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Evolutionary dynamics of multiplayer ultimatum games on hypergraphs. 超图上多人最后通牒博弈的演化动力学。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054305
Meng Gao, Zhi Li, Te Wu, Long Wang
{"title":"Evolutionary dynamics of multiplayer ultimatum games on hypergraphs.","authors":"Meng Gao, Zhi Li, Te Wu, Long Wang","doi":"10.1103/PhysRevE.111.054305","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054305","url":null,"abstract":"<p><p>Fairness plays a key role in collective decision-making such as international trade, burden sharing in global climate change, and prey allocation after hunting. The two-player ultimatum game has facilitated a large body of research on fair behavior. But multiplayer group interactions, group decision rules, and their effects on the evolution of fair behavior remain largely unexplored. We aim to study the evolutionary dynamics of collective resource allocation interactions, and recently advanced hypergraphs can efficiently describe the group interaction relationships. Each hyperlink represents a group and the members participate in multiplayer ultimatum games. Each member acts as proposer one time, and accordingly, all other members act as responders. For one game, when all responders agree upon the proposer's scheme, the scheme succeeds and all members accrue payoffs; otherwise, the scheme fails and no payoff is produced. First, we use adaptive dynamics to demonstrate that the strategy evolves toward rational and unfair solutions for uniform random hypergraphs. However, by incorporating empathy into decision-making, the population is stabilized with fair allocation schemes. Increasing the order of uniform random hypergraphs generally promotes group fairness as long as the group size is not too large. This enhancing effect is further reinforced on heterogeneous hypergraphs, where individuals with higher degrees play a leading role in strategy propagation and thus hold sway over the population dynamics. Our work enriches the literature on the evolutionary dynamics of multiplayer ultimatum games in structured populations.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054305"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327298","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}
引用次数: 0
Analyzing diffusion-limited processes in a cylinder using pair-correlation functions. 用对相关函数分析圆柱体中的扩散限制过程。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054106
Benjamin James Binder
{"title":"Analyzing diffusion-limited processes in a cylinder using pair-correlation functions.","authors":"Benjamin James Binder","doi":"10.1103/PhysRevE.111.054106","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054106","url":null,"abstract":"<p><p>Diffusion-limited processes (DLP) are found in various physical, biological, and engineering systems, yet their quantification within complex spatial domains remains a challenge. In this study, we develop one-dimensional nonperiodic and periodic pair-correlation functions (PCF) to assess the spatial patterns of DLP within a cylindrical domain. By refining previous PCF formulations, we introduce an efficient binning-based approach that significantly reduces computational costs, making the method feasible for large-scale simulations. Our analysis provides a comprehensive examination of PCF variability, distinguishing between global deviations from complete spatial randomness state and sampling-induced variation. An off-lattice agent-based model is implemented, successfully reproducing self-organized patterns reminiscent of classical DLP studies and aligning with fractal-like aggregation behaviors. We demonstrate the utility of periodic PCFs in capturing key spatial correlations in DLP, particularly in azimuthal and Cartesian projections, while highlighting the conditions under which nonperiodic PCFs remain preferable. Our findings underscore the potential of PCFs as robust summary statistics for complex spatial models, with applications ranging from microbial colony formation and blood clotting dynamics to image analysis and classification algorithms.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054106"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327324","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}
引用次数: 0
Traveling bubbles and vortex pairs within symmetric two-dimensional quantum droplets. 对称二维量子液滴内的运动气泡和涡旋对。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054217
Angel Paredes, Jose Guerra-Carmenate, Jose R Salgueiro, Daniele Tommasini, Humberto Michinel
{"title":"Traveling bubbles and vortex pairs within symmetric two-dimensional quantum droplets.","authors":"Angel Paredes, Jose Guerra-Carmenate, Jose R Salgueiro, Daniele Tommasini, Humberto Michinel","doi":"10.1103/PhysRevE.111.054217","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054217","url":null,"abstract":"<p><p>We disclose a class of stable nonlinear traveling waves moving at specific constant velocities within symmetric two-dimensional quantum droplets. We present a comprehensive analysis of these traveling bubbles and identify three qualitatively distinct regions within the one-parameter family of solutions, classified by velocity: (i) well-separated phase singularities at low velocity, (ii) singularities within the same density dip at intermediate velocity, and (iii) rarefaction pulses without singularities at higher (subsonic) velocities. Then, we generalize the discussion to unstable cases, incorporating higher-order vortex-antivortex pairs and arrays of vortices that move cohesively with a common velocity within the fluid. In all cases, we provide analytic approximations that aid the understanding of the results in different regimes.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054217"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327343","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}
引用次数: 0
Lower bound of entropy production in an underdamped Langevin system with normal distributions. 具有正态分布的欠阻尼朗格万系统熵产的下界。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054139
Futa Watabe, Koji Okuda
{"title":"Lower bound of entropy production in an underdamped Langevin system with normal distributions.","authors":"Futa Watabe, Koji Okuda","doi":"10.1103/PhysRevE.111.054139","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054139","url":null,"abstract":"<p><p>We study the lower bound of the entropy production in a one-dimensional underdamped Langevin system constrained by a time-dependent parabolic potential. We focus on minimizing the entropy production during transitions from a given initial distribution to a given final distribution taking a given finite time. We derive the conditions for achieving the minimum entropy production for the processes with normal distributions, using the evolution equations of the mean and covariance matrix to determine the optimal control protocols for stiffness and center of the potential. Our findings reveal that not all covariance matrices can be given as the initial and final conditions due to the limitations of the control protocol. This study extends existing knowledge of the overdamped systems to the underdamped systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054139"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327352","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}
引用次数: 0
Mutual information for a particle pair and its application to diagnose chaos in curved spacetime. 粒子对互信息及其在弯曲时空混沌诊断中的应用。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054207
Wenfu Cao, Yang Huang, Hongsheng Zhang
{"title":"Mutual information for a particle pair and its application to diagnose chaos in curved spacetime.","authors":"Wenfu Cao, Yang Huang, Hongsheng Zhang","doi":"10.1103/PhysRevE.111.054207","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054207","url":null,"abstract":"<p><p>We propose the concept of mutual information for particle pair (MIPP) in curved spacetime, and show that MIPP has potential to be a proper chaos indicator. We tested this method in the Schwarzschild and Kerr spacetime and compared it with the fast Lyapunov indicator. The results show that the MIPP effectively identify orbital states and demonstrate prominent performance in recognizing transitions between orbital states. Our result show that information theory is helpful to deepen our understanding of dynamics of few-body system significantly.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054207"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327358","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}
引用次数: 0
Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas. 非平衡量子热化学发动机与一维玻色气体。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054133
Vijit V Nautiyal
{"title":"Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas.","authors":"Vijit V Nautiyal","doi":"10.1103/PhysRevE.111.054133","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054133","url":null,"abstract":"<p><p>We theoretically investigate the finite-time performance of a quantum thermochemical engine utilizing a harmonically trapped one-dimensional (1D) Bose gas in the quasicondensate regime as the working fluid. The proposed engine operates in an Otto cycle, where the unitary work strokes are simulated through a quench of the interatomic interactions of the 1D Bose gas. In the work strokes, the working fluid is treated as a closed quantum many-body system that undergoes dynamic evolution, beginning from an initial thermal equilibrium state at a nonzero temperature. On the other hand, during the thermalization strokes, the working fluid is treated as an open many-body quantum system in diffusive contact with a thermal reservoir, allowing particle exchange alongside the transfer of heat. Using a c-field approach, we demonstrate that the engine's operation is enabled by the chemical work done on the working fluid through the flow of particles from the hot reservoir. We examine the finite-time performance of the proposed quantum thermochemical engine in two extreme regimes: (i) the out-of-equilibrium regime (sudden quench), which yields near-maximum power (due to fast driving of the system) while compromising efficiency, and (ii) the quasistatic (near-adiabatic) limit, which approaches maximum efficiency but generates zero power output due to slow driving of the system. Notably, we show that using chemical work allows the engine to achieve efficiencies close to the near-maximum (quasistatic) limit, even in the out-of-equilibrium regime, while maintaining high power output. Thus, in the out-of-equilibrium operational regime, our proposed engine provides a favorable trade-off between efficiency and power output. We also draw connections to previous research, particularly the case of an adiabatic engine cycle operating at zero temperature. We show that this zero-temperature scenario establishes an upper bound on the efficiency and work of our proposed thermochemical engine operating at nonzero temperatures.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054133"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327366","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}
引用次数: 0
Phase transitions and symmetry breaking of cooperation on lattices. 晶格上合作的相变与对称破缺。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054308
Christoph Hauert, György Szabó
{"title":"Phase transitions and symmetry breaking of cooperation on lattices.","authors":"Christoph Hauert, György Szabó","doi":"10.1103/PhysRevE.111.054308","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054308","url":null,"abstract":"<p><p>The donation game is an instance of a social dilemma with a single parameter given by the cost-to-benefit ratio of cooperation, r. In spatial settings, limited local interactions and clustering are capable of supporting cooperation by reducing exploitation from defectors. Traditionally, the interaction and competition neighborhoods are identical. Here we discuss intriguing differences in the dynamics that arise when separating the neighborhoods. On the square lattice, disjoint interaction and competition neighborhoods are easily realized by considering nearest-neighbor interactions and second-nearest-neighbor competition. Incidentally, the number of first and second neighbors is the same. More importantly, this separates the population into two competing subpopulations, with interactions solely between subpopulations but competition within subpopulations. For negative cost-to-benefit ratios, r, the donation game turns into a harmony game, and defection becomes an act of spite. In the traditional setup, the extinction of cooperators under harsh conditions, large r, and that of spiteful defectors, r<0, exhibits critical phase transitions with characteristics of directed percolation. In contrast, with two subpopulations spiteful behavior cannot persist, while the extinction of cooperators exhibits the same characteristics. Most intriguingly, however, for smaller r spontaneous symmetry breaking in the levels of cooperation between the two subpopulations is observed. The symmetry breaking resembles the sublattice ordering occurring in the antiferromagnetic Ising model. Within the twofold-degenerate phases, decreasing the cost-to-benefit ratio induces extremely large fluctuations (bursts) in the frequencies of cooperation. These bursts eventually drive the system into one of the absorbing states: occasionally homogeneous defection in both sublattices, but usually only in one and homogeneous cooperation in the other, achieving perfect asymmetry.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054308"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327368","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}
引用次数: 0
Popularity-driven random walks on a class of scale-free graphs. 一类无标度图上受欢迎程度驱动的随机漫步。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054303
Simone Santini
{"title":"Popularity-driven random walks on a class of scale-free graphs.","authors":"Simone Santini","doi":"10.1103/PhysRevE.111.054303","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054303","url":null,"abstract":"<p><p>This paper introduces a class of random walks on graphs in which the probability of moving from a vertex u to one of its neighbors v is proportional to d_{v}^{α}, where d_{v} is the degree of v and α a parameter that characterizes the walk. We derive the stationary distribution of the walks and study their expected behavior in the class of Barabasi-Albert random graphs. We find that the fastest exploration of the graph is for α<0, that is, when there is a bias towards neighbors of low degree. This bias balances the bias of the degree distribution, leading to a uniform probability of being on a given vertex at a given time, thus leading to a faster exploration.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054303"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327371","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}
引用次数: 0
Two-dimensional Potts model with invisible states on a square lattice. 方形晶格上不可见状态的二维波茨模型。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054131
Jae Hwan Lee, Wanki Park, Jin Min Kim
{"title":"Two-dimensional Potts model with invisible states on a square lattice.","authors":"Jae Hwan Lee, Wanki Park, Jin Min Kim","doi":"10.1103/PhysRevE.111.054131","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054131","url":null,"abstract":"<p><p>We study the two-dimensional (q+r)-state ferromagnetic Potts model with q interacting visible states and r noninteracting invisible states on a square lattice. We concentrate on the case q=2 for various r values. The density of states is obtained by the Wang-Landau Monte Carlo simulation method, by which the specific heat, the partition function zeros, and the probability distribution of the internal energy are calculated. There exists a second-order phase transition for r<r_{c}, while a first-order phase transition appears for r>r_{c}, where r_{c} is the critical value. From all analyses, we conclude that r_{c}≈29 for q=2. Calculating the density of visible spins using the Metropolis algorithm, we find that the first-order phase transition is due to the abrupt density change of the visible spins. The critical temperatures are measured to compare with a conjecture.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054131"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327393","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}
引用次数: 0
Typicality from concentration of measure in models with binary state variables. 二元状态变量模型中度量浓度的典型性。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054118
Nicolás Nessi
{"title":"Typicality from concentration of measure in models with binary state variables.","authors":"Nicolás Nessi","doi":"10.1103/PhysRevE.111.054118","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054118","url":null,"abstract":"<p><p>We study the emergence of typicality in classical systems with a large number of binary state variables. We show analytically that for sufficiently large subsets of the complete state space, state functions which can be associated with macroscopic observables, such as density or energy, are sharply concentrated around a typical value, i.e., the vast majority of microscopic states show the same macroscopic behavior. From this static typicality result we obtain the dynamical counterpart, which states that if two initial conditions are drawn from a sufficiently large subset of the state space, the dynamical trajectories of the macroscopic observables would be approximately the same, provided that the dynamics does not abruptly compress the size of sets of states under evolution. The ensuing dynamical typicality phenomenon is very similar to what was recently found in the context of the dynamics of isolated quantum systems. We illustrate and apply our analytical results by analyzing one-dimensional cellular automata.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054118"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327394","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}
引用次数: 0
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