反应边界下的次扩散和弱遍历破缺
Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary
摘要：
本文导出了具有有限反应速率的反应边界与亚扩散粒子相互作用的边界条件。分子拥挤的条件下，被发现会导致subdiffusion较大的分子在生物细胞中，示出效果长尾分布具有相同的指数从边界到散装和从散装重新绑定时间的未绑定时间。这会导致弱遍历性破缺：通常，单个粒子要么保持束缚，要么保持很长时间。我们讨论了为什么这可能是有益的体内基因调控的DNA结合蛋白，其典型的浓度是纳摩尔
英文摘要：
We derive the boundary condition for a subdiffusive particle interacting with a reactive boundary with finite reaction rate. Molecular crowding conditions, that are found to cause subdiffusion of larger molecules in biological cells, are shown to effect long-tailed distributions with identical exponent for both the unbinding times from the boundary to the bulk and the rebinding times from the bulk. This causes a weak ergodicity breaking: typically, an individual particle either stays bound or remains in the bulk for very long times. We discuss why this may be beneficial for in vivo gene regulation by DNA-binding proteins, whose typical concentrations are nanomolar
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