Reference : Entropy Production in Field Theories without Time-Reversal Symmetry: Quantifying the ...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
http://hdl.handle.net/10993/47908
Entropy Production in Field Theories without Time-Reversal Symmetry: Quantifying the Non-Equilibrium Character of Active Matter
English
Nardini, Cesare [DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom > > > ; SUPA, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom > > > ; Service de Physique de l’Etat Condensé, CEA, CNRS, Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France]
Fodor, Etienne mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)]
Tjhung, Elsen [DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom]
Frederic, Van Wijland [Laboratoire Matière et Systèmes Complexes, UMR 7057 CNRS/P7, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris cedex 13, France]
Tailleur, Julien [Laboratoire Matière et Systèmes Complexes, UMR 7057 CNRS/P7, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris cedex 13, France]
Cates, Michael E. [DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom]
2017
PHYSICAL REVIEW X
AMER PHYSICAL SOC
7
2
Yes (verified by ORBilu)
International
2160-3308
ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
[en] Soft Matter; Statistical Physics PHASE-SEPARATION; STATISTICAL-MECHANICS; FLUCTUATION THEOREM; STOCHASTIC DYNAMICS; BROWNIAN PARTICLES; TUMBLE PARTICLES; DRIVEN; DISSIPATION SYSTEMS; EQUILIBRIUM Physics Physics ; Multidisciplinary Tailleur ; Julien/D-7122-2013 Fodor ; Etienne/O-1660-2019 Fodor ; Etienne/0000-0003-1372-2195 Tjhung ; Elsen/0000-0003-1250-4989 Tailleur ; Julien/0000-0001-6847-3304 nardini ; cesare/0000-0002-0466-1418 EPSRCUK Research Innovation (UKRI)Engineering Physical Sciences Research Council (EPSRC) [EP/J007404]; Royal SocietyRoyal Society of LondonEuropean Commission; Engineering and Physical Sciences Research CouncilUK Research Innovation (UKRI)Engineering Physical Sciences Research Council (EPSRC) [EP/J007404/1] Funding Source: researchfish We thank Hugues Chate ; Romain Mari ; Frederic MacKintosh ; Davide Marenduzzo ; Thomas Speck ; David Tong ; Paolo Visco ; and Raphael Wittkowski for illuminating discussions. C. N. acknowledges the hospitality provided by DAMTP ; University of Cambridge ; while this work was being done. This research has been supported by EPSRC Grant No. EP/J007404. M. E. C. thanks the Royal Society for funding. 107 81 2 29 Phys. Rev. X ES3EC WOS:000399410000001
[en] Active-matter systems operate far from equilibrium because of the continuous energy injection at the scale of constituent particles. At larger scales, described by coarse-grained models, the global entropy production rate S quantifies the probability ratio of forward and reversed dynamics and hence the importance of irreversibility at such scales: It vanishes whenever the coarse-grained dynamics of the active system reduces to that of an effective equilibrium model. We evaluate S for a class of scalar stochastic field theories describing the coarse-grained density of self-propelled particles without alignment interactions, capturing such key phenomena as motility-induced phase separation. We show how the entropy production can be decomposed locally (in real space) or spectrally (in Fourier space), allowing detailed examination of the spatial structure and correlations that underly departures from equilibrium. For phase-separated systems, the local entropy production is concentrated mainly on interfaces, with a bulk contribution that tends to zero in the weak-noise limit. In homogeneous states, we find a generalized Harada-Sasa relation that directly expresses the entropy production in terms of the wave-vector-dependent deviation from the fluctuation-dissipation relation between response functions and correlators. We discuss extensions to the case where the particle density is coupled to a momentum-conserving solvent and to situations where the particle current, rather than the density, should be chosen as the dynamical field. We expect the new conceptual tools developed here to be broadly useful in the context of active matter allowing one to distinguish when and where activity plays an essential role in the dynamics.
http://hdl.handle.net/10993/47908
10.1103/PhysRevX.7.021007
Article

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