English

Correction of coarse-graining errors by a two-level method: application to the Asakura-Oosawa model

Statistical Mechanics 2020-01-08 v1 Soft Condensed Matter

Abstract

We present a method that exploits self-consistent simulation of coarse-grained and fine-grained models, in order to analyse properties of physical systems. The method uses the coarse-grained model to obtain a first estimate of the quantity of interest, before computing a correction by analysing properties of the fine system. We illustrate the method by applying it to the Asakura-Oosawa (AO) model of colloid-polymer mixtures. We show that the liquid-vapour critical point in that system is affected by three-body interactions which are neglected in the corresponding coarse-grained model. We analyse the size of this effect and the nature of the three-body interactions. We also analyse the accuracy of the method, as a function of the associated computational effort.

Cite

@article{arxiv.1907.07912,
  title  = {Correction of coarse-graining errors by a two-level method: application to the Asakura-Oosawa model},
  author = {Hideki Kobayashi and Paul B. Rohrbach and Robert Scheichl and Nigel B. Wilding and Robert L. Jack},
  journal= {arXiv preprint arXiv:1907.07912},
  year   = {2020}
}

Comments

17 pages

R2 v1 2026-06-23T10:24:02.192Z