Passive random walkers and riverlike networks on growing surfaces
Passive random walkers and riverlike networks on growing surfaces
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DOI：
10.1103/physreve.66.021104
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发表时间：
2002-08-01
影响因子：
2.4
通讯作者：
Chin, CS
中科院分区：
文献类型：
--
作者：
Chin, CS
在生长曲面上引入被动随机步行者动力学。步行者被设计成向上或向下漂移，然后跟随波动表面的特定拓扑特征，例如山顶或谷底。因此，被动随机步行者可以用于直接探索否则稍微隐藏的拓扑特征的缩放特性。例如，步行者允许我们直接测量潜在的增长动力学的动力学指数。我们使用Kardar-Parisi-Zhang（KPZ）型表面生长作为例子。一组合并的被动步行者的世界线显示出非平凡的合并行为，并显示出时空中表面脊的河流状网络结构。在其他动力学中，如Edwards-Wilkinson生长，这并不发生。KPZ型表面生长中的被动随机游动与无噪声Burgers方程中的冲击波密切相关。我们还简要讨论了它们与湍流中被动标量动力学的关系。
Passive random walker dynamics is introduced on a growing surface. The walker is designed to drift upward or downward and then follow specific topological features, such as hill tops or valley bottoms, of the fluctuating surface. The passive random walker can thus be used to directly explore scaling properties of otherwise somewhat hidden topological features. For example, the walker allows us to directly measure the dynamical exponent of the underlying growth dynamics. We use the Kardar-Parisi-Zhang (KPZ) -type surface growth as an example. The world lines of a set of merging passive walkers show nontrivial coalescence behaviors and display the riverlike network structures of surface ridges in space-time. In other dynamics, such as Edwards-Wilkinson growth, this does not happen.The passive random walkers in KPZ-type surface growth are closely related to the shock waves in the noiseless Burgers equation. We also briefly discuss their relations to the passive scalar dynamics in turbulence.