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
URL:
http://dx.doi.org/10.1007/BF01308760