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.

17 pages, 4 figures; final/published version

References in corpus (12)

• Kink-kink and kink-antikink interactions with long-range tails
• Long-range interactions of kinks
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Forces between Kinks and Antikinks with Long-range Tails
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Kinks and antikinks of buckled graphene: A testing ground for phi^4 field model
• Interaction between kinks and antikinks with double long-range tails
• Family of Potentials with Power-Law Kink Tails
• Motion of domain walls and the dynamics of kinks in the magnetic Peierls potential
• Kinks in higher-order polynomial models
• Forces Between Kinks in ${\varphi }^8$ Theory
• Collisions between kinks with long-range tails: a simple and efficient method

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