Bulk-mediated diffusion on a planar surface: Full solution
Bulk-mediated diffusion on a planar surface: Full solution
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DOI：
10.1103/physreve.86.041101
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发表时间：
2012-10-01
影响因子：
2.4
通讯作者：
Metzler, Ralf
中科院分区：
文献类型：
--
作者：
Chechkin, Aleksei V.;Zaid, Irwin M.;Metzler, Ralf
我们考虑粒子的有效表面运动，该粒子间歇性地从平面上释放并执行批量偏移。基于随机游走方法，我们推导了表面和体扩散的扩散方程，包括表面-体耦合。从这些精确的动力学方程中，我们分析地获得了有效表面运动的传播因子。这种方法使我们能够推断出表面上的超扩散、柯西型行为，以及限制柯西形式的精确截止。此外，我们研究了表面运动的长期动力学。
We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equations, we analytically obtain the propagator of the effective surface motion. This approach allows us to deduce a superdiffusive, Cauchy-type behavior on the surface, together with exact cutoffs limiting the Cauchy form. Moreover, we study the long-time dynamics for the surface motion.