Article (Scientific journals)
Time-reversal symmetry violations and entropy production in field theories of polar active matter
Borthne, Øyvind L; Fodor, Etienne; Cates, Michael E
2020In New Journal of Physics, 22, p. 1-32
Peer reviewed
 

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Keywords :
entropy production; active matter; flocking
Abstract :
[en] We investigate the steady-state entropy production rate (EPR) in the hydrodynamic Vicsek model (HVM) and diffusive flocking model (DFM). Both models display a transition from an isotropic gas to a polar liquid (flocking) phase, in addition to travelling polar clusters and microphase-separation in the miscibility gap. The phase diagram of the DFM, which may be considered an extension of the HVM, contains additional structure at low densities where we find a novel crystal phase in which a stationary hexagonal lattice of high-density ridges surround low density valleys. From an assessment of the scaling of the EPR at low noise, we uncover that the dynamics in this limit may be organised into three main classes based on the dominant contribution. Truly nonequilibrium dynamics is characterised by a divergent EPR in this limit, and sustains global time-reversal symmetry (TRS) violating currents at zero noise. On the other hand, marginally nonequilibrium and effectively equilibrium dynamics have a finite EPR in this limit, and TRS is broken only at the level of fluctuations. For the latter of these two cases, detailed balance is restored in the small noise limit and we recover effective Boltzmann statistics to lowest nontrivial order.We further demonstrate that the scaling of the EPR may change depending on the dynamical variables that are tracked when it is computed, and the protocol chosen for time-reversal. Results acquired from numerical simulations of the dynamics confirm both the asymptotic scaling relations we derive and our quantitative predictions.
Disciplines :
Physics
Author, co-author :
Borthne, Øyvind L;  DAMTP, Centre forMathematical Sciences, University of Cambridge,Wilberforce Road, Cambridge CB3 0WA, United Kingdom
Fodor, Etienne ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Cates, Michael E;  DAMTP, Centre forMathematical Sciences, University of Cambridge,Wilberforce Road, Cambridge CB3 0WA, United Kingdom
External co-authors :
yes
Language :
English
Title :
Time-reversal symmetry violations and entropy production in field theories of polar active matter
Publication date :
15 December 2020
Journal title :
New Journal of Physics
Volume :
22
Pages :
1-32
Peer reviewed :
Peer reviewed
Focus Area :
Physics and Materials Science
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