Note on the stochastic theory of a self-catalytic chemical reaction. I

S. Dambrine and M. Moreau

Physica A: Statistical Mechanics and its Applications, 1981, vol. 106, issue 3, 559-573

Abstract: By using the spectral theory of the master equation, it is shown generally that a self-catalytic chemical system may evolve according to two widely different time scales in this case. The shorter one describes the evolution towards a quasi-stationary state which is the stochastic equivalent of the macroscopic stationary state. The larger time characterizes the final evolution towards total absorption; it is coarsely evaluated for an arbitrary system and more precisely for a non step-by-step reaction. Detailed application to step-by-step reactions is given in a second article.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:106:y:1981:i:3:p:559-573

DOI: 10.1016/0378-4371(81)90126-6

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