Diffusion and current of Brownian particles in tilted piecewise linear potentials: Amplification and coherence

被引:23
作者
Heinsalu, E [1 ]
Tammelo, R [1 ]
Ord, T [1 ]
机构
[1] Univ Tartu, Inst Theoret Phys, EE-51010 Tartu, Estonia
来源
PHYSICAL REVIEW E | 2004年 / 69卷 / 02期
关键词
D O I
10.1103/PhysRevE.69.021111
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Overdamped motion of Brownian particles in tilted piecewise linear periodic potentials is considered. Explicit algebraic expressions for the diffusion coefficient, current, and coherence level of Brownian transport are derived. Their dependencies on temperature, tilting force, and the shape of the potential are analyzed. The necessary and sufficient conditions for the nonmonotonic behavior of the diffusion coefficient as a function of temperature are determined. The diffusion coefficient and coherence level are found to be extremely sensitive to the asymmetry of the potential. It is established that at the values of the external force, for which the enhancement of diffusion is most rapid, the level of coherence has a wide plateau at low temperatures with the value of the Peclet factor 2. An interpretation of the amplification of diffusion in comparison with free thermal diffusion in terms of probability distribution is proposed.
引用
收藏
页码:021111 / 1
页数:7
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