Article (Scientific journals)
Thermodynamics of Active Field Theories: Energetic Cost of Coupling to Reservoirs
Markovich, Tomer; Fodor, Etienne; Tjhung, Elsen et al.
2021In Physical Review X, 11 (2)
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Keywords :
Soft Matter; Statistical Physics GIANT NUMBER FLUCTUATIONS; BROKEN DETAILED BALANCE; BROWNIAN PARTICLES TOPOLOGICAL DEFECTS; TUMBLE PARTICLES; MODEL; DYNAMICS; DRIVEN; HEAT TEMPERATURE Physics Physics; Multidisciplinary tm36@rice.edu Fodor; Etienne/0000-0003-1372-2195 European Research Council under the EUEuropean Research Council (ERC) [740269]; National Science FoundationNational Science Foundation (NSF) [PHY-2019745]; Blavatnik Postdoctoral Fellowship of the Blavatnik Family Foundation; National Science Foundation Center for Theoretical Biological PhysicsNational Science Foundation (NSF) [PHY-2019745] ATTRACT Investigator Grant of the Luxembourg National Research Fund Oppenheimer Research Fellowship from the University of Cambridge; St Catharine's College; Royal SocietyRoyal Society of LondonEuropean Commission The authors acknowledge insightful discussions with Yongjoo Baek and Robert L. Jack. Work funded in part by the European Research Council under the EU's Horizon 2020 Program; Grant No. 740269; and by the National Science Foundation under Grant No. NSF PHY-1748958. T. M. acknowledges support from a Blavatnik Postdoctoral Fellowship of the Blavatnik Family Foundation and the National Science Foundation Center for Theoretical Biological Physics (GrantNo. PHY-2019745). E. F. acknowledges support from an ATTRACT Investigator Grant of the Luxembourg National Research Fund; an Oppenheimer Research Fellowship from the University of Cambridge; and a Junior Research Fellowship from St Catharine's College. M. E. C. is funded by the Royal Society. 113 1 4 4 Phys. Rev. X SS6UZ WOS:000661892200001
Abstract :
[en] The hallmark of active matter is the autonomous directed motion of its microscopic constituents driven by consumption of energy resources. This motion leads to the emergence of large-scale dynamics and structures without any equilibrium equivalent. Though active field theories offer a useful hydrodynamic description, it is unclear how to properly quantify the energetic cost of the dynamics from such a coarse-grained description. We provide a thermodynamically consistent framework to identify the energy exchanges between active systems and their surrounding thermostat at the hydrodynamic level. Based on linear irreversible thermodynamics, we determine how active fields couple with the underlying reservoirs at the basis of nonequilibrium driving. This approach leads to evaluating the rate of heat dissipated in the thermostat, as a measure of the cost to sustain the system away from equilibrium, which is related to the irreversibility of the active field dynamics. We demonstrate the applicability of our approach in two popular active field theories: (i) the dynamics of a conserved density field reproducing active phase separation and (ii) the coupled dynamics of density and polarization describing motile deformable droplets. Combining numerical and analytical approaches, we provide spatial maps of dissipated heat, compare them with the irreversibility measure of the active field dynamics, and explore how the overall dissipated heat varies with the emerging order.
Disciplines :
Physics
Author, co-author :
Markovich, Tomer;  Markovich, T (Corresponding Author), Rice Univ, Ctr Theoret Biol Phys, Houston, TX 77030 USA. Markovich, T (Corresponding Author), Univ Cambridge, DAMTP, Ctr Math Sci, Wilberforce Rd, Cambridge CB3 0WA, England. Markovich, Tomer, Rice Univ, Ctr Theoret Biol Phys, Houston, TX 77030 USA. Markovich, Tomer
Fodor, Etienne ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Tjhung, Elsen;  Tjhung, Elsen
Cates, Michael E.;  Cates, Michael E., Univ Cambridge, DAMTP, Ctr Math Sci, Wilberforce Rd, Cambridge CB3 0WA, England. Fodor, Etienne, Univ Luxembourg, Dept Phys Mat Sci, L-1511 Luxembourg, Luxembourg. Tjhung, Elsen, Univ Durham, Dept Phys, Sci Labs, South Rd, Durham DH1 3LE, England.
External co-authors :
yes
Language :
English
Title :
Thermodynamics of Active Field Theories: Energetic Cost of Coupling to Reservoirs
Publication date :
2021
Journal title :
Physical Review X
ISSN :
2160-3308
Publisher :
AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, Unknown/unspecified
Volume :
11
Issue :
2
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
Commentary :
Article
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