Random walks of oriented particles on fractals
Random walks of oriented particles on fractals
复制标题
DOI：
10.1088/1751-8113/47/15/155001
复制
发表时间：
2014-04-18
影响因子：
2.1
通讯作者：
Herrmann, Heiko
中科院分区：
文献类型：
--
作者：
Haber, Rene;Prehl, Janett;Herrmann, Heiko
点粒子在分形上的随机行走表现出亚扩散行为，其反常扩散指数小于1，相应的随机行走维数大于2。这是由于分形结构中可用的空间有限。在这里，我们赋予粒子的方向和分析他们的动力学分形结构。特别是，我们专注于本地周围的分形结构和粒子取向，这是使用适当的移动类建模之间的相互作用的动力学后果。这些相互作用可能导致颗粒暂时或永久地卡在结构的某些部分中。一个令人惊讶的发现是，随机行走尺寸不受取向的影响，而扩散常数显示出各种有趣和令人惊讶的功能。
Random walks of point particles on fractals exhibit subdiffusive behavior, where the anomalous diffusion exponent is smaller than one, and the corresponding random walk dimension is larger than two. This is due to the limited space available in fractal structures. Here, we endow the particles with an orientation and analyze their dynamics on fractal structures. In particular, we focus on the dynamical consequences of the interactions between the local surrounding fractal structure and the particle orientation, which are modeled using an appropriate move class. These interactions can lead to particles becoming temporarily or permanently stuck in parts of the structure. A surprising finding is that the random walk dimension is not affected by the orientation while the diffusion constant shows a variety of interesting and surprising features.