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We analyze the population dynamics of a broad class of fitness functions that exhibit epochal evolution---a dynamical behavior, commonly observed in both natural and artificial evolutionary processes, in which long periods of stasis in an…

adap-org · Physics 2007-05-23 James P. Crutchfield , Erik van Nimwegen

Different classes of phenomenological universalities of environment dependent growths have been proposed. The logistic as well as environment dependent West-type allometry based biological growth can be explained in this proposed framework…

Chaotic Dynamics · Physics 2014-12-23 Dibyendu Biswas , Swarup Poria

Over the last two decades, it has been argued that the Lorentz transformation mechanism, which imposes the generalization of Newton's classical mechanics into Einstein's special relativity, implies a generalization, or deformation, of the…

Statistics Theory · Mathematics 2022-03-04 G. Kaniadakis

Regardless of studies and debates over a century, the statistical origin of the second law of thermodynamics still remains illusive. One essential obstacle is the lack of a proper theoretical formalism for non-equilibrium entropy. Here I…

Statistical Mechanics · Physics 2017-10-18 Xiangjun Xing

Since its introduction, some sixty years ago, the Montroll-Weiss continuous time random walk has found numerous applications due its ease of use and ability to describe both regular and anomalous diffusion. Yet, despite its broad…

Statistical Mechanics · Physics 2023-09-14 Maxence Arutkin , Shlomi Reuveni

A continuous approximation for the results of [1] is obtained. In this approximation the energy distribution is represented in the form of the product of the Gibbs factor and superstatistics factor. The mutual weights of the factors are…

Chemical Physics · Physics 2007-05-23 V. V. Ryazanov

Verlinde has recently conjectured, via a Beckenstein-like thought experiment, that gravitation, instead of being an elementary force, is an emergent entropic one. This rather surprising conjecture was actually proved in [Physica A {\bf 505}…

General Physics · Physics 2018-12-20 A. Plastino , M. C. Rocca

In this paper we propose the use of concepts from thermodynamics in the study of crowd dynamics. Our continuous model consists of the continuity equation for the density of the crowd and a kinetic equation for the velocity field. The latter…

Analysis of PDEs · Mathematics 2013-05-15 Joep Evers , Adrian Muntean , Fons van de Ven

Social physics is the application of ideas, concepts and tools from physics to study social phenomena. In this article, we present a mechanical theory underlying a mathematical treatment of social physics. We explore the possibility of…

Physics and Society · Physics 2024-02-28 VS Morales-Salgado

Why are human societies unstable? Theories based on the observation of recurring patterns in historical data indicate that economic inequality, as well as social factors are key drivers. So far, models of this phenomenon are more…

Physics and Society · Physics 2025-06-24 Alexander Jochim , Stefan Bornholdt

A new mean field statistical mechanics model of two interacting groups of spins is introduced and the phase transition studied in terms of their relative size. A jump of the average magnetization is found for large values of the mutual…

Physics and Society · Physics 2009-11-13 Pierluigi Contucci , Ignacio Gallo , Giulia Menconi

The social force model which belongs to the microscopic pedestrian studies has been considered as the supremacy by many researchers and due to the main feature of reproducing the self-organized phenomena resulted from pedestrian dynamic.…

Information Theory · Computer Science 2010-08-03 Mohammed Mahmod Shuaib , Zarita Zainuddin , Ibtesam M Abu-Sulyman

This paper provides a new perspective to understand existing controversy on the social force model. These issues include that the social force disobeys Newton 3rd Law, oscillation phenomenon when one agent is approaching another as well as…

Physics and Society · Physics 2021-10-09 Peng Wang , Xiaoda Wang

This study examines the mechanism design problem for public goods provision in a large economy with $n$ independent agents. We propose a class of dominant-strategy incentive compatible and ex-post individually rational mechanisms, which we…

Theoretical Economics · Economics 2023-05-17 Jin Xi , Haitian Xie

We show that generalizations of classical and quantum dynamics with two times lead to fundamentally constrained evolution. At the level of classical physics, Newton's second law is extended and exactly integrated in $1+2$ dimensional space,…

Quantum Physics · Physics 2016-10-05 E. Piceno , A. Rosado , E. Sadurní

Several problems arising in Economics and Finance are analyzed using concepts and quantitative methods from Physics. Here is the abridged abstact: Chapter 1: By analogy with energy, the equilibrium probability distribution of money must…

Statistical Mechanics · Physics 2008-12-10 Adrian A. Dragulescu

The dynamics of technological, economic and social phenomena is controlled by how humans organize their daily tasks in response to both endogenous and exogenous stimulations. Queueing theory is believed to provide a generic answer to…

Physics and Society · Physics 2013-05-29 Thomas Maillart , Didier Sornette , Stefan Frei , Thomas Duebendorfer , Alexander Saichev

We propose in this work a kinetic wealth-exchange model of economic growth by introducing saving as a non consumed fraction of production. In this new model, which starts also from microeconomic arguments, it is found that economic…

General Finance · Quantitative Finance 2019-03-07 D. S. Quevedo , C. J. Quimbay

Verlinde's heuristic argument for the interpretation of the standard Newtonian gravitational force as an entropic force is generalized by the introduction of a minimum temperature (or maximum wave length) for the microscopic degrees of…

High Energy Physics - Theory · Physics 2015-05-27 F. R. Klinkhamer , M. Kopp

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

General Finance · Quantitative Finance 2017-05-03 M. L. Bertotti , G. Modanese
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