Collisions between kinks with long-range tails: a simple and efficient method

TL;DR

The paper introduces a highly efficient and simple method for constructing initial configurations for kink collisions with long-range tails, significantly reducing computational complexity and enabling easier simulations.

Contribution

It presents a novel approach using BPS-preserving impurities to generate initial kink configurations with minimal computational effort.

Findings

Algorithm is over 100 times faster than traditional methods.

Facilitates straightforward kink-antikink collision simulations.

Method reduces computational complexity substantially.

Abstract

We construct initial configurations for the scattering between kinks with long-range tails. For this purpose, we exploit kink solutions in the presence of Bogomol'nyi-Prasad-Sommerfield (BPS)-preserving impurities. This approach offers a highly efficient method and effortless implementation with a negligible computational cost. Our algorithm has a much smaller complexity than the usual minimization method, becoming more than a hundred times faster in some scenarios. Consequently, conducting kink-antikink simulations becomes remarkably straightforward.