The Steady State Distribution of the Master Equation

Abstract

The steady states of the master equation are investigated. We give two expressions for the steady state distribution of the master equation a la the Zubarev-McLennan steady state distribution, i.e., the exact expression and an expression near equilibrium. The latter expression obtained is consistent with recent attempt of constructing steady state theormodynamics.

6 pages, No figures. A mistake was corrected

References in corpus (5)

• Stochastic thermodynamics of chemical reaction networks
• Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
• An expression for stationary distribution in nonequilibrium steady state
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• Irreversible Circulation of Fluctuation and Entropy Production