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Dispersive anomalous diffusive transport in ratchets with long-range correlated spatial disorder
Lei Gao1, Xiaoqin Luo, Shiqun Zhu
1CCAST (World Laboratory), Beijing, China. lgaophys@pub.sz.jsinfo.net
Abstract:
The effects of quenched disorder with long-range spatial correlations on the transport properties of an overdamped periodic ratchet are investigated. The modified Fourier-filtering method is applied to generate the long-range correlated spatial disorder with statistical properties eta(x)eta(x') approximately /x'-x/(-gamma), where gamma is the correlation exponent. Small amounts of this kind of quenched disorder are introduced in the equation of overdamped motion of a continuous time system, and the first two moments C1(t)=
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