Validity of the molecular-dynamics-lattice-gas global equilibrium distribution function

Author:

Parsa M. Reza12,Pachalieva Aleksandra3,Wagner Alexander J.4

Affiliation:

1. Program in Materials and Nanotechnology, North Dakota State University, Fargo, ND 58108, USA

2. Department of Applied Mathematics, University of California, Merced, CA, 95343, USA

3. Department of Mechanical Engineering, Technical University of Munich, 85748 Garching, Germany

4. Department of Physics, North Dakota State University, Fargo, 58108 ND, USA

Abstract

The molecular-dynamics-lattice-gas (MDLG) method establishes a direct link between a lattice-gas method and the coarse-graining of a molecular dynamics (MD) approach. Due to its connection to MD, the MDLG rigorously recovers the hydrodynamics and allows to validate the behavior of the lattice-gas or lattice-Boltzmann methods directly without using the standard kinetic theory approach. In this paper, we show that the analytical definition of the equilibrium distribution function remains valid even for very high volume fractions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Overrelaxation in a diffusive integer lattice gas;Physical Review E;2022-06-13

2. Molecular dynamics lattice gas equilibrium distribution function for Lennard–Jones particles;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2021-08-30

3. Nonuniqueness of fluctuating momentum in coarse-grained systems;Physical Review E;2021-07-09

4. Non-Gaussian distribution of displacements for Lennard-Jones particles in equilibrium;Physical Review E;2020-11-19

5. Large Fluctuations in Nonideal Coarse-Grained Systems;Physical Review Letters;2020-06-08

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