English

Better than counting: Density profiles from force sampling

Soft Condensed Matter 2018-11-07 v2 Computational Physics

Abstract

Calculating one-body density profiles in equilibrium via particle-based simulation methods involves counting of events of particle occurrences at (histogram-resolved) space points. Here we investigate an alternative method based on a histogram of the local force density. Via an exact sum rule the density profile is obtained with a simple spatial integration. The method circumvents the inherent ideal gas fluctuations. We have tested the method in Monte Carlo, Brownian Dynamics and Molecular Dynamics simulations. The results carry a statistical uncertainty smaller than that of the standard, counting, method, reducing therefore the computation time.

Keywords

Cite

@article{arxiv.1711.00006,
  title  = {Better than counting: Density profiles from force sampling},
  author = {Daniel de las Heras and Matthias Schmidt},
  journal= {arXiv preprint arXiv:1711.00006},
  year   = {2018}
}
R2 v1 2026-06-22T22:31:59.780Z