Steady State of an Active Brownian Particle in Two-Dimensional Harmonic Trap
Statistical Mechanics
2020-03-04 v3
Abstract
We find an exact series solution for the steady-state probability distribution of a harmonically trapped active Brownian particle in two dimensions, in the presence of translational diffusion. This series solution allows us to efficiently explore the behavior of the system in different parameter regimes. Identifying "active" and "passive" regimes, we predict a surprising re-entrant active-to-passive transition with increasing trap stiffness. Our numerical simulations validate this finding. We discuss various interesting limiting cases wherein closed form expressions for the distributions can be obtained.
Keywords
Cite
@article{arxiv.1902.04171,
title = {Steady State of an Active Brownian Particle in Two-Dimensional Harmonic Trap},
author = {Kanaya Malakar and Arghya Das and Anupam Kundu and K. Vijay Kumar and Abhishek Dhar},
journal= {arXiv preprint arXiv:1902.04171},
year = {2020}
}
Comments
11 pages, 4 figures