Effect of anomalous diffusion on directed motion in a multiplicative noise driven flashing ratchet system |
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Authors: | P Majee G Goswami M K Sen and B C Bag |
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Institution: | (1) O.O. Chuiko Institute of Surface Chemistry of the National Academy of Sciences of Ukraine, General Naumov St. 17, 03164 Kyiv, Ukraine |
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Abstract: | In this paper we have studied the directed motion of a Brownian particle
in a multiplicative noise
driven flashing ratchet system. Our investigation shows
the current (j) is either maximum or minimum
in the super-diffusion (SPD) region depending on the asymmetric character of the ratchet potential.
But the optimum behavior disappears for the symmetric
ratchet potential and there is a current inversion around the normal diffusion (ND). With increase of
half cycle period(tp/2) (which controls the on-off operation
mechanism of the potential), j
passes through a maximum and the peak height is the highest for the SPD. Also
at low asymmetry in the system, the mobility is more dominating for
the normal and the super-diffusion cases than the sub-diffusion.
For large asymmetry in the ratchet potential,
the diffusion control positive current
is larger for the ND compared to the other cases.
Finally, we observe that there is a maximum in the variation of current as a function of noise correlation time for
SPD. But it disappears for the other cases. |
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Keywords: | |
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