Validity of the Molecular-Dynamics-Lattice-Gas Global Equilibrium Distribution Function

Abstract

The MDLG method establishes a direct link between a lattice-gas method and the coarse-graining of a Molecular Dynamics approach. Due to its connection to Molecular Dynamics, 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.

References in corpus (5)

• Minimal entropic kinetic models for simulating hydrodynamics
• Mode-coupling theory for structural and conformational dynamics of polymer melts
• Integer Lattice Gases
• Lattice Gas with Molecular Dynamics Collision Operator
• Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations

Cited by in corpus (6)

• Large fluctuations in non-ideal coarse-grained systems
• Non-Gaussian distribution of displacements for Lennard-Jones particles in equilibrium
• Over-Relaxation in Diffusive Integer Lattice Gas
• Molecular dynamics lattice gas equilibrium distribution function for Lennard-Jones particles
• Momentum fluctuations in coarse grained systems
• Molecular dynamics perspectives on nonideal fluid models for the lattice Boltzmann method