Lattice Dynamics and Melting of a Nonequilibrium Pattern

Details Lattice Dynamics and Melting of a Nonequilibrium Pattern Lattice Dynamics and Melting of a Nonequilibrium Pattern

2002-10-14

arxiv.org/abs/nlin/0210023v2

published Phys. Rev. Lett. {\bf 90}, 104302 (2003)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.90.104302

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.

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