TL;DR
This paper presents a new, broadly applicable method for calculating forces between kinks and antikinks in field theories, especially near potential minima, using a modified Bogomolny equation approach.
Contribution
It introduces a unified calculation method for antikink-kink forces applicable to quadratic and quartic potential minima, expanding previous specialized techniques.
Findings
The method accurately computes forces near potential minima.
It demonstrates broad applicability beyond special cases.
Provides insights into kink-antikink interactions in various field theories.
Abstract
We recalculate the force exerted by an antikink on a kink when their overlapping tail fields are close to either a quadratic or quartic minimum of the field theory potential. Our uniform method of calculation exploits the modified Bogomolny equation satisfied by an accelerating kink. This method has been used before in special cases, but is shown here to have broad applicability.
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Taxonomy
TopicsNonlinear Photonic Systems · Nonlocal and gradient elasticity in micro/nano structures · Advanced Materials and Mechanics