Scattering of kinks in a non-polynomial model

Bazeia, D.; Belendryasova, Ekaterina; Gani, Vakhid A.

doi:10.1088/1742-6596/934/1/012032

Cited by 28 publications

(32 citation statements)

References 14 publications

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“…Recently there has been a renewal of the study of kink and antikink scattering, with several models being subject of investigation. In this line one can cite polynomial models with one [14,[17][18][19][20][21][22][23][24] and two or more [25][26][27][28] scalar fields, nonpolynomial models [29][30][31][32][33][34] and multi-kinks [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Kink scattering in hyperbolic models

Bazeia

Gomes

Nóbrega

et al. 2019

Int. J. Mod. Phys. A

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In this work we study kink-antikink and antikink-kink collisions in hyperbolic models of fourth and sixth order. We compared the patterns of scattering with known results from polynomial models of the same order. The hyperbolic models considered here tend to the polynomial φ 4 and φ 6 models in the limit of small values of the scalar field. We show that kinks and antikinks that interact hyperbolically with fourth order differ sensibly from those governed by the polynomial φ 4 model. The increasing of the order of interaction to the sixth order shows that the hyperbolic and polynomial models give intricate structures of scattering that differ only slightly. The dependence on the order of interaction are related to some characteristics of the models such as the potential of perturbations and the number of vibrational modes.

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Section: Introductionmentioning

confidence: 99%

Kink scattering in hyperbolic models

Bazeia

Gomes

Nóbrega

et al. 2019

Int. J. Mod. Phys. A

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“…It refers to the deformation procedure, a method of current interest which helps us to introduce new models, and solve them analytically. This will be further reviewed below, and used to define the model [99] we want to investigate in the current work. In particular, the new model is somehow similar to the ϕ 4 model with spontaneous symmetry breaking, so we will compare its features with the ϕ 4 case, in order to highlight the differences between the two cases, and to see how the non-polynomial interaction of the new model modifies the behavior seen in the standard ϕ 4 model.…”

Section: Introductionmentioning

confidence: 99%

Scattering of kinks of the sinh-deformed $$\varphi ^4$$ φ 4 model

2018

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We consider the scattering of kinks of the sinhdeformed ϕ 4 model, which is obtained from the well-known ϕ 4 model by means of the deformation procedure. Depending on the initial velocity v in of the colliding kinks, different collision scenarios are realized. There is a critical value v cr of the initial velocity, which separates the regime of reflection (at v in > v cr ) and that of a complicated interaction (at v in < v cr ) with kinks' capture and escape windows. Besides that, at v in below v cr we observe the formation of a bound state of two oscillons, as well as their escape at some values of v in .

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“…In a vast majority of cases, in which physical models are non-integrable, oscillons radiate very slowly [2][3][4][5][6][7][8][9][10][11][12][13]. Oscillons can be created in some dynamical processes like, for instance, in kink-antikink collisions [9,[14][15][16][17][18]. On the other hand, oscillating structures seen in some integrable models, like (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Denoting α k+1 := 1 2 b k+1 a k and y k+1 := a k+1 a k one gets relations (III.15) in the form α k+1 = 1 2α k+1 ln y k+1 . (III 16).…”

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confidence: 99%

Scattering of compact oscillons

Hahne

Klimas

Streibel

et al. 2020

J. High Energ. Phys.

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We study various aspects of the scattering of generalized compact oscillons in the signum-Gordon model in (1+1) dimensions. Using covariance of the model we construct traveling oscillons and study their interactions and the dependence of these interactions on the oscillons' initial velocities and their relative phases. The scattering processes transform the two incoming oscillons into two outgoing ones and lead to the generation of extra oscillons which appear in the form of jet-like cascades. Such cascades vanish for some values of free parameters and the scattering processes, even though our model is non-integrable, resemble typical scattering processes normally observed for integrable or quasi-integrable models.Occasionally, in the intermediate stage of the process, we have seen the emission of shock waves and we have noticed that, in general, outgoing oscillons have been more involved in their emission than the initial ones i.e. they have a border in the form of curved worldlines.The results of our studies of the scattering of oscillons suggest that the radiation of the signum-Gordon model has a fractal-like nature.

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Scattering of kinks in a non-polynomial model

Cited by 28 publications

References 14 publications

Kink scattering in hyperbolic models

Kink scattering in hyperbolic models

Scattering of kinks of the sinh-deformed $$\varphi ^4$$ φ 4 model

Scattering of compact oscillons

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