物理
格子(音乐)
统计物理学
反常扩散
扩散
随机游动
极限(数学)
粒子(生态学)
职位(财务)
硬核
凝聚态物理
量子力学
数学分析
数学
统计
知识管理
海洋学
创新扩散
财务
计算机科学
声学
经济
地质学
作者
Olivier Bénichou,Pierre Illien,Gleb Oshanin,Alessandro Sarracino,Raphaël Voituriez
标识
DOI:10.1103/physrevlett.115.220601
摘要
We study the dynamics of a tracer particle (TP) on a comb lattice populated by randomly moving hard-core particles in the dense limit. We first consider the case where the TP is constrained to move on the backbone of the comb only. In the limit of high density of the particles, we present exact analytical results for the cumulants of the TP position, showing a subdiffusive behavior $\ensuremath{\sim}{t}^{3/4}$. At longer times, a second regime is observed where standard diffusion is recovered, with a surprising nonanalytical dependence of the diffusion coefficient on the particle density. When the TP is allowed to visit the teeth of the comb, based on a mean-field-like continuous time random walk description, we unveil a rich and complex scenario with several successive subdiffusive regimes, resulting from the coupling between the geometrical constraints of the comb lattice and particle interactions. In this case, remarkably, the presence of hard-core interactions asymptotically speeds up the TP motion along the backbone of the structure.
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