Long-Lived Localized Field Configurations in Small Lattices: Application to Oscillons

Details Long-Lived Localized Field Configurations in Small Lattices: Application to Oscillons Long-Lived Localized Field Configurations in Small Lattices: Application to Oscillons

1999-08-29

arxiv.org/abs/patt-sol/9909002v1

Phys.Rev. E62 (2000) 1368-1374

Physics

Condensed Matter

LaTeX, 8 pages using RevTeX. 6 PostScript figures included

Scientific paper

10.1103/PhysRevE.62.1368

Long-lived localized field configurations such as breathers, oscillons, or more complex objects naturally arise in the context of a wide range of nonlinear models in different numbers of spatial dimensions. We present a numerical method, which we call the {\it adiabatic damping method}, designed to study such configurations in small lattices. Using 3-dimensional oscillons in $\phi^4$ models as an example, we show that the method accurately (to a part in 10^5 or better) reproduces results obtained with static or dynamically expanding lattices, dramatically cutting down in integration time. We further present new results for 2-dimensional oscillons, whose lifetimes would be prohibitively long to study with conventional methods.

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