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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