Some Recent Developments on Kink Collisions and Related Topics

TL;DR

This review discusses recent advances in understanding kink dynamics, collision mechanisms, and radiation effects in 1+1 dimensional scalar field theories like $ ext{phi}^4$, sine-Gordon, and $ ext{phi}^6$, highlighting new insights into non-perturbative phenomena.

Contribution

It synthesizes recent research on spectral influences, resonant collision structures, and radiation pressure effects in kink interactions across several scalar field models.

Findings

Spectral structure impacts kink dynamics.

Resonant structures are linked to collision outcomes.

Negative radiation pressure observed in certain models.

Abstract

We review recent works on modeling of dynamics of kinks in 1+1 dimensional $\phi^4$ theory and other related models, like sine-Gordon model or $\phi^6$ theory. We discuss how the spectral structure of small perturbations can affect the dynamics of non-perturbative states, such as kinks or oscillons. We describe different mechanisms, which may lead to the occurrence of the resonant structure in the kink-antikink collisions. We explain the origin of the radiation pressure mechanism, in particular, the appearance of the negative radiation pressure in the $\phi^4$ and $\phi^6$ models. We also show that the process of production of the kink-antikink pairs, induced by radiation is chaotic.