Optimal diffusive transport in a tilted periodic potential

被引:170
|
作者
Lindner, B [1 ]
Kostur, M [1 ]
Schimansky-Geier, L [1 ]
机构
[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany
来源
FLUCTUATION AND NOISE LETTERS | 2001年 / 1卷 / 01期
关键词
brownian motion; diffusion; periodic potentials; transport;
D O I
10.1142/S0219477501000056
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 Peclet 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.
引用
收藏
页码:R25 / R39
页数:15
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