Local equivalence of reversible and general Markov kinetics

Alexander N. Gorban

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 5, 1111-1121

Abstract: We consider continuous-time Markov kinetics with a finite number of states and a positive equilibrium P∗. This class of systems is significantly wider than the systems with detailed balance. Nevertheless, we demonstrate that for an arbitrary probability distribution P and a general system there exists a system with detailed balance and the same equilibrium that has the same velocity dP/dt at point P. The results are extended to nonlinear systems with the generalized mass action law.

Keywords: Detailed balance; Lyapunov function; Decomposition; Entropy; Uncertainty (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:5:p:1111-1121

DOI: 10.1016/j.physa.2012.11.028

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