Lattice Dynamics and Melting of a Nonequilibrium Pattern

Abstract

We present a new description of nonequilibrium square patterns as a harmonically coupled crystal lattice. In a vertically oscillating granular layer, different transverse normal modes of the granular square-lattice pattern are observed for different driving frequencies ($f_d$) and accelerations. The amplitude of a mode can be further excited by either frequency modulation of $f_d$ or reduction of friction between the grains and the plate. When the mode amplitude becomes large, the lattice melts (disorders), in accord with the Lindemann criterion for melting in two-dimensions.

4 pages, 5 figures

References in corpus (3)

• Hexagons, Kinks and Disorder in Oscillated Granular Layers
• Shocks in supersonic sand
• Shocks in Vertically Oscillated Granular Layers

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