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Local equivalence of reversible and general Markov kinetics

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  • Gorban, Alexander N.

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.

Suggested Citation

  • Gorban, Alexander N., 2013. "Local equivalence of reversible and general Markov kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1111-1121.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:5:p:1111-1121
    DOI: 10.1016/j.physa.2012.11.028
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