Abstract
Oscillons are long-lived, slowly radiating solutions of nonlinear classical relativistic field theories. Recently it was discovered that in one spatial dimension their decay may proceed in "staccato" bursts. Here we perform a systematic numerical study to demonstrate that although this behaviour is not confined to one spatial dimension, it quickly becomes unobservable when the dimension of space is increased, at least for the class of potentials considered here. To complete the picture we also present explicit results on the dimension dependence of the collapse instability observed for three-dimensional oscillons.
Highlights
Nondissipative configurations play a very important role in classical field theory
IV we present the results of our numerical investigations, starting with a validation of our methods by reproducing dynamics in three spatial dimensions and the proceeding to the case of interest
In the present work we studied the dependence of oscillon decay on the number of spatial dimensions
Summary
Nondissipative configurations play a very important role in classical field theory These are solutions of the equation of motion, for which the energy density remains localized during the time evolution. Even in theories where such conserved charges or adiabatic mechanisms don’t exist, it is still possible to find metastable solutions, which are strictly speaking dissipative, but the energy dissipates very slowly compared to the characteristic dynamical time scales. These are spatially localized, coherently oscillating, long-living solutions of relativistic classical scalar field theories, known as oscillons. The main conditions for their existence are that the initial configuration’s energy is higher
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