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

TL;DR

This paper introduces an event-driven Brownian dynamics simulation method for one-dimensional hard rods under external forces, incorporating contact interactions and extending to sticky hard spheres, enabling more accurate modeling of complex particle systems.

Contribution

It presents a novel simulation approach that handles continuous external forces and contact interactions, including sticky spheres, in one-dimensional Brownian dynamics.

Findings

Effective simulation of hard rods with external fields

Inclusion of contact and sticky interactions

Applicable to complex particle systems

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.