M. Gleiser et A. Sornborger, Long-lived localized field configurations in small lattices: Application to oscillons, PHYS REV E, 62(1), 2000, pp. 1368-1374
Long-lived localized field configurations such as breathers, oscillons, or
more complex objects naturally arise in the context of a wide range of nonl
inear models in different numbers of spatial dimensions. We present a numer
ical method, which we call the adiabatic damping method, designed to study
such configurations in small lattices. Using three-dimensional oscillons in
phi(4) models as an example, we show that the method accurately (to one pa
rt in 10(5) or better) reproduces results obtained with static or dynamical
ly expanding lattices, dramatically cutting down in integration time. We fu
rther present results for two-dimensional oscillons, whose lifetimes would
be prohibitively long to study with conventional methods.