ISSN:
1572-9613
Keywords:
Chemical reactions
;
fluctuations
;
instabilities
;
master equation
;
renormalization group
;
singular perturbations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Two new approaches for investigating critical fluctuations near an instability point of unstable chemical models are proposed. The master equation approach is used. For a homogeneous system without the effect of diffusion, three single-component chemical systems exhibiting critical behavior are considered. The cumulant functions are expanded in a small parameter-the inverse size of the system-and singular perturbation solutions of the master equation are developed. Exponents describing the divergence of the second-order variance are found to be classical. For a system including diffusion effects, spatial correlations for a quasi-one-dimensional case are investigated by considering scale transformation behavior within the multivariate master equation formalism.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01014668
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