Hard-sphere interactions in velocity jump models
Computational Physics
2016-07-27 v1 Statistical Mechanics
Abstract
Group-level behaviour of particles undergoing a velocity jump process with hard-sphere interactions is investigated. We derive -particle transport equations that include the possibility of collisions between particles and apply different approximation techniques to get expressions for the dependence of the collective diffusion coefficient on the number of particles and their diameter. The derived approximations are compared with numerical results obtained from individual-based simulations. The theoretical results compare well with Monte Carlo simulations providing the excluded volume fraction is small.
Cite
@article{arxiv.1409.7959,
title = {Hard-sphere interactions in velocity jump models},
author = {Benjamin Franz and Jake Taylor-King and Christian Yates and Radek Erban},
journal= {arXiv preprint arXiv:1409.7959},
year = {2016}
}
Comments
Submitted to Physical Review E