Kink-antikink collision in a Lorentz-violating ϕ4 model

Yan, Haobo; Zhong, Yuan; Liu, Yu-Xiao; Maeda, Kei Ichi

doi:10.1016/j.physletb.2020.135542

Cited by 26 publications

(17 citation statements)

References 75 publications

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“…A large number of models with kink solutions have been subject of investigation, including higher-order polynomial models [17][18][19][20][21][22], models with two scalar fields [23][24][25][26], hyperbolic models [27][28][29] and multikinks [30][31][32]. One can also cite studies of interaction of kink with a boundary [33][34][35], models with generalized dynamics [36,37], with Lorentz symmetry violation [38], wobbling kinks [39] and effects of the transition a bound mode through the mass threshold during the scattering process [40][41][42].…”

Section: Jhep12(2020)143mentioning

confidence: 99%

Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model

Simas

Lima

Nóbrega

et al. 2020

J. High Energ. Phys.

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We study kink-antikink collisions in a particular case of the double sine-Gordon model depending on only one parameter r. The scattering process of large kink-antikink shows the changing of the topological sector. For some parameter intervals we observed two connected effects: the production of multiple antikink-kink pairs and up to three solitary oscillations. The scattering process for small kink-antikink has several possibilities: the changing of the topological sector, one-bounce collision, two-bounce collision, or formation of a bion state. In particular, we observed for small values of rand velocities, the formation of false two-bounce windows and the suppression of true two-bounce windows, despite the presence of an internal shape mode.

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Section: Jhep12(2020)143mentioning

confidence: 99%

Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model

Simas

Lima

Nóbrega

et al. 2020

J. High Energ. Phys.

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“…Moreover, in the Ref. [66] is analyzed the kink-antikink collision in a Lorentzviolating φ 4 model. In that work, the influence of the Lorentz term change the localization of the two-bounce windows.…”

Section: (): V-volmentioning

confidence: 99%

Semi-compactness and multiple oscillating pulses in kink scattering

2021

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In this work we consider models of asymmetric kinks, where the behavior of the solution in one side is different from the other side. Also, the models depend of an integer n and, with the increase of n, the constructed kink assumes a hybrid character: a compactlike profile on one side and a kinklike profile on the other side. We investigate numerically the kink-antikink and antikink-kink dynamics, with the aim to understand the effect of the transition of the usual kink to the semi-compacton structure. The kink-antikink process shows the formation of one-bounce windows for small values of n. The increase of n favors the breaking this structure and the appearance of oscillatory modes. For antikink-kink collisions we report the appearance of two-bounce windows for small values of the parameter. We also found an intricate structure of two-oscillation windows.

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“…This phenomenon can be explained by the energy exchange mechanism between zero and vibrational modes [22]. Kink scattering was also investigated in other single scalar field nonintegrable models [28][29][30][31][32][33][34][35][36][37][38][39][40][41], kink dynamics with impurities [42][43][44][45][46][47][48][49], scattering with a boundary [50,51] and multi-kink collision [52,53]. The role of quasi-normal modes in the scattering process was investigated in the Refs.…”

Section: Introductionmentioning

confidence: 99%