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In a social group its members are caled here agents. Any two agents from the group may interact. The interaction consists of the exchange of information and it costs some energy. There exist subgroups of interacting agents which are…

统计力学 · 物理学 2021-08-19 Ondrej Hudak , Jana Tothova

In the present chapter we study the emergence of global patterns in large groups in first and second-order multi-agent systems, focusing on two ingredients that influence the dynamics: the interaction network and the state space. The state…

There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interconnections, however, remain mostly vague, which…

动力系统 · 数学 2023-04-27 Yuri Kozitsky , Krzysztof Pilorz

The model of Fermi particles with random two-body interaction is investigated. This model allows to study the origin and accuracy of statistical laws in few-body systems, the role of interaction and chaos in thermalization, Fermi-Dirac…

凝聚态物理 · 物理学 2009-10-28 V. V. Flambaum , F. M. Izrailev , G. Casati

Social free energy has been recently introduced as a measure of social action obtainable in a given social system, without changes in its structure. The authors of this paper argue that social free energy surpasses the gap between the…

统计力学 · 物理学 2009-11-10 Josip Kasac , Hrvoje Stefancic , Josip Stepanic

Opinion dynamics models describe the evolution of behavioral changes within social networks and are essential for informing strategies aimed at fostering positive collective changes, such as climate action initiatives. When applied to…

物理与社会 · 物理学 2025-05-07 Alessia Antelmi , Carmine Spagnuolo , Luca Maria Aiello

Armed conflict data display scaling and universal dynamics in both social and physical properties like fatalities and geographic extent. We propose a randomly branching, armed-conflict model that relates multiple properties to one another…

The development of stochastic thermodynamics during the last decades prompted the discovery of novel nonequilibrium relations refining our understanding of the second law in small fluctuating systems and its connection with information…

物理与社会 · 物理学 2025-11-19 Luis Irisarri , Lucas Trigal , Raúl Toral , Gonzalo Manzano

A model, applicable to a range of innovation diffusion applications with a strong peer to peer component, is developed and studied, along with methods for its investigation and analysis. A particular application is to individual households…

适应与自组织系统 · 物理学 2019-10-03 Nicholas J. McCullen , Alastair M. Rucklidge , Catherine S. E. Bale , Tim J. Foxon , William F. Gale

The behaviour of a di-nuclear system in the regime of strong pairing correlations is studied with the methods of statistical mechanics. It is shown that the thermal averaging is strong enough to assure the application of thermodynamical…

核理论 · 物理学 2011-02-28 Karl-Heinz Schmidt , Beatriz Jurado

Consider a community where initially, each individual is positive or negative regarding a reform proposal. In each round, individuals gather randomly in fixed rooms of different sizes, and all individuals in a room agree on the majority…

数据结构与算法 · 计算机科学 2019-05-01 Bernd Gärtner , Ahad N. Zehmakan

We build simple models for the distribution of voting patterns in a group, using the Supreme Court of the United States as an example. The least structured, or maximum entropy, model that is consistent with the observed pairwise…

物理与社会 · 物理学 2017-09-30 Edward D. Lee , Chase P. Broedersz , William Bialek

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

概率论 · 数学 2026-05-20 Eliana Fausti , Andreas Sojmark

Social norms can facilitate societal coexistence in groups by providing an implicitly shared set of expectations and behavioral guidelines. However, different social groups can hold different norms, and lacking an overarching normative…

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

物理与社会 · 物理学 2010-10-14 Dirk Helbing , Anders Johansson

We have presented a numerical model of a collective opinion formation procedure to explain political phenomena such as two-party and multi-party systems in politics, political unrest, military coup d'etats and netizen revolutions. Nonlinear…

物理与社会 · 物理学 2009-11-11 Soo Yong Kim , Chung Hyun Park , Kyungsik Kim

The Bures geometry of quantum statistical thermodynamics at thermal equilibrium is investigated by introducing the connections between the Bures angle and the Renyi $1/2$-divergence. Fundamental relations concerning free energy, moments of…

量子物理 · 物理学 2016-12-20 Ali Ü. C. Hardal , Özgür E. Müstecaplıoğlu

The modelling of human crowd behaviors offers many challenging questions to science in general. Specifically, the social human behavior consists of many physiological and psychological processes which are still largely unknown. To model…

物理与社会 · 物理学 2023-10-17 Thi Kim Thoa Thieu , Roderick Melnik

In the age of technology, individuals accelerate their biased gathering of information which in turn leads to a population becoming extreme and more polarized. Here we study a partial differential equation model for opinion dynamics that…

物理与社会 · 物理学 2024-02-08 Christian Koertje , Hiroki Sayama

Human social interaction is often intermittent. Two acquainted persons can have extended periods without social interaction punctuated by periods of repeated interaction. In this case, the repeated interaction can be characterized by a seed…

社会与信息网络 · 计算机科学 2018-03-06 Anders Mollgaard , Joachim Mathiesen