Multi-kink scattering in the double sine-Gordon model

Gani, Vakhid A.; Marjaneh, Aliakbar Moradi; Saadatmand, Danial

doi:10.1140/epjc/s10052-019-7125-5

Cited by 66 publications

(45 citation statements)

References 91 publications

(117 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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.

View full text Add to dashboard Cite

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.

show abstract

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.

View full text Add to dashboard Cite

show abstract

“…One can cite the polynomials with one scalar field, for instance, modified φ 4 model [23][24][25], φ 6 model [26][27][28], φ 8 model [29][30][31], nonpolynomial [32][33][34][35], models which possess kinks with power-law tails [36][37][38] and models with two scalar fields [39][40][41][42][43][44]. Furthermore, there are studies of kink collision with a boundary [45][46][47], with impurities [48][49][50][51][52], multi-kink collision [53][54][55][56] and other models [57][58][59][60][61].…”

Section: (): V-volmentioning

confidence: 99%

Semi-compactness and multiple oscillating pulses in kink scattering

2021

View full text Add to dashboard Cite

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.

show abstract

“…One of the interesting phenomena is the escape of two bions, which has been found and discussed in many models such as the double Sine-Gordon model [47,57,77], the sinh-deformed φ 4 model [48] and other models with double kinks [95,100]. In previous works, two-bion final states are usually generated by colliding a pair of double kinks.…”

Section: Interesting Intermediate and Final Statesmentioning

confidence: 99%

Collision of two kinks with inner structure

Zhong¹,

Jiang²,

Liu³

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work, we study kink collisions in a scalar field model with scalarkinetic coupling. This model supports kink/antikink solutions with inner structure in the energy density. The collision of two such kinks is simulated by using the Fourier spectral method. We numerically calculate how the critical velocity and the widths of the first three two bounce windows vary with the model parameters. After that, we report some interesting collision results including two-bion escape final states, kink-bion-antikink intermediate states and kink or antikink intertwined final states. These results show that kinks with inner structure in the energy density have similar properties as those of the double kinks.

show abstract

Multi-kink scattering in the double sine-Gordon model

Cited by 66 publications

References 91 publications

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

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

Semi-compactness and multiple oscillating pulses in kink scattering

Collision of two kinks with inner structure

Contact Info

Product

Resources

About