Disordering effects of colour in a system of coupled Brownian motors: phase diagram and anomalous-to-normal hysteresis transition

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Invited Talk LAWNP01, Proceedings to be published in Physica D, RevTex, 9 pgs, 5 figures

Scientific paper

10.1016/S0167-2789(02)00508-0

A system of periodically coupled nonlinear phase oscillators submitted to both additive and multiplicative white noises has been recently shown to exhibit ratchetlike transport, negative zero-bias conductance, and anomalous hysteresis. These features stem from the "asymmetry" of the stationary probability distribution function, arising through a noise-induced nonequilibrium phase transition which is "reentrant" as a function of the multiplicative noise intensity. Using an explicit mean-field approximation we analyze the effect of the multiplicative noises being coloured, finding a contraction of the ordered phase (and a reentrance as a function of the coupling) on one hand, and a shift of the transition from anomalous to normal hysteresis inside this phase on the other.

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