Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings
Statistical Mechanics
2021-01-20 v4 Soft Condensed Matter
Abstract
We study the pair correlation of Active Brownian Particles at low density using numerical simulations and analytical calculations. We observe a winged pair correlation: while particles accumulate in front of an active particle as expected, the depletion wake consists of two depletion wings. In the limit of soft particles, we obtain a closed equation for the pair correlation, allowing us to characterize the depletion wings. In particular, we unveil two regimes at high activity where the wings adopt a self-similar profile and decay algebraically. We also perform experiments of self-propelled Janus particles and indeed observe the depletion wings.
Keywords
Cite
@article{arxiv.2006.08202,
title = {Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings},
author = {Alexis Poncet and Olivier Bénichou and Vincent Démery and Daiki Nishiguchi},
journal= {arXiv preprint arXiv:2006.08202},
year = {2021}
}