Statistical Physics and Complex Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (31 May 2023) | Viewed by 1834

Special Issue Editor


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Guest Editor
Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel
Interests: collective behavior; non-equilibrium thermodynamics; pattern formation
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Special Issue Information

Dear Colleagues,

Statistical physics deals with systems that are composed of many interacting degrees of freedom. Starting from microscopic models, it can describe and predict emergent behavior at a macroscopic scale. Therefore, it is no surprise that statistical physics has been one of the most effective modeling tools for studying complex systems. Complex systems and phenomena are ubiquitous. They can span multiple length scales from non-trivial topological features in large-scale networks to collective phenomena at the microscopic scale. The salient features of complex systems include numerous interacting parts and the ability to self-organize without centralized control, which often results in properties greater than the sum of its parts. This Special Issue aims to gather articles reflecting the latest developments in the broad area of complex systems and elucidate the discipline's future course. Original research papers with an interdisciplinary focus are particularly encouraged. Authoritative review articles that describe the present state of the art are also welcome.

Dr. Atanu Chatterjee
Guest Editor

Manuscript Submission Information

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Keywords

  • complex systems
  • statistical physics
  • self-organization
  • complex networks
  • pattern formation
  • dynamical systems
  • non-equilibrium thermodynamics

Published Papers (1 paper)

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12 pages, 324 KiB  
Article
Thermodynamic Definition of Time: Considerations on the EPR Paradox
by Umberto Lucia and Giulia Grisolia
Mathematics 2022, 10(15), 2711; https://doi.org/10.3390/math10152711 - 31 Jul 2022
Viewed by 1380
Abstract
Causality is the relationship between causes and effects. Following Relativity, any cause of an event must always be in the past light cone of the event itself, but causes and effects must always be related to some interactions. In this paper, causality is [...] Read more.
Causality is the relationship between causes and effects. Following Relativity, any cause of an event must always be in the past light cone of the event itself, but causes and effects must always be related to some interactions. In this paper, causality is developed as a consequence of the analysis of the Einstein, Podolsky, and Rosen paradox. Causality is interpreted as the result of time generation, due to irreversible interactions of real systems among them. Time results as a consequence of irreversibility; so, any state function of a system in its space cone, when affected by an interaction with an observer, moves into a light cone or within it, with the consequence that any cause must precede its effect in a common light cone. Full article
(This article belongs to the Special Issue Statistical Physics and Complex Systems)
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