Brownian walkers within subdiffusing territorial boundaries
Brownian walkers within subdiffusing territorial boundaries
复制标题
DOI：
10.1103/physreve.83.061138
复制
发表时间：
2011-06-23
影响因子：
2.4
通讯作者：
Harris, S.
中科院分区：
文献类型：
--
作者：
Giuggioli, L.;Potts, J. R.;Harris, S.
受地域涌现的集体现象的启发，动物通过它们沉积的气味标记移动和相互作用，我们研究了一维布朗步行者在随机环境中的动力学，该环境由自身异常扩散的限制边界组成。我们展示了如何在某些参数条件下，将非马尔可夫多体问题的地域化约为这里研究的可解析处理的单体问题。精确计算了一维布朗步行者在亚扩散边界内的均方位移（MSD），并推广了边界不移动时的已知结果。此外，在某些条件下，如果边界动力学是强次扩散的，我们在MSD的时间依赖中显示出有趣的非单调性，从而产生瞬态负扩散。
Inspired by the collective phenomenon of territorial emergence, whereby animals move and interact through the scent marks they deposit, we study the dynamics of a 1D Brownian walker in a random environment consisting of confining boundaries that are themselves diffusing anomalously. We show how to reduce, in certain parameter regimes, the non-Markovian, many-body problem of territoriality to the analytically tractable one-body problem studied here. The mean square displacement (MSD) of the 1D Brownian walker within subdiffusing boundaries is calculated exactly and generalizes well known results when the boundaries are immobile. Furthermore, under certain conditions, if the boundary dynamics are strongly subdiffusive, we show the appearance of an interesting nonmonotonicity in the time dependence of the MSD, giving rise to transient negative diffusion.