Asymptotic properties of the Markovian master equations for multi-stationary systems

E-Jiang Ding

Physica A: Statistical Mechanics and its Applications, 1983, vol. 119, issue 1, 317-326

Abstract: In this paper, asymptotic properties of the markovian master equations for multi-stationary systems are discussed. It is proved that the convergence radii of the generating functions are greater than one in most cases. On this basis, the singular perturbation expansion method is generalized to include the case of multi-stationary systems beyond the bifurcation point. The properties of stationary states of the system in the thermodynamic limit are discussed, and the implications of multiplicity of states in the properties of the generating function are established.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:119:y:1983:i:1:p:317-326

DOI: 10.1016/0378-4371(83)90163-2

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