The diffusion properties of overdamped particles moving in spatially symmetrical periodic potentials subject to both symmetrical time-periodic driving and stochastic forcing are investigated [the typical model formally reads ̇ \.x0ex0ex=0ex0ex-V^'(x)+U(t)+γ(t), V(L±x)0ex0ex=0ex0exV(x), U(T+t)0ex0ex=0ex0exU(t), 〈γ(t)〉0ex0ex=0ex0ex0, 〈γ(t)γ(τ)〉0ex0ex=0ex0ex2Dδ(t-τ)]. It is found that the diffusion rate can be greatly enhanced if the various forcings are chosen in an optimal matching. In particular, we may get a diffusion rate larger than the rate of free diffusion.
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Hu et al. (1996) studied this question.
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