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Anomalous Diffusion and Current Inversion Induced by Colored non-Gaussian Noise

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

We study stochastic process driven by colored non-Gaussian noises B.C. Bag and C.-K. Hu, Phys. Rev. E 75, April (2007) and find that the latter can induce ballistic diffusion in noise driven free particle process. The possible connection of the ballistic diffusion with diffusion of ions through ion channels is discussed. For the flashing ratchet model we find that there is a current inversion in the variation of the current with half cycle period which accounts potential on-off operation. The current inversion disappears if one switches from non-Gaussian to Gaussian noise. The phenomena of current inversion is also found to occur as the asymmetric character of the ratchet potential grows. On increasing noise correlation time ($\tau$) mean velocity of a particle first increases and then decreases after passing through a maximum if the noise is non-Gaussian. For Gaussian noise current monotonically decreases. The current is enhanced if the noise is more departure from Gaussian behavior.

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