METHODS OF THEORETICAL PHYSICS

Oscillator heating by the colored noise

P. V. Elyutin^a, N. S. Maslova^a, N. A. Gippius<sup>bc

a</sup> Moscow State University, Department of Physics
^b LASMEA, UMR 6602 CNRS, Université Blaise Pascal, 63177 Aubière, France
^c A. M. Prokhorov General Physics Institute RAS

Abstract: The problem of energy kinetics of the harmonic oscillator under the influence of the colored noise is studied in a novel approach that describes the evolution by a discrete time random walk with randomly varying step. In this approach the variations of the oscillator's energy on adjacent time intervals happen to be virtually uncorrelated even for large correlation times of the noise. The average time of the first passage of the oscillator with the initial zero energy across some threshold value is calculated. The pre-exponent factor of transition rate is found to depend on the parameters of noise and not on oscillator damping and correctly describes the case of zero friction. The agreement in exponential factors obtained by the suggested approach and kinetic equation is demonstrated for narrow-band colored noise.

PACS: 02.50.Fz

Received: 31.08.2009
Revised: 28.10.2009

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2009, 90:11, 731–734

Bibliographic databases:

• 
•