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Phys. Rev. Lett. 90, 104302 (2003) [4 pages]

Lattice Dynamics and Melting of a Nonequilibrium Pattern

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Daniel I. Goldman*, M. D. Shattuck, Sung Joon Moon, J. B. Swift, and Harry L. Swinney
Center for Nonlinear Dynamics, The University of Texas at Austin, Austin, Texas 78712

Received 1 October 2002; published 14 March 2003

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 (fd) and accelerations. The amplitude of a mode can be further excited by either frequency modulation of fd 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.104302
DOI:
10.1103/PhysRevLett.90.104302
PACS:
45.70.Qj, 47.54.+r, 89.75.Kd

*Electronic address: goldman@chaos.utexas.edu

URL: http://chaos.ph.utexas.edu/~goldman