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The well-known Isothermal Theorem was introduced in a Nature Communications article in 2005 and has since contributed to the creation of the rich field of evolutionary graph theory. The theorem states under which conditions certain…

Probability · Mathematics 2024-09-12 Peter Keller , Mert Ugurlu

Social networks amplify inequalities due to fundamental mechanisms of social tie formation such as homophily and triadic closure. These forces sharpen social segregation reflected in network fragmentation. Yet, little is known about what…

Why is thermalisation a universal phenomenon? How does a quantum system reach thermodynamical equilibrium? These questions are not new, dating even from the very birth of quantum theory and have been the subject of a renewed interest over…

Quantum Physics · Physics 2015-11-05 Grégoire Ithier , Florent Benaych-Georges

Understanding of evolutionary mechanism of online social networks is greatly significant for the development of network science. However, present researches on evolutionary mechanism of online social networks are neither deep nor clear…

Physics and Society · Physics 2018-08-01 Bin Zhou , Xiao-Yong Yan , Xiao-Ke Xu , Xiao-Ting Xu , Nianxin Wang

Recently several authors have proposed stochastic evolutionary models for the growth of complex networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get…

Physics and Society · Physics 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

Based on interactions between individuals and others and references to social norms, this study reveals the impact of heterogeneity in time preference on wealth distribution and inequality. We present a novel approach that connects the…

General Economics · Economics 2024-02-15 Takeshi Kato

The spreading of Covid-19 pandemic has highlighted the close link between economics and health in the context of emergency management. A widespread vaccination campaign is considered the main tool to contain the economic consequences. This…

Physics and Society · Physics 2022-02-09 Emanuele Bernardi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

A phenomenological model describing the time-frequency dependence of the power spectrum of thin plates vibrating in a wave turbulence regime, is introduced. The model equation contains as basic solutions the Rayleigh-Jeans equipartition of…

Statistical Mechanics · Physics 2017-09-29 T. Humbert , C. Josserand , C. Touzé , O. Cadot

The spectrally truncated, or finite dimensional, versions of several equations of inviscid flows display transient solutions which match their viscous counterparts, but which eventually lead to thermalized states in which energy is in…

Fluid Dynamics · Physics 2018-04-06 P. Clark di Leoni , P. D. Mininni , M. -E. Brachet

Asset exchange models (AEMs) provide a physics-inspired framework for studying wealth formation. These models capture wealth distribution dynamics via pairwise money exchanges, yielding steady-state distributions from exponential to…

Physics and Society · Physics 2025-09-30 Joel Wagner , Siew Ann Cheong , Viola Priesemann

Optical thermodynamics has recently emerged as a theoretical framework describing a Rayleigh-Jeans (RJ) modal power distribution of multimoded nonlinear photonic circuits. However, its applicability is constrained to systems exhibiting weak…

Pattern Formation and Solitons · Physics 2026-03-31 Emily Kabat , Shrohan Mohapatra , P. G. Kevrekidis , Tsampikos Kottos

The "Money Exchange Model" is a type of agent-based simulation model used to study how wealth distribution and inequality evolve through monetary exchanges between individuals. The primary focus of this model is to identify the limiting…

Probability · Mathematics 2025-01-07 Hironobu Sakagawa

Social contagion has been studied in various contexts. Many instances of social contagion can be modeled as an infection process where a specific state (adoption of product, fad, knowledge, behavior, etc.) spreads from individual to…

Social and Information Networks · Computer Science 2014-07-01 Hiroki Sayama

Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices. In this work we study diffusion processes defined on such…

Statistical Mechanics · Physics 2009-10-31 S. Jespersen , I. M. Sokolov , A. Blumen

The study takes the social media industry as its research subject and examines the impact of scientific innovation capabilities on profit distribution within the value chain of the social media industry. It proposes a specific solution to…

Theoretical Economics · Economics 2024-12-25 Jianfei Xu , Rui Zhang , Junhui Fan

This study investigates the emergence of power-law and other concentrated distributions through a feedback loop model in crowd interactions. Agents act by their response functions to observations and external forces, while observations…

General Economics · Economics 2024-12-18 Jake J. Xia

Phase change energy storage is getting increasing attention as a representative technology to achieve carbon neutrality. The phase change process exists typical phenomenon of asymmetry that affects the energy storage performance. However,…

Fluid Dynamics · Physics 2022-03-16 Xuchen Ying , Weijia Huang , Wenhua Liu , Guiliang Liu , Mo Yang

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

Various multi-agent models of wealth distributions defined by microscopic laws regulating the trades, with or without a saving criterion, are reviewed. We discuss and clarify the equilibrium properties of the model with constant global…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Kimmo Kaski , Guido Germano

In the so-called ``fair'' models of peer-to-peer wealth exchanges, economic inequality tends to reach its maximum value asymptotically. This global trend is evident as the richest continuously accumulate a larger share of wealth at the…

Physics and Society · Physics 2023-08-22 Thiago Dias , Sebastián Gonçalves