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Resonant emergence of global and local spatiotemporal order in a nonlinear field model

2002/09/16 by Marcelo Gleiser, Gleiser, Marcelo, Rafael C. Howell +1
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Pattern Formation and Solitons (nlin.PS) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-ph #nlin.PS #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0209176

4 pages, 5 figures, LaTeX, minor corrections to eqs. 1,3,4

arxiv created 2003/09/08 · arxiv updated 2009/11/30

Abstract

We investigate the nonequilibrium evolution of a scalar field in (2+1) dimensions. The field is set in a double-well potential in contact (open) or not (closed) with a heat bath. For closed systems, we observe the synchronized emergence of coherent spatiotemporal configurations, identified with oscillons. This initial global ordering degenerates into localized order until all oscillons disappear. We show that the synchronization is driven by resonant parametric oscillations of the field's zero mode and that local ordering is only possible outside equipartition. None of these orderings occur for open systems.

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