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Statistical Mechanics of Lattice Gases

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

Deadline for manuscript submissions: 15 July 2025 | Viewed by 1379

Special Issue Editors


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Guest Editor
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de Los Andes 950, San Luis D5700BWS, Argentina
Interests: statistical thermodynamics; surface phase transitions; lattice-gas models; multisite-occupancy adsorption; Monte Carlo simulations

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Guest Editor
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de Los Andes 950, San Luis D5700BWS, Argentina
Interests: statistical physics; exclusion statistics; adsorption thermodynamics; surface diffusion; Monte Carlo simulations

Special Issue Information

Dear Colleagues,

Lattice gases in classical statistical mechanics is a fascinating and powerful tool for modeling physical systems. Its underlying simplicity presents major theoretical challenges in developing analytical solutions for the thermodynamic functions when particles are structured because their size, form, and composition and differ from ideal. Entropy dependence on density plays a determinant role in the phase behavior of complex lattice gases. The field, far from being only of historical interest, has become of increasing interest due to its fundamental importance, as well as for applications within physical chemistry, biology, material science, and, more recently, quantum computing. Similarly daring become the field of statistical simulations to represent statistical ensembles of particles on strongly correlated states leading to significantly rich phase changes. In regard to quantum lattice gases, its importance as a prototype model of strongly correlated many-body systems for quantum computing as well as the realization of statistics of fractional-like quasi-particles in two dimensions is currently of major fundamental and technological importance. In addition, these theoretical developments in novel quantum statistics find applications in classical systems counterparts helping to understand their thermodynamics from new perspectives. The aim of this Special Issue is to present a number of reviewing and inspiring papers on these issues concerning the analytical treatment and simulation of equilibrium, phase behavior and kinetics of complex classical lattice gases either in classical as well as in quantum model systems.

The topics of interest for this Special Issue include the following:

  1. Fundamentals of Lattice Gases
  • Equilibrium and non-equilibrium properties
  • Simulations techniques
  1. Equilibrium Thermodynamics, Phase Transitions, and Critical Phenomena
  • Phase transitions and universality classes
  • Critical phenomena and scaling behavior
  • Applications of lattice gases in modeling phase transitions
  1. Transport Phenomena and Kinetics
  • Diffusion in lattice gases
  • Kinetics in lattice gas systems
  1. Complex Lattice Gases
  • Structured-particle lattice gases
  • Lattice gases in porous media and heterogeneous systems
  • Complex networks and interconnected systems
  1. Quantum Lattice Gases
  • Theoretical frameworks
  • Phase transitions and quantum phenomena in lattice gas models
  • Quantum simulation techniques and applications

Contributing authors may select a topic and subtopic of the general proposed index related to their papers. Eventually, authors may suggest alternative or additional subtopics into which their work would fit better.

Prof. Dr. Antonio J. Ramirez-Pastor
Prof. Dr. Jose Luis Riccardo
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fundamentals of lattice gases
  • equilibrium thermodynamics
  • adsorption
  • phase transitions and critical phenomena
  • transport phenomena and kinetics
  • surface diffusion
  • lattice gases in complex systems
  • quantum lattice gases

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Published Papers (1 paper)

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Review

27 pages, 2723 KiB  
Review
Phase Stability and Transitions in High-Entropy Alloys: Insights from Lattice Gas Models, Computational Simulations, and Experimental Validation
by Łukasz Łach
Entropy 2025, 27(5), 464; https://doi.org/10.3390/e27050464 - 25 Apr 2025
Viewed by 141
Abstract
High-entropy alloys (HEAs) are a novel class of metallic materials composed of five or more principal elements in near-equimolar ratios. This unconventional composition leads to high configurational entropy, which promotes the formation of solid solution phases with enhanced mechanical properties, thermal stability, and [...] Read more.
High-entropy alloys (HEAs) are a novel class of metallic materials composed of five or more principal elements in near-equimolar ratios. This unconventional composition leads to high configurational entropy, which promotes the formation of solid solution phases with enhanced mechanical properties, thermal stability, and corrosion resistance. Phase stability plays a critical role in determining their structural integrity and performance. This study provides a focused review of HEA phase transitions, emphasizing the role of lattice gas models in predicting phase behavior. By integrating statistical mechanics with thermodynamic principles, lattice gas models enable accurate modeling of atomic interactions, phase segregation, and order-disorder transformations. The combination of computational simulations (e.g., Monte Carlo, molecular dynamics) with experimental validation (e.g., XRD, TEM, APT) improves predictive accuracy. Furthermore, advances in data-driven methodologies facilitate high-throughput exploration of HEA compositions, accelerating the discovery of alloys with optimized phase stability and superior mechanical performance. Beyond structural applications, HEAs demonstrate potential in functional domains, such as catalysis, hydrogen storage, and energy technologies. This review brings together theoretical modeling—particularly lattice gas approaches—and experimental validation to form a unified understanding of phase behavior in high-entropy alloys. By highlighting the mechanisms behind phase transitions and their implications for material performance, this work aims to support the design and optimization of HEAs for real-world applications in aerospace, energy systems, and structural materials engineering. Full article
(This article belongs to the Special Issue Statistical Mechanics of Lattice Gases)
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