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arXiv 1707.05072cond-mat.stat-mechcond-mat.dis-nn
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从淬火无序到连续时间随机游动

From Quenched Disorder to Continuous Time Random Walk

Stanislav Burov

摘要:

本文主要研究具有淬火无序的系统中输运的定量表示。给出了淬火陷阱模型到连续时间随机游走的显式映射。线性时间变换:在亚扩散区域,对于非线性不变格点上的瞬态过程,$t\to t/Λ^{1/α}$是渐近映射的充分条件。建立了常数$Λ^{1/α}$的精确形式。给出了猝灭陷阱模型的无序平均位置概率密度函数,并给出了扩散系数和漂移的解析表达式。

英文摘要:

This work focuses on quantitative representation of transport in systems with quenched disorder. Explicit mapping of the quenched trap model to continuous time random walk is presented. Linear temporal transformation: $t\to t/Λ^{1/α}$ for transient process on translationally invariant lattice, in the sub-diffusive regime, is sufficient for asymptotic mapping. Exact form of the constant $Λ^{1/α}$ is established. Disorder averaged position probability density function for quenched trap model is obtained and analytic expressions for the diffusion coefficient and drift are provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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