A simple time coarse graining method for molecular dynamics simulations of liquids

Fuente: arXiv
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Main Authors: Martin, Maxime, Pereon, Levi, Truong, Quoc Tuan, Teboul, Victor
Format: Preprint
Published: 2025
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author Martin, Maxime
Pereon, Levi
Truong, Quoc Tuan
Teboul, Victor
author_facet Martin, Maxime
Pereon, Levi
Truong, Quoc Tuan
Teboul, Victor
contents Considering molecular dynamic simulations as a stochastic method, we investigate the possibility of time coarse graining the simulations. Similarly to Boltzmann inversion method in spatial coarse graining, which begins with a free energy called potential of mean force, we test the effect of a generalized potential of mean force that uses the distinct part of the Van Hove correlation function with a characteristic time different from zero. We show that the method is approximately equivalent to replace the hard core of the original potential by a smooth harmonic function. We then compare the results of simulations using the modified potential and the original one. Results show that this simple modification of the potential, namely replacing the short range wall with a smooth quadratic law, leads to a shift in the time step resulting in the same dynamics than the original potential function but with a much larger time step.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16785
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A simple time coarse graining method for molecular dynamics simulations of liquids
Martin, Maxime
Pereon, Levi
Truong, Quoc Tuan
Teboul, Victor
Soft Condensed Matter
Statistical Mechanics
Considering molecular dynamic simulations as a stochastic method, we investigate the possibility of time coarse graining the simulations. Similarly to Boltzmann inversion method in spatial coarse graining, which begins with a free energy called potential of mean force, we test the effect of a generalized potential of mean force that uses the distinct part of the Van Hove correlation function with a characteristic time different from zero. We show that the method is approximately equivalent to replace the hard core of the original potential by a smooth harmonic function. We then compare the results of simulations using the modified potential and the original one. Results show that this simple modification of the potential, namely replacing the short range wall with a smooth quadratic law, leads to a shift in the time step resulting in the same dynamics than the original potential function but with a much larger time step.
title A simple time coarse graining method for molecular dynamics simulations of liquids
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2509.16785