Nonlinear response with dichotomous noise
نویسندگان
چکیده
منابع مشابه
Stokes’ Drift and Hypersensitive Response with Dichotomous Markov Noise
The response of a Brownian particle to an external force is one of the paradigms of statistical mechanics. Brownian motion is usually described as a Wiener process and a full mathematical analysis is possible based on the solution of the corresponding Fokker–Planck equation. However, a genuine Gaussian white noise does not exist in real systems, and the importance of other types of noises has l...
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We derive explicit results for the asymptotic probability density and drift velocity in systems driven by dichotomous Markov noise, including the situation in which the asymptotic dynamics crosses unstable fixed points. The results are illustrated on the problem of the rocking ratchet.
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The eeect of noise in a dichotomous process is studied from the Bayesian viewpoint. Winkler's approximation to the posterior distribution in the presence of noise is shown to break down badly near the limits of its application. Information loss is measured using eeective sample size. An account of the relationship between eeective sample size/information loss and sampling data is given which di...
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We propose a numerical method for solving stochastic differential equations with dichotomous Markov noise. The numerical scheme is formulated such that (i) the stochastic formula used follows the Stratonovich-Taylor form over the entire range of noise correlation times, including the Gaussian white noise limit; and (ii) the method is readily applicable to dynamical systems driven by arbitrary t...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.66.045603