Biased diffusion in periodic potentials: Three types of force dependence of effective diffusivity and generalized Lifson-Jackson formula
Biased diffusion in periodic potentials: Three types of force dependence of effective diffusivity and generalized Lifson-Jackson formula
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DOI：
10.1063/1.5120279
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发表时间：
2019-10-07
影响因子：
4.4
通讯作者：
Dagdug, Leonardo
中科院分区：
文献类型：
--
作者：
Berezhkovskii, Alexander M.;Dagdug, Leonardo
在偏置的周期势场中，颗粒的扩散输运由有效漂移速度和扩散率表征，它们是偏置力的函数。我们推导出一个简单的精确表达式的有效扩散率和使用它来表明，这个量的力的依赖性可能是一个非单调函数的最大值[如Reimann等人的工作中所示。87，010602（2001）对于周期性正弦电势]或具有最小值或单调函数。依赖性的形状由周期势的形状决定。
Diffusive transport of particles in a biased periodic potential is characterized by the effective drift velocity and diffusivity, which are functions of the biasing force. We derive a simple exact expression for the effective diffusivity and use it to show that the force dependence of this quantity may be a nonmonotonic function with a maximum [as shown in the work of Reimann et al. Phys. Rev. Lett. 87, 010602 (2001) for periodic sinusoidal potential] or with a minimum, or a monotonic function. The shape of the dependence is determined by the shape of the periodic potential.