OPTIMAL DIFFUSIVE TRANSPORT IN A TILTED PERIODIC POTENTIAL
2001 ◽
Vol 01
(01)
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pp. R25-R39
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Keyword(s):
We study the diffusive motion of an overdamped Brownian particle in a tilted periodic potential. Mapping the continuous dynamics onto a discrete cumulative process we find exact expressions for the diffusion coefficient and the Péclet number which characterize the transport. At a sufficiently strong but subcritical bias an optimized transport with respect to the noise strength is observed. These results are confirmed by numerical solution of the Fokker-Planck equation.
2008 ◽
Vol 08
(02)
◽
pp. L155-L173
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2019 ◽
Vol 18
(02)
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pp. 1940005
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2005 ◽
Vol 74
(8)
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pp. 2226-2232
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2009 ◽
Vol 373
(31)
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pp. 2629-2633
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2017 ◽
Vol 31
(12)
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pp. 1750082
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1979 ◽
Vol 98
(1-2)
◽
pp. 359-362
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2016 ◽
Vol 46
(2)
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pp. 122-146
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2008 ◽
Vol 155
(1-2)
◽
pp. 20-29
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Keyword(s):
1982 ◽
Vol 112
(1-2)
◽
pp. 315-330
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Keyword(s):