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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 92 (1993), S. 399-407 
    ISSN: 1434-6036
    Keywords: 05.40.+j ; 02.50.+s
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Generalized master equations correspond to different kinds of cumulants. Here, we discuss the recently introduced non-crossing cumulants from a physical point of view and propose the corresponding integro-differential master equation as a new type of equation for a self-consistent treatment of memory effects. We prove the cluster property of the non-crossing cumulants, and show that the Gaussian approximation of our equation is given by a random matrix process. As an instructive example for our expansion formula we treat the random frequency-modulated oscillator.
    Type of Medium: Electronic Resource
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