A stochastic approach to the analysis of chemically reacting systems—IV. Critical slowing down in autocatalysis
✍ Scribed by S.S. Tambe; B.D. Kulkarni; L.K. Doraiswamy
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 379 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
✦ Synopsis
The case of an autocatalytic reaction in the presence of fluctuations is analysed. The governing Fokker-Planck equation has been solved using three different methods. The analysis indites sharp variations in the intensity of fluctuations when the system undergoing critical slowing down is disturbed by random noise.
📜 SIMILAR VOLUMES
The present work analyses the role of fluctuations for a class of reacting systems involving one or more than one variable using the expansion method. General equations are formulated and illustrated by considering specific examples. The analysis indicates that fluctuations cannot always be ignored
The basic model of Ligon and Annmdson (198 1, Chem. Ewng Sci. 36, 653-660) has been employed to assess the influence of white and nonwhite external noise on the behaviour of a fluidixed bed where nonlinear reaction occurs. The paper presents a selfconsistent lin earization scheme for such problems a