Multi-kinks and composite oscillons in a commensurable and non degenerate double sine-Gordon model
Abstract
In this paper, we introduce a commensurable and non-degenerate double sine-Gordon model, in which a partial breaking of vacuum degeneracy provides a mechanism for the emergence of static multi-kinks. These multi-kinks are stable field configurations with internal structure, consisting of localized energy packets with well-defined separations. The properties of the multi-kinks are thoroughly analyzed, including the novel phenomenology that arises during their collisions. In particular, we observe the emergence of long-lived composite oscillons that reflect the original structure of the multi-kinks. The sub-kink's positions and their vibration modes provide collective coordinates that are used to construct a phenomenological model, which offers a good qualitative explanation of the observed oscillon properties. Radiation effects are consistently incorporated, revealing that they play an important role in the observed synchronization of the oscillon's vibrational components.
Keywords
Cite
@article{arxiv.2407.09682,
title = {Multi-kinks and composite oscillons in a commensurable and non degenerate double sine-Gordon model},
author = {Jonathan Lozano-Mayo and Manuel Torres-Labansat},
journal= {arXiv preprint arXiv:2407.09682},
year = {2025}
}
Comments
34 pages, 17 figures, 1 table. Title modified. This work is an extended and improved version of our previous manuscript arXiv:2407.09682 Explores in detail the properties of the proposed field model and its multi-kinks solutions. Added a collective coordinate model and a full analysis of the composite oscillon configuration