Chechkin Aleksei V, Zaid Irwin M, Lomholt Michael A, Sokolov Igor M, Metzler Ralf
Institute for Theoretical Physics NSC KIPT, Akademicheskaya st. 1, 61108 Kharkov, Ukraine.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 1):041101. doi: 10.1103/PhysRevE.86.041101. Epub 2012 Oct 1.
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.
我们考虑一个粒子的有效表面运动，该粒子间歇性地从平面表面脱离并进行体相漂移。基于随机游走方法，我们推导了包括表面 - 体相耦合的表面扩散和体相扩散的扩散方程。从这些精确的动力学方程中，我们解析地得到了有效表面运动的传播子。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时间动力学。
