MEMORY CORRELATION EFFECT ON THERMAL RATCHETS

We introduce correlation between steps in a random walk model with asy mmetric piecewise linear potential where either a force or the barrier height fluctuates between two states. We call the correlation between steps that we introduce in the model memory correlation to distinguis h it from the usual time correlation of the fluctuations on ratchets. The model gives a qualitative idea of the effect of finite inertia on thermal ratchets. The statistical measures that we have used to charac terize the particle movement are the ratchet current and the temporal autocorrelation function. We find steady-state current reversals upon varying the memory effect parameter. We find also a transition in the autocorrelation function with increasing memory correlation that indic ates a change from long memory correlated to randomly correlated motio n. (C) 1998 Published by Elsevier Science B.V. All rights reserved.