On the stochastic theory of a bistable chemical reaction

D. Borgis and M. Moreau

Physica A: Statistical Mechanics and its Applications, 1984, vol. 123, issue 1, 109-130

Abstract: The stochastic kinetics of a bistable chemical reaction is studied in the birth and death formalism. An elementary perturbation technique allows to estimate the first two nontrivial eigenvalues μ1 and μ2 of the evolution matrix and the corresponding engenvectors. This shows that once a quasitationary state is established in a time of order т2=∣μ2∣-1, the final evolution only changes the probability weight of each stable state, with the relaxation time т2=∣μ1∣-1⪢т2 (Kramer's time). More accurate estimation of μ2 and μ1 are proposed and compared with exact numerical results.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:123:y:1984:i:1:p:109-130

DOI: 10.1016/0378-4371(84)90106-7

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