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arXiv · 1810.03557

Forces between Kinks and Antikinks with Long-range Tails

N. S. Manton
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Abstract

In a scalar field theory with a symmetric octic potential having a quartic minimum and two quadratic minima, kink solutions have long-range tails. We calculate the force between two kinks and between a kink and an antikink when their long-range tails overlap. This is a nonlinear problem, solved using an adiabatic ansatz for the accelerating kinks that leads to a modified, first-order Bogomolny equation. We find that the kink-kink force is repulsive and decays with the fourth power of the kink separation. The kink-antikink force is attractive and decays similarly. Remarkably, the kink-kink repulsion has four times the strength of the kink-antikink attraction.

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N. S. Manton. 2018-10-08. Forces between Kinks and Antikinks with Long-range Tails. https://doi.org/10.1088/1751-8121/aaf9d1

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