Current in a three-dimensional periodic tube with unbiased forces

Details Current in a three-dimensional periodic tube with unbiased forces Current in a three-dimensional periodic tube with unbiased forces

2007-09-15

arxiv.org/abs/0709.2402v1

Phys. Rev. E 74(2006) 051114

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.74.051114

Transport of a Brownian particle moving along the axis of a three-dimensional asymmetric periodic tube is investigated in the presence of asymmetric unbiased forces. The reduction of the coordinates may involve not only the appearance of entropic barrier but also the effective diffusion coefficient. It is found that in the presence of entropic barrier, the asymmetry of the tube shape and the asymmetry of the unbiased forces are the two ways of inducing a net current. The current is a peaked function of temperature which indicates that the thermal noise may facilitate the transport even in the presence of entropic barrier. There exists an optimized radius at the bottleneck at which the current takes its maximum value. Competition between the two opposite driving factors may induce current reversal.

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