English

Brownian dynamics simulations of hard rods in external fields and with contact interactions

Statistical Mechanics 2022-11-16 v2 Computational Physics

Abstract

We propose a simulation method for Brownian dynamics of hard rods in one dimension for arbitrary continuous external force fields. It is an event-driven procedure based on the fragmentation and mergers of clusters formed by particles in contact. It allows one to treat particle interactions in addition to the hard-sphere exclusion as long as the corresponding interaction forces are continuous functions of the particle coordinates. We furthermore develop a treatment of sticky hard spheres as described by Baxter's contact interaction potential.

Keywords

Cite

@article{arxiv.2208.11657,
  title  = {Brownian dynamics simulations of hard rods in external fields and with contact interactions},
  author = {Alexander P. Antonov and Sören Schweers and Artem Ryabov and Philipp Maass},
  journal= {arXiv preprint arXiv:2208.11657},
  year   = {2022}
}

Comments

12 pages, 7 figures