101. Resonant emergence of global and local spatiotemporal order in a nonlinear field model
- Author
-
Marcelo Gleiser and Rafael C. Howell
- Subjects
Physics ,Zero mode ,Field (physics) ,Statistical Mechanics (cond-mat.stat-mech) ,010308 nuclear & particles physics ,Non-equilibrium thermodynamics ,FOS: Physical sciences ,Pattern Formation and Solitons (nlin.PS) ,Computational Physics (physics.comp-ph) ,Nonlinear Sciences - Pattern Formation and Solitons ,01 natural sciences ,Synchronization ,High Energy Physics - Phenomenology ,Nonlinear system ,Classical mechanics ,High Energy Physics - Phenomenology (hep-ph) ,0103 physical sciences ,010306 general physics ,Physics - Computational Physics ,Scalar field ,Condensed Matter - Statistical Mechanics ,Equipartition theorem ,Parametric statistics - 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., Comment: 4 pages, 5 figures, LaTeX, minor corrections to eqs. 1,3,4 more...
- Published
- 2002