摘要翻译：
导出了亚扩散粒子与反应边界相互作用的边界条件。分子拥挤条件导致大分子在生物细胞中的亚扩散，结果表明，从边界到本体的解结合时间和从本体的再结合时间都具有相同指数的长尾分布。这导致弱遍历性破坏：通常，单个粒子要么保持束缚，要么在很长时间内保持在体积中。我们讨论了为什么这可能有利于DNA结合蛋白的体内基因调控，其典型浓度是纳摩尔
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英文标题：
《Subdiffusion and weak ergodicity breaking in the presence of a reactive
  boundary》
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作者：
Michael A. Lomholt, Irwin M. Zaid, Ralf Metzler
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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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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PDF链接：
https://arxiv.org/pdf/704.1769