Long-range interaction of kinks in higher-order polynomial models

Ekaterina Belendryasova, Petr A. Blinov, Tatiana V. Gani, Alexander A. Malnev and Vakhid A. Gani

Chaos, Solitons & Fractals, 2025, vol. 194, issue C

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 Fractals 2022;165:112805). 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.

Keywords: Kink; Soliton; Kink with power-law asymptotics; Kink–antikink interaction (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925001833

DOI: 10.1016/j.chaos.2025.116170

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