Continuum-type stability balloon in oscillated granular layers

Abstract

The stability of convection rolls in a fluid heated from below is limited by secondary instabilities, including the skew-varicose and crossroll instabilities. We observe a stability boundary defined by the same instabilities in stripe patterns in a vertically oscillated granular layer. Molecular dynamics simulations show that the mechanism of the skew-varicose instability in granular patterns is similar to that in convection. These results suggest that pattern formation in granular media can be described by continuum models analogous to those used in fluid systems.

4 pages, 6 ps figs, submitted to PRL

References in corpus (1)

• Localized and Cellular Patterns in a Vibrated Granular Layer

Cited by in corpus (10)

• Patterns and Collective Behavior in Granular Media: Theoretical Concepts
• Transport Coefficients for Granular Media from Molecular Dynamics Simulations
• Dynamics and Selection of Giant Spirals in Rayleigh-Benard Convection
• A Continuum Description of Vibrated Sand
• Wavelength Scaling and Square/Stripe and Grain Mobility Transitions in Vertically Oscillated Granular Layers
• Mean flow in hexagonal convection: stability and nonlinear dynamics
• Square to stripe transition and superlattice patterns in vertically oscillated granular layers
• Faraday Instability in a Surface-Frozen Liquid
• Experimental characterization of vibrated granular rings
• Nearest pattern interaction and global pattern formation