Chaturvedi, S. ; Gardiner, C. W. ; Matheson, I. S. ; Walls, D. F. (1977) Stochastic analysis of a chemical reaction with spatial and temporal structures Journal of Statistical Physics, 17 (6). pp. 469-489. ISSN 0022-4715
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Official URL: http://www.springerlink.com/content/u4385j58746442...
Related URL: http://dx.doi.org/10.1007/BF01014350
Abstract
A stochastic analysis of the spatial and temporal structures in the Prigogine-Lefever-Nicolis model (the Brusselator) is presented. The analysis is carried out through a Langevin equation derived from a multivariate master equation using the Poisson representation method, which is used to calculate the spatial correlation functions and the fluctuation spectra in the Gaussian approximation. The case of an infinite three-dimensional system is considered in detail. The calculations for the spatial correlation functions and the fluctuation spectra for a finite system subject to different kinds of boundary conditions are also given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Brusselator; Chemical Reactions; Chemical Oscillations; Correlations; Fluctuations; Instabilities; Langevin Equations; Master Equations; Poisson Representation; Reaction-diffusion Systems |
| ID Code: | 89784 |
| Deposited On: | 02 May 2012 13:04 |
| Last Modified: | 02 May 2012 13:04 |
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