Title: Monotonic Return to Steady Nonequilibrium
Authors: Maes, Christian ×
Netocny, Karel
Wynants, Bram #
Issue Date: Jun-2011
Publisher: American Physical Society
Series Title: Physical Review Letters vol:107 issue:1 pages:-
Article number: 010601
Abstract: We propose and analyze a new candidate Lyapunov function for relaxation towards general nonequilibrium steady states. The proposed functional is obtained from the large time asymptotics of time-symmetric fluctuations. For driven Markov jump or diffusion processes it measures an excess in dynamical activity rates. We present numerical evidence and we report on a rigorous argument for its monotonic time dependence close to the steady nonequilibrium or in general after a long enough time. This is in contrast with the behavior of approximate Lyapunov functions based on entropy production that when driven far from equilibrium often keep exhibiting temporal oscillations even close to stationarity.
ISSN: 0031-9007
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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