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Thermodynamically consistent flocking: From discontinuous to continuous transitions

Published version
Peer-reviewed

Repository DOI


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Authors

Agranov, tal 
Cates, Michael Elmhurst 

Abstract

jats:titleAbstract</jats:title> jats:pWe introduce a family of lattice-gas models of flocking, whose thermodynamically consistent dynamics admits a proper equilibrium limit at vanishing self-propulsion. These models are amenable to an exact coarse-graining which allows us to study their hydrodynamic behavior analytically. We show that the equilibrium limit here belongs to the universality class of Model C, and that it generically exhibits tricritical behavior. Self-propulsion has a non-perturbative effect on the phase diagram, yielding novel phase behaviors depending on the type of aligning interactions. For aligning interaction that increase monotonically with the density, the tricritical point diverges to infinite density reproducing the standard scenario of a discontinuous flocking transition accompanied by traveling bands. In contrast, for models where the aligning interaction is non-monotonic in density, the system can exhibit either (the nonequilibrium counterpart of) an azeotropic point, associated with a continuous flocking transition, or a state with counterpropagating bands.</jats:p>

Description

Acknowledgements: The authors acknowledge useful discussions with M Esposito, G Falasco, K Proesmans, and A Tanaji Mohite. This research was funded in part by the Luxembourg National Research Fund (FNR), Grant Reference 14389168. T A was funded by the Blavatnik Postdoctoral Fellowship Programme. For the purpose of open access, ÉF has applied a Creative Commons Attribution 4.0 International (CC BY 4.0) license to any Author Accepted Manuscript version arising from this submission.

Keywords

51 Physical Sciences

Journal Title

New Journal of Physics

Conference Name

Journal ISSN

1367-2630
1367-2630

Volume Title

26

Publisher

IOP Publishing
Sponsorship
FNR (14389168)