Domain Wall Lattices

TL;DR

This paper constructs and analyzes stable lattices composed of alternating kinks and anti-kinks, revealing their Toda lattice dynamics and potential as metastable states during phase transitions.

Contribution

It introduces a new class of kink-antikink lattices, demonstrating their stability and dynamic behavior as Toda lattices, which is a novel insight into phase transition phenomena.

Findings

Lattices with alternating kinks and anti-kinks are stable in certain models.

The lattice dynamics follow the Toda lattice model.

Such lattices can act as metastable states during phase transitions.

Abstract

We construct lattices with alternating kinks and anti-kinks. The lattice is shown to be stable in certain models. We consider the forces between kinks and antikinks and find that the lattice dynamics is that of a Toda lattice. Such lattices are exotic metastable states in which the system can get trapped during a phase transition.