A stochastic approach to the analysis of chemically reacting systems-III. Effect of fluctuations on critical slowing down

Tambe, S. S. ; Kulkarni, B. D. ; Doraiswamy, L. K. (1985) A stochastic approach to the analysis of chemically reacting systems-III. Effect of fluctuations on critical slowing down Chemical Engineering Science, 40 (10). pp. 1959-1964. ISSN 0009-2509

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000925...

Related URL: http://dx.doi.org/10.1016/0009-2509(85)80133-0

Abstract

The present paper examines the influence of inherent (internal) and random fluctuations on the phenomenon of critical slowing down. The analysis employs the Fokker-Planck equation derived from the master equation as well as the Langevin equation to ascertain the influence. The master equation analysis gives results exactly identical to those of the deterministic analysis. The Langevin equation analysis indicates that in presence of nonmultiplicative disturbances the critical slowing down disappears, while noise induced slowing down persists in the presence of multiplicative disturbances. The results are discussed.

Item Type:Article
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ID Code:22833
Deposited On:25 Nov 2010 13:59
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