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Published on: January 30, 2018
Pair correlation of dilute active Brownian particles: From low-activity dipolar correction to high-activity algebraic
Alexis Poncet1,2, Olivier Bénichou1, Vincent Démery3,4
1LPTMC, CNRS/Sorbonne Université, 4 Place Jussieu, F-75005 Paris, France.
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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