圆柱体上的体介导表面扩散：传播子和交叉
Bulk-mediated surface diffusion on a cylinder: propagators and crossovers
摘要：
我们考虑的有效表面运动的粒子，自由扩散的散装和间歇地绑定到该表面。从一个确切的方法，我们得到各种制度的有效表面运动的物理速率结合/解结合和体扩散率的特征。我们得到一个瞬态制度的超扩散，特别是，饱和制度的圆柱形几何特征。然而，在有限系统中，这种饱和不是终端，而是最终转变为正常的表面扩散。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。
英文摘要：
We consider the effective surface motion of a particle that freely diffuses in the bulk and intermittently binds to that surface. From an exact approach we derive various regimes of the effective surface motion characterized by physical rates for binding/unbinding and the bulk diffusivity. We obtain a transient regime of superdiffusion and, in particular, a saturation regime characteristic for the cylindrical geometry. This saturation, however, in a finite system is not terminal but eventually turns over to normal surface diffusion. The first passage behavior of particles to the cylinder surface is derived. Consequences for actual systems are discussed.
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