发帖
雷达卡
摘要翻译：
我们考虑了一个在基片上运动的$n$标记随机步行者群体，并且在接触时在步行者之间有一个跳跃的激发。在时间$t$处携带激励的walker的标号$\Mathcal{X}(t)$可以看作是一个随机过程，其中跃迁概率本身也是一个随机过程。通过映射到两个更简单的过程，可以在长时间和低walkers密度的限制下计算出描述$\mathcal{X}(t)$的量。并与数值模拟结果进行了比较。考虑了扩散基底的几种不同拓扑结构。
---
英文标题：
《Random walk on a population of random walkers》
---
作者：
E. Agliari, R. Burioni, D. Cassi, F.M. Neri
---
最新提交年份：
2007
---
分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
---
英文摘要：
We consider a population of $N$ labeled random walkers moving on a substrate, and an excitation jumping among the walkers upon contact. The label $\mathcal{X}(t)$ of the walker carrying the excitation at time $t$ can be viewed as a stochastic process, where the transition probabilities are a stochastic process themselves. Upon mapping onto two simpler processes, the quantities characterizing $\mathcal{X}(t)$ can be calculated in the limit of long times and low walkers density. The results are compared with numerical simulations. Several different topologies for the substrate underlying diffusion are considered.
---
PDF链接：
https://arxiv.org/pdf/712.2849
京公网安备 11010802022788号
