作间歇体扩散的颗粒反应柱上的有效表面运动
Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion
摘要：
在许多生物学和小规模技术应用中，颗粒可以瞬时结合到圆柱形表面。在两个结合事件之间，颗粒在本体中扩散，从而在圆柱体表面上产生有效的平移。我们在这里推导出表面上的有效运动，允许圆柱表面本身的附加扩散。我们找到明确的解决方案，在一个给定的时刻，有效的表面位移，以及表面传播的吸附粒子的数量。特别是子和superdiffusive制度被发现，以及一个有效的失速扩散可见的高原的均方位移。我们还研究了相应的第一通过和第一返回问题。
英文摘要：
In many biological and small scale technological applications particles may transiently bind to a cylindrical surface. In between two binding events the particles diffuse in the bulk, thus producing an effective translation on the cylinder surface. We here derive the effective motion on the surface, allowing for additional diffusion on the cylinder surface itself. We find explicit solutions for the number of adsorbed particles at one given instant, the effective surface displacement, as well as the surface propagator. In particular sub- and superdiffusive regimes are found, as well as an effective stalling of diffusion visible as a plateau in the mean squared displacement. We also investigate the corresponding first passage and first return problems.
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