The Small-Mass Limit and White-Noise Limit of an Infinite Dimensional Generalized Langevin Equation
Journal Article
·
· Journal of Statistical Physics
We study asymptotic properties of the Generalized Langevin Equation (GLE) in the presence of a wide class of external potential wells with a power-law decay memory kernel. When the memory can be expressed as a sum of exponentials, a class of Markovian systems in infinite-dimensional spaces is used to represent the GLE. The solutions are shown to converge in probability in the small-mass limit and the white-noise limit to appropriate systems under minimal assumptions, of which no global Lipschitz condition is required on the potentials. With further assumptions about space regularity and potentials, we obtain L{sup 1} convergence in the white-noise limit.
- OSTI ID:
- 22787929
- Journal Information:
- Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 2 Vol. 173; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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