Details

Autor(en) / Beteiligte

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

Titel

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

Ist Teil von

• Physical review letters, 2019-05, Vol.122 (17), p.171601-171601, Article 171601

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2019

Link zum Volltext

Quelle

American Physical Society Journals

Beschreibungen/Notizen

• In this Letter, we address the long-range interaction between kinks and antikinks, as well as kinks and kinks, in φ^{2n+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 (φ^{8} model), n=3 (φ^{10} model), and n=4 (φ^{12} model).