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Proceedings Paper

Harmonic velocity noise: new features of noise-driven system in long times
Author(s): Jing-Dong Bao; Yan-Li Song; Qing Ji; Yi-Zhong Zhuo
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Paper Abstract

We propose a harmonic velocity noise, i.e., time derivative of the harmonic noise, which has a broadband-passing feature and a vanishing Markovian friction. If this noise is regarded as a thermal one, which will lead to nonvanishing mean velocity and ballistic diffusion of a free particle in long time limit. The effective temperature of the system coupled to such a structured heat bath represented by harmonic velocity noise is introduced, and it is shown that the fluctuation-dissipation theorem still holds when the particle at the initial time is in thermal equilibrium. When applied to a titled periodic potential, we find that the Brownian particle does not have a stationary state in the phase space, however, a constant acceleration is obtained.

Paper Details

Date Published: 25 May 2004
PDF: 7 pages
Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.547018
Show Author Affiliations
Jing-Dong Bao, Beijing Normal Univ. (China)
Yan-Li Song, Beijing Normal Univ. (China)
Qing Ji, Hebei Univ. of Technology (China)
Beijing Normal Univ. (China)
Yi-Zhong Zhuo, China Institute of Atomic Energy (China)
Institute of Theoretical Physics (China)

Published in SPIE Proceedings Vol. 5471:
Noise in Complex Systems and Stochastic Dynamics II
Zoltan Gingl, Editor(s)

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