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Formation of periodic and localized patterns in an oscillating granular layer

机译:在振动的颗粒层中形成周期性和局部的图案

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摘要

A simple phenomenological model for pattern formation in a vertically vibrated layer of granular particles is proposed. This model exhibits a variety of stable cellular patterns including standing rolls and squares as well as localized excitations (oscillons and worms), similar to recent experimental observations (Umbanhowar et al., 1996). The model is an order parameter equation for the parametrically excited waves coupled to the mass conservation law. The structure and dynamics of the solutions resemble closely the properties of patterns observed in the experiments. (C) 1998 Published by Elsevier Science B.V. All rights reserved. [References: 14]
机译:提出了一种在颗粒垂直振动层中形成图案的简单现象学模型。与最近的实验观察结果类似(Umbanhowar等,1996),该模型表现出各种稳定的细胞模式,包括站立的辊和正方形以及局部激发(摇动和蠕虫)。该模型是耦合到质量守恒定律的参量激发波的阶数参数方程。溶液的结构和动力学与实验中观察到的图案特性非常相似。 (C)1998,Elsevier Science B.V.保留所有权利。 [参考:14]

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