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物理学报. 2010, 59(1): 111-115.
doi: 10.7498/aps.59.111.
白交叉关联色噪声驱动的线性振子的扩散
- 收稿日期: 2009-02-12
- 修回日期: 2009-05-20
- 刊出日期: 2010-01-15
English Abstract
Diffusion in a linear oscillator driven by colored noises with white cross-correlation
- Received Date:
12 February 2009
- Accepted Date:
20 May 2009
- Published Online:
15 January 2010
Abstract: The diffusion in a linear oscillator driven by white cross-correlation colored noises in which one of the noises is modulated by a biased period signal is studied. Effects on d versus Q curve, d versus D curve, and d versus Ω curve by multiplicative colored noise self-correlation time τ1 as well as additive colored noise self-correlation time τ2 are revealed. Here d, Q, D, and Ω denote the diffusion coefficient of the oscillator, the intensity of the signal modulated noise, the intensity of the pure additive noise, and the signal frequency, respectively. It is found that a minimum exists in the d versus Q curve and the d versus D curve respectirely. The diffusion coefficient as a function of signal frequency Ω exhibits a pronounced maximum at Ω=Ω, here Ω is the oscillator frequency. The condition of diffusion coefficient d=0 is derived.
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Keywords:
- oscillator /
- diffusion /
- noise modulated signal /
- white cross-correlation
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