Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions

Stefano Steffenoni, Gianmaria Falasco, and Klaus Kroy
Phys. Rev. E 95, 052142 – Published 25 May 2017

Abstract

We derive the hydrodynamic equations of motion for a fluid of active particles described by underdamped Langevin equations that reduce to the active-Brownian-particle model, in the overdamped limit. The contraction into the hydrodynamic description is performed by locally averaging the particle dynamics with the nonequilibrium many-particle probability density, whose formal expression is found in the physically relevant limit of high friction through a multiple-time-scale analysis. This approach permits us to identify the conditions under which self-propulsion can be subsumed into the fluid stress tensor and thus to define systematically and unambiguously the local pressure of the active fluid.

  • Figure
  • Received 24 December 2016
  • Revised 4 April 2017

DOI:https://doi.org/10.1103/PhysRevE.95.052142

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Stefano Steffenoni1,2,*, Gianmaria Falasco2,†, and Klaus Kroy2,‡

  • 1Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig, Germany
  • 2Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany

  • *stefano.steffenoni@mis.mpg.de
  • falasco@itp.uni-leipzig.de
  • klaus.kroy@uni-leipzig.de

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Issue

Vol. 95, Iss. 5 — May 2017

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