Pair correlation of dilute active Brownian particles: From low-activity dipolar correction to high-activity algebraic depletion wings

Alexis Poncet, Olivier Bénichou, Vincent Démery, and Daiki Nishiguchi
Phys. Rev. E 103, 012605 – Published 13 January 2021
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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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  • Received 17 June 2020
  • Revised 12 October 2020
  • Accepted 16 December 2020

DOI:https://doi.org/10.1103/PhysRevE.103.012605

©2021 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft MatterCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Alexis Poncet1,2, Olivier Bénichou1, Vincent Démery3,4,*, and Daiki Nishiguchi2

  • 1LPTMC, CNRS/Sorbonne Université, 4 Place Jussieu, F-75005 Paris, France
  • 2Department of Physics, The University of Tokyo, Hongo 7-3-1, Tokyo, 113-0033, Japan
  • 3Gulliver, CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin, Paris, France
  • 4Univ Lyon, ENS de Lyon, Univ Claude Bernard Lyon 1, CNRS, Laboratoire de Physique, F-69342 Lyon, France

  • *vincent.demery@espci.psl.eu

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Issue

Vol. 103, Iss. 1 — January 2021

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