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Odd Diffusivity of Chiral Random Motion

Cory Hargus, Jeffrey M. Epstein, and Kranthi K. Mandadapu
Phys. Rev. Lett. 127, 178001 – Published 22 October 2021
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Abstract

Diffusive transport is characterized by a diffusivity tensor which may, in general, contain both a symmetric and an antisymmetric component. Although the latter is often neglected, we derive Green-Kubo relations showing it to be a general characteristic of random motion breaking time-reversal and parity symmetries, as encountered in chiral active matter. In analogy with the odd viscosity appearing in chiral active fluids, we term this component the odd diffusivity. We show how odd diffusivity emerges in a chiral random walk model, and demonstrate the applicability of the Green-Kubo relations through molecular dynamics simulations of a passive tracer particle diffusing in a chiral active bath.

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  • Received 24 March 2021
  • Revised 30 June 2021
  • Accepted 23 September 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.178001

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Cory Hargus1,*, Jeffrey M. Epstein2, and Kranthi K. Mandadapu1,3,†

  • 1Department of Chemical and Biomolecular Engineering, University of California, Berkeley, California 94720, USA
  • 2Department of Physics, University of California, Berkeley, California 94720, USA
  • 3Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

  • *hargus@berkeley.edu
  • kranthi@berkeley.edu

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Issue

Vol. 127, Iss. 17 — 22 October 2021

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