Asymptotic behavior of self-affine processes in semi-infinite domains.
Asymptotic behavior of self-affine processes in semi-infinite domains.
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DOI：
10.1103/physrevlett.102.120602
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发表时间：
2008-11
影响因子：
8.6
通讯作者：
A. Zoia;A. Rosso;S. Majumdar
中科院分区：
文献类型：
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作者：
A. Zoia;A. Rosso;S. Majumdar
我们建议用分数布朗运动来模拟聚合物通过孔(移位)的随机动力学，并研究它在存在吸收边界时的行为。基于标度论据和数值模拟，我们提出了一个猜想，它提供了过程的持续指数theta和赫斯特指数H之间的联系，从而揭示了移位的时空特征。此外，我们证明了这一猜想更广泛地适用于在有界域中经历反常扩散的一类自仿射过程，并讨论了一些有意义的例子。
We propose to model the stochastic dynamics of a polymer passing through a pore (translocation) by means of a fractional Brownian motion and study its behavior in the presence of an absorbing boundary. Based on scaling arguments and numerical simulations, we present a conjecture that provides a link between the persistence exponent theta and the Hurst exponent H of the process, thus shedding light on the spatial and temporal features of translocation. Furthermore, we show that this conjecture applies more generally to a broad class of self-affine processes undergoing anomalous diffusion in bounded domains, and we discuss some significant examples.