Drift by Dichotomous Markov Noise
arXiv:cond-mat/0307336 · doi:10.1103/PhysRevE.68.041111
Abstract
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 {\em unstable} fixed points. The results are illustrated on the problem of the rocking ratchet.
24 pages, 6 figures, submitted to Physical Review E
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Cited by in corpus (11)
- Active processes in one dimension
- Non-Poisson dichotomous noise: higher-order correlation functions and aging
- Noise-induced bifurcations, Multiscaling and On-Off intermittency
- Rocking feedback controlled ratchets
- Pseudo energy wells in active systems
- Critical dynamics of phase transition driven by dichotomous Markov noise
- Coupling an elastic string to an active bath: the emergence of inverse damping
- On the Effect of Random Alternating Perturbations on Hazard Rates
- Stokes' Drift and Hypersensitive Response with Dichotomous Markov Noise
- A finite difference method for Piecewise Deterministic Processes with memory
- Dichotomous Markov noise: Exact results for out-of-equilibrium systems. A review