Studying the topological stability of the $\lambda\Phi^4 $ kink

TL;DR

This paper investigates the topological stability of the lambda-phi4 kink under various energy perturbations, revealing different dissipation scenarios such as radiation, oscillons, kink-antikink pairs, and shock waves.

Contribution

It provides a detailed analysis of how different perturbations affect the stability and energy dissipation mechanisms of the lambda-phi4 kink beyond linear approximations.

Findings

Different perturbation parameters lead to distinct dissipation outcomes.

The study identifies conditions for radiation, oscillons, kink-antikink pairs, and shock waves.

Energy dissipation mechanisms depend on perturbation width, amplitude, and energy.

Abstract

The lambda-phi4 kink is linearly and topologically stable. We study how extra energy perturbations are dissipated beyond the linear regime. We found that depending on the width, amplitude and energy of a Gaussian perturbation different scenarios are possible: radiation, oscillons creation, kink anti-kink pairs production and shock waves.