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Some Recent Developments on Kink Collisions and Related Topics

2018/09/13 by T. Romańczukiewicz, Romanczukiewicz, Tomasz, Yakov Shnir +1
Engineering · Physics and Astronomy · #Advanced Fiber Optic Sensors #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.1809.04896

openalex publication_date 2018/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review recent works on modeling of dynamics of kinks in 1+1 dimensional ϕ4 theory and other related models, like sine-Gordon model or ϕ6 theory. We discuss how the spectral structure of small perturbations can affect the dynamics of non-perturbative states, such as kinks or oscillons. We describe different mechanisms, which may lead to the occurrence of the resonant structure in the kink-antikink collisions. We explain the origin of the radiation pressure mechanism, in particular, the appearance of the negative radiation pressure in the ϕ4 and ϕ6 models. We also show that the process of production of the kink-antikink pairs, induced by radiation is chaotic.

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