Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forces between Kinks and Antikinks with Long-range Tails   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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The categories of this paper are: cs
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org