Bulk-mediated surface diffusion along a cylinder: Propagators and crossovers
Bulk-mediated surface diffusion along a cylinder: Propagators and crossovers
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DOI：
10.1103/physreve.79.040105
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发表时间：
2009-04-01
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
我们考虑的有效运动沿着一个圆柱体的粒子，自由扩散的散装和间歇绑定到圆柱体。从一个确切的方法，我们推导出不同的制度的有效运动沿着的圆柱体的物理速率为绑定/解绑定和体扩散。我们得到一个瞬态制度的超扩散，有趣的是，饱和制度的圆柱形几何特征。在有限系统中，这种饱和不是终端，而是最终转变为沿圆柱沿着的正常扩散。推导了颗粒在圆柱表面的首次通过行为。实际系统的后果进行了讨论。
We consider the effective motion along a cylinder of a particle that freely diffuses in the bulk and intermittently binds to the cylinder. From an exact approach we derive the different regimes of the effective motion along the cylinder characterized by physical rates for binding/unbinding and the bulk diffusivity. We obtain a transient regime of superdiffusion and, interestingly, a saturation regime characteristic for the cylindrical geometry. This saturation in a finite system is not terminal but eventually turns over to normal diffusion along the cylinder. The first passage behavior of particles to the cylinder surface is derived. Consequences for actual systems are discussed.