论文标题

一维莫特可变范围跳跃的极端政权

Extremal regime for one-dimensional Mott variable-range hopping

论文作者

Croydon, David A., Fukushima, Ryoki, Junk, Stefan

论文摘要

我们研究了表现出严重阻塞的政权,研究一维莫特随机步行的渐近行为。我们确定,在任何固定的时间内,适当响应的莫特随机步行都位于两个环境测量障碍物之间,其位置被证明具有极端缩放极限。此外,我们对包含它的障碍物之间的莫特随机步行的分布进行渐近描述。

We study the asymptotic behaviour of a version of the one-dimensional Mott random walk in a regime that exhibits severe blocking. We establish that, for any fixed time, the appropriately-rescaled Mott random walk is situated between two environment-measurable barriers, the locations of which are shown to have an extremal scaling limit. Moreover, we give an asymptotic description of the distribution of the Mott random walk between the barriers that contain it.

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