Two-Scale Oscillons

TL;DR

This paper introduces a new class of oscillons with off-center maxima and long pulsation times, providing exact solutions in 1-D and numerical evidence for their existence in higher dimensions, relevant to cosmological models.

Contribution

The paper presents a novel class of oscillons with unique spatial and temporal properties, extending understanding of nonlinear field solutions in multiple dimensions.

Findings

Exact 1-D solutions for off-center oscillons

Numerical evidence of higher-dimensional oscillons

Relevance to cosmological inflation scenarios

Abstract

Oscillons are spatially stationary, quasi-periodic solutions of nonlinear field theories seen in settings ranging from granular systems, low temperature condensates and early universe cosmology. We describe a new class of oscillon in which the spatial envelope can have "off centre" maxima and pulsate on timescales much longer than the fundamental frequency. These are exact solutions of the 1-D sine-Gordon equation and we demonstrate numerically that similar solutions exist in up to three dimensions for a range of potentials. The dynamics of these solutions match key properties of oscillons that may form after cosmological inflation in string-motivated monodromy scenarios.