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Thermodynamically consistent coarse-graining of polar active fluids

Scott Weady1,*, David B. Stein2, and Michael J. Shelley1,2

  • 1Courant Institute of Mathematical Sciences, New York University, New York, New York, 10012, USA
  • 2Center for Computational Biology, Flatiron Institute, New York, New York, 10010, USA

  • *scott.weady@nyu.edu
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Phys. Rev. Fluids 7, 063301 – Published 9 June, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.063301

Abstract

We introduce a closure model for coarse-grained kinetic theories of polar active fluids. Based on a quasiequilibrium approximation of the particle distribution function, the model closely captures important analytical properties of the kinetic theory, including its linear stability and the balance of conformational entropy production and dissipation. Nonlinear simulations show the model reproduces the qualitative behavior and nonequilibrium statistics of the kinetic theory, unlike commonly used closure models. We use the closure model to simulate highly turbulent suspensions in both two and three dimensions in which we observe complex multiscale dynamics, including large concentration fluctuations and a proliferation of polar and nematic defects.

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Phys. Rev. Fluids 7, 063301– Published 9 June, 2022
  • Received 10 March 2022
  • Accepted 9 May 2022
Article part of CHORUS
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