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Title: Landau theory for non-equilibrium steady states

Abstract

We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at different temperatures, the non-analytic potential arises from the different density of states of the baths. In periodically driven-dissipative systems, the role of multiple baths is played by a single bath transferring energy at different harmonics of the driving frequency. The mean-field critical exponents become dependent on the low-energy features of the two most singular baths. We propose an extension beyond mean field.

Authors:
 [1];  [2]
  1. KU Leuven, École Normale Supérieure
  2. Boston University
Publication Date:
Research Org.:
Boston Univ., MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1617745
Alternate Identifier(s):
OSTI ID: 1657548
Grant/Contract Number:  
FG02-06ER46316
Resource Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 8 Journal Issue: 5; Journal ID: ISSN 2542-4653
Publisher:
SciPost Foundation
Country of Publication:
Netherlands
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Aron, Camille, and Chamon, Claudio. Landau theory for non-equilibrium steady states. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.8.5.074.
Aron, Camille, & Chamon, Claudio. Landau theory for non-equilibrium steady states. Netherlands. https://doi.org/10.21468/SciPostPhys.8.5.074
Aron, Camille, and Chamon, Claudio. Fri . "Landau theory for non-equilibrium steady states". Netherlands. https://doi.org/10.21468/SciPostPhys.8.5.074.
@article{osti_1617745,
title = {Landau theory for non-equilibrium steady states},
author = {Aron, Camille and Chamon, Claudio},
abstractNote = {We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at different temperatures, the non-analytic potential arises from the different density of states of the baths. In periodically driven-dissipative systems, the role of multiple baths is played by a single bath transferring energy at different harmonics of the driving frequency. The mean-field critical exponents become dependent on the low-energy features of the two most singular baths. We propose an extension beyond mean field.},
doi = {10.21468/SciPostPhys.8.5.074},
journal = {SciPost Physics},
number = 5,
volume = 8,
place = {Netherlands},
year = {Fri May 08 00:00:00 EDT 2020},
month = {Fri May 08 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.21468/SciPostPhys.8.5.074

Citation Metrics:
Cited by: 6 works
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Works referenced in this record:

Nonequilibrium mean-field theory of resistive phase transitions
journal, July 2018


Theory of dynamic critical phenomena
journal, July 1977


Statistical Mechanics of Probabilistic Cellular Automata
journal, December 1985


Dynamic phase transition, universality, and finite-size scaling in the two-dimensional kinetic Ising model in an oscillating field
journal, December 2000


Time‐Dependent Statistics of the Ising Model
journal, February 1963

  • Glauber, Roy J.
  • Journal of Mathematical Physics, Vol. 4, Issue 2
  • DOI: 10.1063/1.1703954

Impurity model for non-equilibrium steady states
journal, March 2013


On growth, disorder, and field theory
journal, November 1998


Stationary nonequilibrium states in the Ising model with locally competing temperatures
journal, November 1987

  • Garrido, P. L.; Labarta, A.; Marro, J.
  • Journal of Statistical Physics, Vol. 49, Issue 3-4
  • DOI: 10.1007/BF01009348

Non-equilibrium critical phenomena and phase transitions into absorbing states
journal, November 2000


Phase transitions in stationary nonequilibrium states of model lattice systems
journal, August 1983


Two-temperature nonequilibrium Ising models: Critical behavior and universality
journal, November 1994


Dynamic Scaling of Growing Interfaces
journal, March 1986


Driven-dissipative Ising model: Mean-field solution
journal, November 2015