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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 4 (1972), S. 175-191 
    ISSN: 1572-9613
    Keywords: Kraichnan's direct-interaction approximation ; model dynamic representation ; irreducible diagram expansion: modal-interaction perturbation technique ; Burgers' model turbulence: statisticsl turbulence theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An alternate method is presented of obtaining the direct-interaction equations by combining the heuristic and rigorous derivations of Kraichnan. Within the framework of the model dynamic representation of Kraichnan's rigorous theory, we have developed the irreducible diagram expansion systematically * by formalizing the perturbation argument of his heuristic derivation. It is hoped that the present work will provide a further insight into the analytical structure of the irreducible diagram expansion and bridge the gap apparent in the two original derivations of the direct-interaction equations given by Kraichnan.
    Type of Medium: Electronic Resource
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