ISSN:
1572-9613
Keywords:
Brusselator
;
chemical reactions
;
chemical oscillations
;
correlations
;
fluctuations
;
instabilities
;
Langevin equations
;
master equations
;
Poisson representation
;
reaction-diffusion systems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01014350
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