An equation of state for active matter
Statistical Mechanics
2023-08-09 v2 Soft Condensed Matter
Abstract
We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be calculated in analogous way to equilibrium systems using this probability distribution. We then derive expressions for the macroscopic pressure and position-orientation correlation functions. We check our results by direct comparison with extensive numerical simulations. A key finding is the importance of many-body effective interactions even at very low densities.
Cite
@article{arxiv.2201.10813,
title = {An equation of state for active matter},
author = {Samuel Cameron and Majid Mosayebi and Rachel Bennett and Tanniemola B. Liverpool},
journal= {arXiv preprint arXiv:2201.10813},
year = {2023}
}
Comments
Updated to fix typo in author last name. 5 pages, 2 figures