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Computational and Statistical Physics Approaches for Complex Systems and Social Phenomena II

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".

Deadline for manuscript submissions: closed (31 January 2023) | Viewed by 7896

Special Issue Editor

Special Issue Information

Dear Colleagues,

Since the 1980s, methods in statistical physics have been used in various domains other than physics, such as biology and neuroscience. They are also used nowadays in social sciences such as politics, economics, and sociology [1-6]. Computational methods, which have been widely developed in physics and mathematics thanks to the extremely rapid increase of computer capacity, contribute a great deal to the study of properties of the so-called complex systems [4-7]. Complex systems do not mean only systems with complicated interactions in physics but also refer to . The word “complex systems” is used as a broad term to describe problems that need to be addressed using interdisciplinary approaches. This includes climate systems, the human brain, social conflicts, and economic issues. The interdisciplinary approaches are borrowed from statistical physics, information theory, nonlinear dynamics, sociology, economics, and biology. Novel phenomena, such as self-organized entities, adaptation, feedback loops, spontaneous order, emergence, and nonlinearity, are a few of the striking features. 

This Special Issue focuses on investigations of complex systems using methods from statistical physics and computer simulations. Statistical physics is found to be a very efficient tool to study the behavior of human individuals in society, provided the relevant interactions between them differ from those between particles (see, for example, discussions in [4-6]).   In addition, the interpretation of physical parameters in terms of human behavior is also a challenge to be address in the near future. 

The domain of complex systems is currently in the limelight, with the 2021 Nobel Prize in Physics awarded to Profs. Giorgio Parisi, Suykuro Manabe, and Klaus Hasselmann, for their “groundbreaking contributions to our understanding of complex systems”.

We invite contributions to this Special Issue from researchers who study complex systems through the use of statistical physics and computational methods such as Monte Carlo simulation. Contributions may be original papers or reviews.

Prof. Dr. Hung T. Diep
Guest Editor

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Related Special Issue

Published Papers (3 papers)

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24 pages, 7493 KiB  
Article
Fractal Geometric Model for Statistical Intermittency Phenomenon
by Walid Tarraf, Diogo Queiros-Condé, Patrick Ribeiro and Rafik Absi
Entropy 2023, 25(5), 749; https://doi.org/10.3390/e25050749 - 3 May 2023
Viewed by 2224
Abstract
The phenomenon of intermittency has remained a theoretical concept without any attempts to approach it geometrically with the use of a simple visualization. In this paper, a particular geometric model of point clustering approaching the Cantor shape in 2D, with a symmetry scale [...] Read more.
The phenomenon of intermittency has remained a theoretical concept without any attempts to approach it geometrically with the use of a simple visualization. In this paper, a particular geometric model of point clustering approaching the Cantor shape in 2D, with a symmetry scale θ being an intermittency parameter, is proposed. To verify its ability to describe intermittency, to this model, we applied the entropic skin theory concept. This allowed us to obtain a conceptual validation. We observed that the intermittency phenomenon in our model was adequately described with the multiscale dynamics proposed by the entropic skin theory, coupling the fluctuation levels that extended between two extremes: the bulk and the crest. We calculated the reversibility efficiency γ with two different methods: statistical and geometrical analyses. Both efficiency values, γstat and γgeo, showed equality with a low relative error margin, which actually validated our suggested fractal model for intermittency. In addition, we applied the extended self-similarity (E.S.S.) to the model. This highlighted the intermittency phenomenon as a deviation from the homogeneity assumed by Kolmogorov in turbulence. Full article
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13 pages, 2170 KiB  
Article
Modelling Asymmetric Unemployment Dynamics: The Logarithmic-Harmonic Potential Approach
by Cho-Hoi Hui, Chi-Fai Lo and Ho-Yan Ip
Entropy 2022, 24(3), 400; https://doi.org/10.3390/e24030400 - 13 Mar 2022
Cited by 3 | Viewed by 1896
Abstract
Asymmetric behaviour has been documented in unemployment rates which increase quickly in recessions but decline relatively slowly during expansions. To model such asymmetric dynamics, this paper provides a rigorous derivation of the asymmetric mean-reverting fundamental dynamics governing the unemployment rate based on a [...] Read more.
Asymmetric behaviour has been documented in unemployment rates which increase quickly in recessions but decline relatively slowly during expansions. To model such asymmetric dynamics, this paper provides a rigorous derivation of the asymmetric mean-reverting fundamental dynamics governing the unemployment rate based on a model of a simple labour supply and demand (fundamental) relationship, and shows that the fundamental dynamics is a unique choice following the Rayleigh process. By analogy, such a fundamental can be considered as a one-dimensional overdamped Brownian particle moving in a logarithmic–harmonic potential well, and a simple prototype of stochastic heat engines. The solution of the model equation illustrates that the unemployment rate rises faster with more flattened potential well of the fundamental, more ample labour supply, and less anchored expectation of the unemployment rate, suggesting asymmetric unemployment rate dynamics in recessions and expansions. We perform explicit calibration of both the unemployment rate and fundamental dynamics, confirming the validity of our model for the fundamental dynamics. Full article
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7 pages, 249 KiB  
Opinion
Entropy, Economics, and Criticality
by Michael S. Harré
Entropy 2022, 24(2), 210; https://doi.org/10.3390/e24020210 - 28 Jan 2022
Cited by 3 | Viewed by 3037
Abstract
Information theory is a well-established method for the study of many phenomena and more than 70 years after Claude Shannon first described it in A Mathematical Theory of Communication it has been extended well beyond Shannon’s initial vision. It is now an interdisciplinary [...] Read more.
Information theory is a well-established method for the study of many phenomena and more than 70 years after Claude Shannon first described it in A Mathematical Theory of Communication it has been extended well beyond Shannon’s initial vision. It is now an interdisciplinary tool that is used from ‘causal’ information flow to inferring complex computational processes and it is common to see it play an important role in fields as diverse as neuroscience, artificial intelligence, quantum mechanics, and astrophysics. In this article, I provide a selective review of a specific aspect of information theory that has received less attention than many of the others: as a tool for understanding, modelling, and detecting non-linear phenomena in finance and economics. Although some progress has been made in this area, it is still an under-developed area that I argue has considerable scope for further development. Full article
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