Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Marjaneh, Aliakbar Moradi; Askari, Alidad; Saadatmand, Danial

doi:10.1140/epjb/e2017-80406-y

Cited by 36 publications

(23 citation statements)

References 49 publications

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“…The study of collisions of kink and antikink has gained further attention recently, with the study of polynomial models with one [8,[10][11][12] and two or more [14][15][16][17] scalar fields, of nonpolynomial models [18][19][20][21] and of models that support multi-kink configurations [22][23][24][25]. Moreover, there are investigations on the collision of large relativistic bubbles, that can be treated as that of planar walls, described as kink scattering in (1, 1) dimensions [26].…”

Section: Introductionmentioning

confidence: 99%

Oscillons in hyperbolic models

et al. 2020

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In this work we examine kink-antikink collisions in two distinct hyperbolic models. The models depend on a deformation parameter, which controls two main characteristics of the potential with two degenerate minima: the height of the barrier and the values of the minima. In particular, the rest mass of the kinks decreases monotonically as the deformation parameter increases, and we identify the appearance of a gradual suppression of two bounce windows in the kink scattering and the production of long lived oscillons. The two effects are reported in connection to the presence of more than one vibrational state in the stability potential. * Electronic address: [1]

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Section: Introductionmentioning

confidence: 99%

Oscillons in hyperbolic models

et al. 2020

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“…Kink scattering in nonintegrable models is a topic that has been under intense investigation. One can cite studies with polynomial models with one [24,[26][27][28][29][30][31][32] and two [33][34][35][36] scalar fields, nonpolynomial models [37][38][39][40][41][42], vector solitons [43], multi-kinks [44][45][46][47], interaction with a boundary [48,49], models with generalized dynamics [50] and interactions with impurities [51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Kink scattering in a hybrid model

et al. 2019

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In this work we consider a model where the potential has two topological sectors connecting three adjacent minima, as occurs with the φ 6 model. In each topological sector, the potential is symmetric around the local maximum. For φ > 0 there is a linear map between the model and the λφ 4 model. For φ < 0 the potential is reflected. Linear stability analysis of kink and antikink lead to discrete and continuum modes related by a linear coordinate transformation to those known analytically for the λφ 4 model. Fixing one topological sector, the structure of antikinkkink scattering is related to the observed in the λφ 4 model. For kink-antikink collisions a new structure of bounce windows appear. Depending on the initial velocity, one can have oscillations of the scalar field at the center of mass even for one bounce, or a change of topological sector. We also found a structure of one-bounce, with secondary windows corresponding to the changing of the topological sector accumulating close to each one-bounce windows. The kink-kink collisions are characterized by a repulsive interaction and there is no possibility of forming a bound state.

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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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Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Cited by 36 publications

References 49 publications

Oscillons in hyperbolic models

Oscillons in hyperbolic models

Kink scattering in a hybrid model

Kink scattering in hyperbolic models

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