Details

Autor(en) / Beteiligte

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

Titel

Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories

Ist Teil von

• Communications in nonlinear science & numerical simulation, 2021-06, Vol.97, p.105748, Article 105748

Ort / Verlag

Amsterdam: Elsevier B.V

Erscheinungsjahr

2021

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• •Kink collisions in higher-order field-theoretic models (ϕ8,ϕ10,ϕ12) are examined.•The intricacies of collisions between kinks with power-law tails are analyzed.•Three- and more-bounce windows at the edges of two- and lower-bounce ones are found.•Different multi-kink initialization scenarios are proposed and compared. We study collisions of coherent structures in higher-order field-theoretic models, such as the ϕ8,ϕ10 and ϕ12 ones. The main distinguishing feature, of the example models considered herein, is that the collision arises due to the long-range interacting algebraic tails of these solitary waves. We extend the approach to suitably initialize the relevant kinks, in the additional presence of finite initial velocity, in order to minimize the dispersive wave radiation potentially created by their slow spatial decay. We find that, when suitably initialized, these models still feature the multi-bounce resonance windows earlier found in models in which the kinks bear exponential tails, such as the ϕ4 and ϕ6 field theories among others. Also present is the self-similar structure of the associated windows with three- and more-bounce windows at the edges of two- and lower-bounce ones. Moreover, phenomenological but highly accurate (and predictive), scaling relations are derived for the dependence of the time between consecutive collisions and, e.g., the difference in kinetic energy between the incoming one and the critical one for one-bounces. Such scalings are traced extensively over two-bounce collision windows throughout the three models, hinting at the possibility of an analytical theory in this direction.