Non-monotonic displacement distribution of active random walkers
Statistical Mechanics
2020-01-06 v1
Abstract
We consider a simple model for active random walk with general temporal correlations, and investigate the shape of the probability distribution function of the displacement during a short time interval. We find that under certain conditions the distribution is non-monotonic and we show analytically and numerically that the existence of the non-monotonicity is governed by the walker's tendency to move forward, while the correlations between the timing of its active motion control the magnitude and shape of the non-monotonicity. In particular, we find that in a homogeneous system such non-monotonicity can occur only if the persistence is strong enough.
Keywords
Cite
@article{arxiv.1908.07242,
title = {Non-monotonic displacement distribution of active random walkers},
author = {Eial Teomy and Yael Roichman and Yair Shokef},
journal= {arXiv preprint arXiv:1908.07242},
year = {2020}
}