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A moment approach to non-Gaussian colored noises | | Hideo Hasegawa
; | | Date: |
7 Jan 2007 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | | Abstract: | The Langevin model subjected to non-Gaussian noise has been discussed, by using the second-order moment method with the two approaches generating the noise. We have derived the effective differential equation (DE) for a variable $x$, from which the stationary probability distribution $P(x)$ has been calculated with the use of the Fokker-Planck equation. The result of $P(x)$ calculated by the moment method is compared to several expressions obtained by different methods such as the universal colored noise approximation (UCNA) proposed by Jung and H"{a}nggi [Phys. Rev. Lett. {f 35}, 4464 (1987)] and the functional-integral method. It has been shown that our $P(x)$ is in good agreement with that of direct simulation (DS). We have also discussed dynamics of the model with an external input, solving DEs in the moment method. | | Source: | arXiv, cond-mat/0701133 | | Services: | Forum | Review | PDF | Favorites | |
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