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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 90, Issue 11, Pages 826–829 (Mi jetpl603)  

METHODS OF THEORETICAL PHYSICS

Oscillator heating by the colored noise

P. V. Elyutina, N. S. Maslovaa, N. A. Gippiusbc

a 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
References:
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.
Received: 31.08.2009
Revised: 28.10.2009
English version:
Journal of Experimental and Theoretical Physics Letters, 2009, Volume 90, Issue 11, Pages 731–734
DOI: https://doi.org/10.1134/S002136400923009X
Bibliographic databases:
Document Type: Article
PACS: 02.50.Fz
Language: English
Citation: P. V. Elyutin, N. S. Maslova, N. A. Gippius, “Oscillator heating by the colored noise”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:11 (2009), 826–829; JETP Letters, 90:11 (2009), 731–734
Citation in format AMSBIB
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\paper Oscillator heating by the colored noise
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2009
\vol 90
\issue 11
\pages 826--829
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\transl
\jour JETP Letters
\yr 2009
\vol 90
\issue 11
\pages 731--734
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