Kinks and branes in models with hyperbolic interactions

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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“…[73,[96][97][98]104]. The potential U 2 (ϕ) of the new model is related with the old model potential U 1 (ϕ) by a deforming function f (ϕ),…”

Section: Deformation Procedures and The Sinh-deformed ϕ Modelmentioning

confidence: 99%

“…As shown in the recent work [104], we can introduce other models using the deformation function of the hyperbolic type. In particular, we can start with the ϕ 6 model studied before in [63], which supports no vibrational state.…”

Section: Comments and Conclusionmentioning

confidence: 99%

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

2018

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“…In (1, 1) spacetime dimensions, in particular, there are scalar field models that support localized structures known as kinks, which appear due to the set of degenerate minima that characterize the several topological sectors of the systems. Each topological sector provides a kink-antikink pair of solutions, which has been explored in several scenarios; see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Analytical study of kinklike structures with polynomial tails

2018

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This work deals with models described by a single real scalar field in two-dimensional spacetime. The aim is to propose potentials that support massless minima and investigate the presence of kinklike structures that engender polynomial tails. The results unveil the presence of families of asymmetric solutions with energy density and linear stability that behave adequately, enhancing the importance of the analytical study. We stress that the novel topological structures which we find in this work engender long range interactions that are of current interest to statistical mechanics, dipolar quantum gases and the study of quantum information with Rydberg atoms.

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“…For more recent work on thick brane see Refs. [40][41][42][43][44][45][46][47][48][49][50] or [51] for a review.…”

Section: Introductionmentioning

confidence: 99%

Thick branes with inner structure in mimetic gravity

Zhong

Zhang

et al. 2018

Eur. Phys. J. C

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In this paper, thick branes generated by mimetic scalar field are investigated. Three typical thick brane models are constructed and the linear tensor and scalar perturbations are analyzed. These branes have different inner structures, some of which are absent in general relativity. For each brane model, the solution is stable under both tensor and scalar perturbations. The tensor zero modes are localized on the branes, while the scalar perturbations do not propagate and they are not localized on the brane. As the branes split into multi sub-branes for specific parameters, the potentials of the tensor perturbations also split into multi-wells, and this may lead to new phenomenon in the resonance of the tensor perturbation and the localization of matter fields.

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Kinks and branes in models with hyperbolic interactions

Cited by 15 publications

References 97 publications

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

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

Analytical study of kinklike structures with polynomial tails

Thick branes with inner structure in mimetic gravity

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