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Entropy: From Atoms to Complex Systems

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

Deadline for manuscript submissions: 15 September 2025 | Viewed by 1293

Special Issue Editor


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Guest Editor
Department of Physics and Applied Physics, University of Massachusetts Lowell, Lowell, MA 01854, USA
Interests: computational physics; nonequilibrium statistical mechanics and thermodynamics; machine learning

Special Issue Information

Dear Colleagues,

Entropy has proven to be central to understanding the multiple and fascinating behaviors exhibited by systems at equilibrium and out of equilibrium. Several definitions of entropy have been developed, using thermodynamics, statistical physics, and information theory to quantify the degree of order/disorder or randomness of the systems. Moreover, with frameworks such as the fluctuation theorems, we can detect and quantify how far a system is from equilibrium. Entropy production offers a measure of irreversibility but also quantifies dissipation and, thus, efficiency. These developments are particularly important in emergent fields such as self-organization, with the formation of structured forms (crystals, colloidal assemblies, and topological active matter), but also to better understand molecular machines (from proteins to artificial molecular factories). Practically, in the past two decades or so, we have seen a huge increase in computational methods that aim to estimate entropy and entropy production based on Monte Carlo and/or molecular dynamics simulations. Additionally, the use of AI and machine learning techniques has not only sped up calculation but has also helped to design new entropy-based measures, allowing for a deeper characterization of physical systems while also shedding light on the fundamental role of entropy.

Dr. Caroline Desgranges
Guest Editor

Manuscript Submission Information

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Keywords

  • entropy
  • entropy production
  • machine learning
  • Monte Carlo
  • molecular dynamics
  • fluctuation theorems
  • thermodynamics
  • statistical physics

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Published Papers (2 papers)

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Research

20 pages, 539 KiB  
Article
Stochastic Entropy Production for Classical and Quantum Dynamical Systems with Restricted Diffusion
by Jonathan Dexter and Ian J. Ford
Entropy 2025, 27(4), 383; https://doi.org/10.3390/e27040383 - 3 Apr 2025
Viewed by 219
Abstract
Modeling the evolution of a system using stochastic dynamics typically implies increasing subjective uncertainty in the adopted state of the system and its environment as time progresses, and stochastic entropy production has been developed as a measure of this change. In some situations, [...] Read more.
Modeling the evolution of a system using stochastic dynamics typically implies increasing subjective uncertainty in the adopted state of the system and its environment as time progresses, and stochastic entropy production has been developed as a measure of this change. In some situations, the evolution of stochastic entropy production can be described using an Itô process, but mathematical difficulties can emerge if diffusion in the system phase space happens to be restricted to a subspace of a lower dimension. This situation can arise if there are constants of the motion, for example, or more generally when there are functions of the coordinates that evolve without noise. More simply, difficulties can emerge if there are more coordinates than there are independent noises. We show how the problem of computing the stochastic entropy production in such a situation can be overcome. We illustrate the approach using a simple case of diffusion on an ellipse. We go on to consider an open three-level quantum system modeled within a framework of Markovian quantum state diffusion. We show how a nonequilibrium stationary state of the system, with a constant mean rate of stochastic entropy production, can be established under suitable environmental couplings. Full article
(This article belongs to the Special Issue Entropy: From Atoms to Complex Systems)
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17 pages, 1273 KiB  
Article
Anomalous Behavior of the Non-Hermitian Topological System with an Asymmetric Coupling Impurity
by Junjie Wang, Fude Li and Weijun Cheng
Entropy 2025, 27(1), 78; https://doi.org/10.3390/e27010078 - 17 Jan 2025
Viewed by 776
Abstract
A notable feature of systems with non-Hermitian skin effects is the sensitivity to boundary conditions. In this work, we introduce one type of boundary condition provided by a coupling impurity. We consider a system where a two-level system as an impurity couples to [...] Read more.
A notable feature of systems with non-Hermitian skin effects is the sensitivity to boundary conditions. In this work, we introduce one type of boundary condition provided by a coupling impurity. We consider a system where a two-level system as an impurity couples to a nonreciprocal Su–Schrieffer–Heeger chain under periodic boundary conditions at two points with asymmetric couplings. We first study the spectrum of the system and find that asymmetric couplings lead to topological phase transitions. Meanwhile, a striking feature is that the coupling impurity can act as an effective boundary, and asymmetric couplings can also induce a flexibly adjusted zero mode. It is localized at one of the two effective boundaries or both of them by tuning coupling strengths. Moreover, we uncover three types of localization behaviors of eigenstates for this non-Hermitian impurity system with on-site disorder. These results corroborate the potential for control of a class of non-Hermitian systems with coupling impurities. Full article
(This article belongs to the Special Issue Entropy: From Atoms to Complex Systems)
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