ISSN:
1572-9613
Keywords:
Stochastic processes
;
nonlinear processes
;
statistical linearization
;
perturbation expansions
;
projection operators
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We compare the methods of statistical linearization, perturbation expansions, and projection operators for the approximate solution of nonlinear multimode stochastic equations. The model equations we choose for this comparison are coupled, nonlinear, first-order, one-dimensional complex mode rate equations. We show that the method of statistical linearization is completely equivalent to the neglect of certain well-defined diagrams in the perturbation expansion resulting in the first Kraichnan-Wyld approximation, and to the retention of only Markovian terms in the projection operator method, i.e., those terms that are local in time.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01014312
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