Optimal transport and phase transition in dichotomic ratchets

M Kostur, G Knapczyk and J Łuczka

Physica A: Statistical Mechanics and its Applications, 2003, vol. 325, issue 1, 69-77

Abstract: We revisit the problem of transport of an overdamped particle in spatially periodic potentials which is driven by exponentially correlated dichotomic noise of zero mean value. There are three transport regimes: transportless, non-diffusive and diffusive. The stationary average velocity of the particle can exhibit a behavior similar to a second-order phase transition with respect to an ‘order parameter’ being the noise amplitude: for a small noise amplitude it is zero. When the noise exceeds the critical amplitude, the non-diffusive regime occurs in which the velocity is an increasing (or decreasing) function of the noise amplitude. Near the onset of the transition point, it obeys the power-law scaling with the exponent which depends on order of the force at its global minimum. In the diffusive regime, the stationary average velocity is a decreasing (or increasing) function of the noise amplitude. The maximal absolute velocity is for the noise amplitude which separates the non-diffusive and diffusive regimes.

Keywords: Noise-induced transport; Langevin equation; Dichotomic noise (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:325:y:2003:i:1:p:69-77

DOI: 10.1016/S0378-4371(03)00185-7

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