Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Department of Physics and Astronomy
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.
Gleiser M, Howell RC. Resonant emergence of global and local spatiotemporal order in a nonlinear field model. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):065203. doi: 10.1103/PhysRevE.68.065203. Epub 2003 Dec 23. PMID: 14754254.
Dartmouth Digital Commons Citation
Gleiser, Marcelo and Howell, Rafael C., "Resonant Emergence of Global And Local Spatiotemporal Order in a Nonlinear Field Model" (2003). Dartmouth Scholarship. 1996.