Domain wall thickness and deformations of the field model

Abstract

We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e., kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming function, the exponential asymptotics of the corresponding kink solutions remain exponential, while the power-law ones remain power-law. However, the parameters of these asymptotics, which are related to the wall thickness, can change.

5 pages; Proceedings of the 5th International Conference on Particle Physics and Astrophysics (ICPPA-2020), Moscow, 5-9 October 2020

References in corpus (3)

• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Could the primordial radiation be responsible for vanishing of topological defects?
• Kinks in the relativistic model with logarithmic nonlinearity