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The closure approximation in the hierarchy equations.The expectation of the solution process in a stochastic operator equation can be obtained from averaged equations only under very special circumstances. Conditions for validity are given and the significance and validity of the approximation in widely used hierarchy methods and the ?self-consistent field' approximation in nonequilibrium statistical mechanics are clarified. The error at any level of the hierarchy can be given and can be avoided by the use of the iterative method.
Document ID
19720031591
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Adomian, G.
(Georgia, University Athens, Ga., United States)
Date Acquired
August 6, 2013
Publication Date
August 1, 1971
Publication Information
Publication: Journal of Statistical Physics
Volume: 3
Subject Category
Mathematics
Accession Number
72A15257
Funding Number(s)
PROJECT: PROJECT THEMIS
OTHER: NGR-11-003-020
OTHER: N00014-69-A-0423
Distribution Limits
Public
Copyright
Other

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