Localisation in the Bouchaud-Anderson Model
Localisation in the Bouchaud-Anderson Model
复制标题
Bouchaud-Anderson 模型中的本地化
DOI：
10.1016/j.spa.2016.04.033
复制
发表时间：
2014
影响因子：
1.4
通讯作者：
Richard Pymar
中科院分区：
文献类型：
--
作者：
S. Muirhead;Richard Pymar
众所周知，随机分支和捕获机制都会在随机游走中引起局部化现象。典型的例子分别是抛物线安德森和布肖陷阱模型。我们的目的是研究这些定位现象如何在结合抛物线安德森和布肖陷阱模型动力学的混合模型中相互作用。在某些自然假设下，我们表明，随机分支和捕获机制引起的定位效应往往会（i）相互增强，并且（ii）在随机场中引起局部相关性（种群动态的“拟合和稳定”假设）。
It is well-known that both random branching and trapping mechanisms can induce localisation phenomena in random walks; the prototypical examples being the parabolic Anderson and Bouchaud trap models respectively. Our aim is to investigate how these localisation phenomena interact in a hybrid model combining the dynamics of the parabolic Anderson and Bouchaud trap models. Under certain natural assumptions, we show that the localisation effects due to random branching and trapping mechanisms tend to (i) mutually reinforce, and (ii) induce a local correlation in the random fields (the ‘fit and stable’ hypothesis of population dynamics).