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arXiv · 2503.08034

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

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

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Ekaterina Belendryasova, Petr A. Blinov, Tatiana V. Gani, Alexander A. Malnev, Vakhid A. Gani. 2025-03-11. Long-range interaction of kinks in higher-order polynomial models. https://doi.org/10.1016/j.chaos.2025.116170

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