Odd Diffusivity of Chiral Random Motion

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 pa...

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Bibliographic Details
Published in:Physical review letters 2021-10, Vol.127 (17), p.1-178001, Article 178001
Main Authors: Hargus, Cory, Epstein, Jeffrey M., Mandadapu, Kranthi K.
Format: Article
Language:English
Subjects:
Active matter
Diffusion
Diffusivity
INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Molecular dynamics
Nonequilibrium statistical mechanics
Random walk
Random walks
Stochastic processes
Tensors
Tracer particles
Transport phenomena
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.127.178001