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Communications in Nonlinear Science and Numerical Simulation

2019

104

We study the scattering of the ϕ 8 kinks off each other, namely, we consider those ϕ 8 kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the 'escape windows' -the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration.

Section: Introductionmentioning

confidence: 99%

Scattering of the φ8 kinks with power-law asymptotics

Belendryasova

Communications in Nonlinear Science and Numerical Simulation

2019

104

“…In particular, the kink-(anti)kink scattering and the interactions of kinks with impurities are of growing interest. A wide variety of phenomena emerges in these systems, e.g., escape windows and quasi-resonances in kink-(antikink) collisions [20][21][22][23][24][25][26][27][28][29][30], resonant interactions of kinks with wells, barriers and impurities [31][32][33][34], non-radiative energy exchange in multi-soliton collisions [35][36][37]. It is interesting that the presence of a kink's internal modes does not guarantee the appearance of resonance windows, as it has been recently shown for the deformed φ 4 model [38].…”

Section: Introductionmentioning

confidence: 99%

Multi-kink collisions in the ϕ 6 model

Marjaneh

Saadatmand

et al. 2017

J. High Energ. Phys.

We study simultaneous collisions of two, three, and four kinks and antikinks of the φ 6 model at the same spatial point. Unlike the φ 4 kinks, the φ 6 kinks are asymmetric and this enriches the variety of the collision scenarios. In our numerical simulations we observe both reflection and bound state formation depending on the number of kinks and on their spatial ordering in the initial configuration. We also analyze the extreme values of the energy densities and the field gradient observed during the collisions. Our results suggest that very high energy densities can be produced in multi-kink collisions in a controllable manner. Appearance of high energy density spots in multi-kink collisions can be important in various physical applications of the Klein-Gordon model.

“…A soliton in a translationally invariant model can always be shifted by a constant vector, which means that there always exists the zero (translational) mode. Excitations with higher energies -vibrational modes -can give rise to a rich collection of resonance phenomena in kink-(anti)kink collisions, as well as in the scattering of kinks off impurities [24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Kink excitation spectra in the (1+1)-dimensional φ8 model

Lensky

Lizunova

2015

J. High Energ. Phys.

114

110

Abstract:We study excitation spectra of BPS-saturated topological solutions -the kinks -of the ϕ 8 scalar field model in (1 + 1) dimensions, for three different choices of the model parameters. We demonstrate that some of these kinks have a vibrational mode, apart from the trivial zero (translational) excitation. One of the considered kinks is shown to have three vibrational modes. We perform a numerical calculation of the kink-kink scattering in one of the considered variants of the ϕ 8 model, and find the critical collision velocity v cr that separates the different collision regimes: inelastic bounce of the kinks at v in ≥ v cr , and capture at v in < v cr . We also observe escape windows at some values of v in < v cr where the kinks escape to infinity after bouncing off each other two or more times. We analyse the features of these windows and discuss their relation to the resonant energy exchange between the translational and the vibrational excitations of the colliding kinks.