Harmonic velocity noise: new features of noise-driven system in long times

Jing-Dong Bao; Yan-Li Song; Qing Ji; Yi-Zhong Zhuo

doi:10.1117/12.547018

25 May 2004 Harmonic velocity noise: new features of noise-driven system in long times

Jing-Dong Bao, Yan-Li Song, Qing Ji, Yi-Zhong Zhuo

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.547018
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

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.

Citation Download Citation

Jing-Dong Bao, Yan-Li Song, Qing Ji, and Yi-Zhong Zhuo "Harmonic velocity noise: new features of noise-driven system in long times", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.547018

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