Kink-Kink and Kink-Antikink Interactions with Long-Range Tails

Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Khare, Avinash; Saxena, Avadh Behari

doi:10.1103/PhysRevLett.122.171601

Title: Kink-Kink and Kink-Antikink Interactions with Long-Range Tails

Journal Article · 03 May 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.122.171601 · OSTI ID:1510543

Christov, Ivan C. ^[1]; Decker, Robert J. ^[2]; Demirkaya, A. ^[2]; Gani, Vakhid A. ^[3]; Kevrekidis, P. G. ^[4]; Khare, Avinash ^[5];

^[6]

Purdue Univ., West Lafayette, IN (United States)
Univ. of Hartford, West Hartford, CT (United States)
National Research Nuclear Univ. MEPhI (Moscow Engineering Physics Institute), Moscow (Russia); National Research Center Kurchatov Institute, Moscow (Russia)
Univ. of Massachusetts, Amherst, MA (United States)
Savitribai Phule Pune Univ., Pune (India)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this Letter, we address the long-range interaction between kinks and antikinks, as well as kinks and kinks, in φ²ⁿ⁺⁴ field theories for n > 1. The kink-antikink interaction is generically attractive, while the kink-kink interaction is generically repulsive. We find that the force of interaction decays with the 2n/(n–1)th power of their separation, and we identify the general prefactor for arbitrary n. Importantly, we test the resulting mathematical prediction with detailed numerical simulations of the dynamic field equation, and obtain good agreement between theory and numerics for the cases of n = 2 (φ⁸ model), n = 3 (φ¹⁰ model), and n = 4 (φ¹² model).

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001; 02.a03.21.0005

OSTI ID:: 1510543

Alternate ID(s):: OSTI ID: 1532709

Report Number(s):: LA-UR-18-30946; PRLTAO

Journal Information:: Physical Review Letters, Vol. 122, Issue 17; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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