R K P Zia and B Schmittmann J. Stat. Mech. (2007) P07012 doi:10.1088/1742-5468/2007/07/P07012
R K P Zia and B Schmittmann
Show affiliationsPart of Focus on Dynamics of Non-Equilibrium Systems
One of the key features of non-equilibrium steady states (NESS) is the presence of non-trivial probability currents. We propose a general classification of NESS in which these currents play a central distinguishing role. As a corollary, we specify the transformations of the dynamic transition rates which leave a given NESS invariant. The formalism is most transparent within a continuous-time master equation framework since it allows for a general graph-theoretical representation of the NESS. We discuss the consequences of these transformations for entropy production, present several simple examples, and explore some generalizations, to discrete time and continuous variables.
E-print Number: cond-mat/0701763
Cited: by |
Refers: to
05.70.Ln Nonequilibrium and irreversible thermodynamics
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
82C26 Dynamic and nonequilibrium phase transitions (general)
Issue 07 (July 2007)
Received 1 February 2007, accepted for publication 28 March 2007
Published 10 July 2007
R K P Zia and B Schmittmann J. Stat. Mech. (2007) P07012
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