Exact Hydrodynamic Description of Active Lattice Gases

Physical Review Letters
Mourtaza Kourbane-HousseneJulien Tailleur

Abstract

We introduce lattice gas models of active matter systems whose coarse-grained "hydrodynamic" description can be derived exactly. We illustrate our approach by considering two systems exhibiting two of the most studied collective behaviors in active matter: the motility-induced phase separation and the transition to collective motion. In both cases, we derive coupled partial differential equations describing the dynamics of the local density and polarization fields and show how they quantitatively predict the emerging properties of the macroscopic lattice gases.

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Citations

Apr 15, 2019·The Journal of Chemical Physics·Rakesh ChatterjeeYair Shokef
Feb 15, 2020·Physical Review Letters·Adam Wysocki, Heiko Rieger
Jun 25, 2020·Physical Review. E·Tanmoy ChakrabortyPunyabrata Pradhan
Sep 7, 2019·Physical Review Letters·Benjamin Partridge, Chiu Fan Lee
Feb 13, 2021·Physical Review Letters·Sunghan RoJulien Tailleur
Jan 21, 2021·Physical Review. E·Alessandro Ravoni, Luca Angelani
Dec 15, 2020·Physical Review Letters·Hal Tasaki
Jan 21, 2021·Physical Review. E·Rahul DandekarR Rajesh
Mar 20, 2021·Physical Review. E·Yann-Edwin KetaRobert L Jack
Apr 17, 2021·The European Physical Journal. E, Soft Matter·Florian DittrichPeter Virnau

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