...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: subdiffusion is faster than normal diffusion
【24h】

Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: subdiffusion is faster than normal diffusion

机译：分数Fokker-Planck方程之后的异常子变化的极端统计：SubDiffusific比正常扩散更快

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Anomalous subdiffusion characterizes transport in diverse physical systems and is especially prevalent inside biological cells. In cell biology, the prevailing model for chemical activation rates has recently changed from the first passage time (FPT) of a single searcher to the FPT of the fastest searcher out of many searchers to reach a target, which is called an extreme statistic or extreme FPT. In this paper, we investigate extreme statistics of searchers which move by anomalous subdiffusion. We model subdiffusion by a fractional Fokker-Planck equation involving the Riemann-Liouville fractional derivative. We prove an explicit and very general formula for every moment of subdiffusive extreme FPTs and approximate their full probability distribution. While the mean FPT of a single subdiffusive searcher is infinite, the fastest subdiffusive searcher out of many subdiffusive searchers typically has a finite mean FPT. In fact, we prove the counterintuitive result that extreme FPTs of subdiffusion are faster than extreme FPTs of normal diffusion. Mathematically, we employ a stochastic representation involving a random time change of a standard Ito drift-diffusion according to the trajectory of the first crossing time inverse of a Levy subordinator. A key step in our analysis is generalizing Varadhan's formula from large deviation theory to the case of subdiffusion, which yields the short-time distribution of subdiffusion in terms of a certain geodesic distance.
机译：异常的子抗区表征在不同物理系统中的运输，并且在生物细胞内部特别普遍。在细胞生物学中，化学激活率的普遍模型最近从单个搜索者的第一个通行时间（FPT）改变到许多搜索者的最快搜索者的FPT来达到目标​​，这被称为极端统计或极端FPT。在本文中，我们调查了由异常的子扩展的超级统计数据。我们通过涉及riemann-liouville分数衍生物的分数Fokker-Planck方程模型。我们证明了一个明确的和非常普通的公式，以获得诸多屈抗极端FPT的每一刻，并近似完全概率分布。虽然单个SubDiffiuse Searcher的平均FPT是无限的，但许多潜水广播者的最快的Subdiffiuse Searcher通常具有有限的平均FPT。事实上，我们证明了违反直觉的结果，即低端FPT的极端FPT比正常扩散的极端FPT更快。在数学上，我们采用随机表示，涉及根据征收下属者的第一交叉时间逆的轨迹的标准ITO漂移扩散的随机时间变化。我们分析中的一个关键步骤是将varadhan的公式从大的偏差理论概括为低偏差的情况，这在某个测地距的方面产生了子边的短时分布。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号