while their marginal benefits diminish in dense crowds where congestion dominates. Crowd density modulates whether evacuation dynamics are primarily constrained by information availability or by physical congestion, while persistent spatial edge effects hinder complete evacuation even under favourable information conditions. These findings highlight the central role of information reception in shaping evacuation performance and provide guidance for designing effective emergency communication strategies in enclosed hazardous environments.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131409"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386967","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":"Who should fight the spread of fake news?","authors":"Diana Riazi , Giacomo Livan","doi":"10.1016/j.physa.2026.131396","DOIUrl":"10.1016/j.physa.2026.131396","url":null,"abstract":"<div><div>This study investigates who should bear the responsibility of combating the spread of misinformation in social networks. Should that be the online platforms or their users? Should that be done by debunking the ‘fake news’ already in circulation or by investing in preemptive efforts to prevent their diffusion altogether? We seek to answer such questions in a stylized opinion dynamics framework, where agents in a network aggregate the information they receive from peers and/or from influential external sources, with the aim of learning a ground-truth among a set of competing hypotheses. In most cases, we find centralized sources to be more effective at combating misinformation than distributed ones, suggesting that online platforms should play an active role in the fight against fake news. In line with literature on the ‘backfire effect’, we find that debunking in certain circumstances can be a counterproductive strategy, whereas some targeted strategies (akin to ‘deplatforming’) and/or preemptive campaigns turn out to be quite effective. Despite its simplicity, our model provides useful guidelines that could inform the ongoing debate on online disinformation and the best ways to limit its damaging effects.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131396"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386958","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}
Haoran Liu , Xiaohu Li , Luodan Zhang , Rongjun Cheng
{"title":"Bridging phase and timing: A joint Q-value learning framework for synergistic traffic signal control at consecutive arterial road intersections","authors":"Haoran Liu , Xiaohu Li , Luodan Zhang , Rongjun Cheng","doi":"10.1016/j.physa.2026.131421","DOIUrl":"10.1016/j.physa.2026.131421","url":null,"abstract":"<div><div>Reinforcement Learning (RL) is a highly effective traffic control method and shows strong potential. However, existing reinforcement learning-based methods for traffic signal control are insufficient in state modeling and cannot distinguish between the direct impact of queued vehicles on the intersection and the dynamic impact of moving vehicles. Additionally, they lack the ability to capture the deep synergistic relationship between signal phases and dynamic phase durations, which often leads to suboptimal decisions. This paper proposes an RL traffic signal control method based on joint Q-values, employing a detailed and predictive state representation that fully considers the different effects of queued and moving vehicles on intersection congestion. By combining vehicle speed and position features, the dynamic influence of moving vehicles on future traffic pressure is quantified. Meanwhile, the model effectively integrates lane and phase features using a multi-head attention mechanism, automatically capturing the conflict and cooperation relationships among different traffic flows. On this basis, a joint Q-value learning framework is adopted, treating signal phase selection and dynamic duration decisions as a complete decision unit for joint optimization. This directly learns the synergy between the two, thereby avoiding the problem of suboptimal decisions where efficient phases are chosen but with insufficient timing. Comprehensive experimental results in both real and synthetic scenarios show that our method achieves up to a 7.20% reduction in average travel time across various intersection settings, while also having a higher vehicle throughput. Moreover, the model converges to the optimal solution more quickly. This characteristic ensures excellent model performance while maintaining strong generalization capability.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131421"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386965","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":"Fractional-order FitzHugh–Nagumo dynamics: From single-neuron stability bifurcations to synchronization in small-world networks","authors":"Wenjing He, Maokang Luo, Lu Zhang","doi":"10.1016/j.physa.2026.131384","DOIUrl":"10.1016/j.physa.2026.131384","url":null,"abstract":"<div><div>This study pioneers a unified theoretical framework for fractional-order (FO) FitzHugh–Nagumo (FHN) neurodynamics, uncovering novel order-dependent and topology-order synergetic regulation mechanisms. By integrating FO stability theory with an extended master stability function approach, we achieve three pivotal breakthroughs: First, we identify a novel order-dependent stability bifurcation in single FOFHN neurons, where a reduced order enhances nodal stability via the intrinsic memory effects of FO calculus. Second, FOFHN networks exhibit counterintuitive non-monotonic synchronization bifurcations, which reveal the dual regulatory role of memory effects: while FO memory effects stabilize individual neurons, they can either facilitate or impair synchronous behavior at the network scale. Third, we discover unique nonlinear interactions between small-world topology and fractional order that generate distinct network synchronization patterns, where optimal synchronization arises from the balanced interplay of fractional order, topological structure, and nodal dynamical properties. This work bridges critical gaps in cross-scale FO neurodynamics, offering fundamental new insights into memory-dependent neuronal dynamics and establishing practical design principles for the modeling and control of FO neuronal networks.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131384"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387072","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":"Sorting chiral active Brownian particles with radially modulated optical fields","authors":"Harun Yücel","doi":"10.1016/j.physa.2026.131411","DOIUrl":"10.1016/j.physa.2026.131411","url":null,"abstract":"<div><div>This study presents a numerical investigation of sorting chiral active Brownian particles using radially modulated optical fields. How these factors affect particle trajectories and spatial distributions is examined by systematically varying particle parameters such as self-propulsion speed, angular velocity, and optical fringe modulation. It is found that the average orbit radius of the particle trajectory strongly depends on the ratio of the self-propulsion speed to the average velocity induced by the moving fringe pattern. In particular, the average orbit radius converges to the theoretical orbit radius defined by the ratio of the self-propulsion speed to the angular velocity in the regime where the self-propulsion speed is greater than the fringe-induced velocity. In mixtures of particles with differing chirality, the dynamic response to circular fringe patterns enables effective classification based on motility. These findings suggest that structured light fields can be used to manipulate and selectively sort chiral active particles, which have potential applications in optical micromanipulation and active matter research.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131411"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387073","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}
Li Liu, Zhong-Qiang Liu, Su-Rong Jiang, Xun-Wang Yan
{"title":"Spin models for energetics of polytypes in face-centered cubic metals","authors":"Li Liu, Zhong-Qiang Liu, Su-Rong Jiang, Xun-Wang Yan","doi":"10.1016/j.physa.2026.131402","DOIUrl":"10.1016/j.physa.2026.131402","url":null,"abstract":"<div><div>The energetics of polytypes in twelve fcc metals are systematically investigated by using advanced pseudo-Ising spin models. While the established 4P (Axial Next-Nearest-Neighbor Ising) model reliably captures energy ranges, the proposed 5P model, based on the hk notation, offers a superior microscopic perspective. It reveals that energy differences stem from the competition among three nearest-neighbor and six next-nearest-neighbor interactions. This explains the predominance of simple stacking sequences (2H, 3C, 4H, 6H(1), 9R) built from units like h, k, and hk layers. Central to our findings is the ”enthalpy polygon” framework. Its lowest-enthalpy path elucidates temperature- and pressure-induced transitions in bulk materials, while its highest-enthalpy path explains metastable phase formation during nanocrystal growth, validated against experimental data for metals such as Li, Al, Sr, Pb, and Au. This work establishes a fundamental bridge between atomic-scale interactions and macroscopic phase stability.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131402"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387077","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}
Shalom Rosner , Ronit D. Gross , Ella Koresh , Ido Kanter
{"title":"Single-nodal spontaneous symmetry breaking in NLP models","authors":"Shalom Rosner , Ronit D. Gross , Ella Koresh , Ido Kanter","doi":"10.1016/j.physa.2026.131426","DOIUrl":"10.1016/j.physa.2026.131426","url":null,"abstract":"<div><div>Spontaneous symmetry breaking in statistical mechanics primarily occurs during phase transitions at the thermodynamic limit where the Hamiltonian preserves inversion symmetry, yet the low-temperature free energy exhibits reduced symmetry. Herein, we demonstrate the emergence of spontaneous symmetry breaking in natural language processing (NLP) models during both pre-training and fine-tuning, even under deterministic dynamics and within a finite training architecture. This phenomenon occurs at the level of individual attention heads and is scaled-down to its small subset of nodes and also valid at a single-nodal level, where nodes acquire the capacity to learn a limited set of tokens after pre-training or labels after fine-tuning for a specific classification task. As the number of nodes increases, a crossover in learning ability occurs, governed by the tradeoff between a decrease following random-guess among increased possible outputs, and enhancement following nodal cooperation, which exceeds the sum of individual nodal capabilities. In contrast to spin-glass systems, where a microscopic state of frozen spins cannot be directly linked to the free-energy minimization goal, each nodal function in this framework contributes explicitly to the global network task and can be upper-bounded using convex hull analysis. Results are demonstrated using BERT-6 architecture pre-trained on Wikipedia dataset and fine-tuned on the FewRel classification task.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"688 ","pages":"Article 131426"},"PeriodicalIF":3.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387079","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}