Long-range interaction of kinks in higher-order polynomial models
Abstract
We obtain asymptotic estimates of the interaction forces between kink and antikink in a family of field-theoretic models with two vacua in (1+1)-dimensional space-time. In our study we consider a new class of soliton solutions previously found in our paper [Chaos, Solitons and Fractals 165 (2022) 112805]. We focus on the case of kinks having one exponential and one power-law asymptotics. We show that if the kink and antikink are faced each other with long-range tails, the force of attraction between them at large separations demonstrates a power-law decay with the distance. We also performed numerical simulations to measure the interaction force and obtained good agreement between the experimental values and theoretical estimates.
Cite
@article{arxiv.2503.08034,
title = {Long-range interaction of kinks in higher-order polynomial models},
author = {Ekaterina Belendryasova and Petr A. Blinov and Tatiana V. Gani and Alexander A. Malnev and Vakhid A. Gani},
journal= {arXiv preprint arXiv:2503.08034},
year = {2025}
}
Comments
17 pages, 4 figures; final/published version