Oscillons in $\phi^6$-theories: Possible occurrence in MHD

TL;DR

This paper explores the potential for oscillon scalar field configurations to occur in the fourth state of matter, linking theoretical models with magnetohydrodynamics (MHD) phenomena.

Contribution

It demonstrates the existence of small-amplitude oscillons in a $$ scalar field theory and connects these findings to ideal MHD theory.

Findings

Oscillons can form in $$ scalar field models.

A connection between oscillons and MHD is established.

Perspectives for future research are discussed.

Abstract

In this work, we report on the possibility of occurrence of oscillon configurations in the fourth state of matter. Oscillons are extremely long-lived, time-periodic, spatially-localised scalar field structures. Starting from a scalar field theory in 1+1 space-time dimensions, we find out that small-amplitude oscillons can be obtained in the framework of a $\phi^6$ self-interacting potential. A connection between our results and ideal MHD theory is established. Perspectives for a development of the present work are pointed out.