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Diffusion of nonstationary stirred fields
Author(s) -
Arnaut L. R.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700995
Subject(s) - diffusion , field (mathematics) , amplitude , electromagnetic field , physics , diffusion process , statistical physics , fokker–planck equation , quantum electrodynamics , langevin dynamics , classical mechanics , quantum mechanics , mathematics , differential equation , innovation diffusion , computer science , knowledge management , pure mathematics
Rapid perturbations of the boundaries of an overmoded cavity for acoustic or electromagnetic fields cause nonstationary effects of the stochastic properties of the field. The associated Langevin–Itô and Fokker–Planck equations for the energy density and field amplitude are derived. Analytic solutions for the field magnitude and energy density are obtained, showing that the field dynamics can be characterized as a generalized diffusion process. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)