Formation of periodic and localized patterns in an oscillating granular layer

Igor S. Aranson and Lev S. Tsimring

Physica A: Statistical Mechanics and its Applications, 1998, vol. 249, issue 1, 103-110

Abstract: 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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:249:y:1998:i:1:p:103-110

DOI: 10.1016/S0378-4371(97)00437-8

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