RELATIVE STABILITY OF MULTIPLE STATIONARY STATES RELATED TO FLUCTUATIONS

Authors
HANSEN NF ROSS J
Citation
Nf. Hansen et J. Ross, RELATIVE STABILITY OF MULTIPLE STATIONARY STATES RELATED TO FLUCTUATIONS, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 102(36), 1998, pp. 7123-7126
Citations number
19
Categorie Soggetti
Chemistry Physical
Journal title
The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory → ACNP
ISSN journal
10895639
Volume
102
Issue
36
Year of publication
1998
Pages
7123 - 7126
Database
ISI
SICI code
1089-5639(1998)102:36<7123:RSOMSS>2.0.ZU;2-5
Abstract
We apply the eikonal approximation to the stochastic master equation f or reaction-diffusion systems. Its stationary solution is expressed as an excess work, and is shown to be a Lyapunov function for the determ inistic evolution of inhomogeneous systems. From this result we establ ish a new stochastic criterion of relative stability and equistability of systems with multiple homogeneous stationary states in terms of in homogeneous fluctuations.