Statistical Mechanics of Lattice Gases

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

2. 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

3. Transport Phenomena and Kinetics

• Diffusion in lattice gases
• Kinetics in lattice gas systems

4. Complex Lattice Gases

• Structured-particle lattice gases
• Lattice gases in porous media and heterogeneous systems
• Complex networks and interconnected systems

5. 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

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