Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings
arXiv:2006.08202 · doi:10.1103/PhysRevE.103.012605
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.
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