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arXiv 2003.08662cond-mat.softcond-mat.stat-mech
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密实振动流化颗粒物质中的慢时标

Slow time scales in a dense vibrofluidized granular material

Andrea Plati, Andrea Puglisi

摘要:

在非保守系统(如粒状材料)中模拟集体运动是困难的,因为一般的微观到宏观的方法是不可用的:没有哈密顿量,相空间中没有已知的定态密度,没有已知的一小组相关变量。现象学粗粒度模型是一个很好的选择,前提是已经确定了一些缓慢的可观测量,并收集了足够数量的动态数据。在这里,我们研究的情况下,振动流化致密颗粒材料。示踪剂的实验研究,分散到介质中,显示了许多时间尺度的证据:快速弹道,中间笼,慢超扩散,非常慢的扩散。数值研究表明,示踪剂的超扩散与颗粒介质的缓慢旋转漂移有关。在这里,我们提供了一个更深入的了解慢尺度的颗粒介质,并提出了一个新的唯象模型,这样一个“世俗”的动力学。基于颗粒介质的模型,我们还介绍了示踪剂(快和慢)动力学模型,它包括在一个随机系统的三个耦合变量的方程,因此比以前的模型更精细和成功。

英文摘要:

Modeling collective motion in non-conservative systems, such as granular materials, is difficult since a general microscopic-to-macroscopic approach is not available: there is no Hamiltonian, no known stationary densities in phase space, not a known small set of relevant variables. Phenomenological coarse-grained models are a good alternative, provided that one has identified a few slow observables and collected a sufficient amount of data for their dynamics. Here we study the case of a vibrofluidized dense granular material. The experimental study of a tracer, dispersed into the media, showed the evidence of many time scales: fast ballistic, intermediate caged, slow superdiffusive, very slow diffusive. A numerical investigation has demonstrated that tracer's superdiffusion is related to slow rotating drifts of the granular medium. Here we offer a deeper insight into the slow scales of the granular medium, and propose a new phenomenological model for such a "secular" dynamics. Based upon the model for the granular medium, we also introduce a model for the tracer (fast and slow) dynamics, which consists in a stochastic system of equations for three coupled variables, and is therefore more refined and successful than previous models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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