Abstract
The averaged behavior of physical systems under the action of fields which are inhomogeneous in space and rapidly and irregularly oscillating in time is considered. The problem is studied analytically for random stationary fields, the temporal spectrum of which has a “hump” shape; the relation between the width of the hump and its central frequency is arbitrary involving the well-known limiting cases: monochromatic field and “white noise”. It is shown that a finite spectrum width leads to an additional renormalization of the well-known effective potential and the appearance (contrary to the monochromatic case) of some effective damping for averaged motions. It is essential that both damping and potential vary not monotonously and change sign when the spectrum width increases.
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