Local and global fluctuations in a soluble model of a non-equilibrium chemically reacting system

By use of coupled chemical and diffusion master equations we derive exact formulae for correlations in a certain non equilibrium chemical reaction. We show that the probability distribution is poissonian in small volumes, and non poissonian in large volumes. We show also that as a point of instabili...

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Bibliographic Details
Published in:Physics letters. A 1975-06, Vol.53 (3), p.205-207
Main Authors: Gardiner, C.W., McNeil, K.J., Walls, D.F.
Format: Article
Language:English
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Summary:By use of coupled chemical and diffusion master equations we derive exact formulae for correlations in a certain non equilibrium chemical reaction. We show that the probability distribution is poissonian in small volumes, and non poissonian in large volumes. We show also that as a point of instability is reached, the correlation length becomes infinite, in a manner reminiscent of a second order phase transition.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(75)90407-7