Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

Cruz, W. T.; Dantas, D. M.; Maluf, R. V.; Almeida, C. A. S.

doi:10.1002/andp.201900178

Cited by 11 publications

(9 citation statements)

References 55 publications

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“…[5,[7][8][9][10][11][12][13][14][15][16][17][18]. In the thick brane world scenario, the brane is usually generated by a canonical scalar field [19][20][21][22][23][24]. Furthermore, various kinds of thick branes generated by multi-scalar fields were also investigated widely [25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Thick branes with inner structure in mimetic f(R) gravity

2021

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In this paper, we study the structure and gravitational resonances of thick branes generated by a mimetic scalar field in f(R) gravity. We obtain several typical thick brane solutions for $$f(R)=R+\alpha R^2$$ f ( R ) = R + α R 2 . To study their stability, we analyze the tensor perturbation of the metric. It is shown that any thick brane model with $$df/dR>0$$ d f / d R > 0 is stable and the graviton zero mode can be localized on the brane for each solution, which indicates that the four-dimensional Newtonian gravity can be restored. The effect of the parameter $$\alpha $$ α on the gravitational resonances is studied. As a brane splits into multi sub-branes, the effective potential of the tensor perturbation will have an abundant inner structure with multi-wells, and this will lead to new phenomena of the gravitational resonances.

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Section: Introductionmentioning

confidence: 99%

Thick branes with inner structure in mimetic f(R) gravity

2021

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“…The CE (and its variants) is a quantity that is related to the measure of the informational complexity of a localized field configuration and can be expressed by a Fourier transform of the energy density, as we can see in Refs. [46,[49][50][51]. It is important to mention that this quantity has been studied intensively in several cosmological scenarios [52][53][54] .…”

Section: DCC Of Vortexmentioning

confidence: 99%

“…The applications of this theory are vast. For example, the CE can be used to investigate stable Q-ball solutions [43,44] at the Chandrasekhar limit for white dwarfs; in the study of the non-equilibrium dynamics of spontaneous symmetry breaking [44]; in the study of Bose-Einstein condensates [45], and in braneworlds to investigate multi-kink type field configurations [46].…”

Section: Introductionmentioning

confidence: 99%

Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model

Lima,

Almeida

2022

Preprint

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Using a spherically symmetric ansatz, we show that the Chern-Simons O(3) -sigma model with a logarithmic potential admits topological solutions. This result is quite interesting since the Gausson-type logarithmic potential only predicted topological solutions in (1 + 1)D models. To accomplish our goal, the Bogomol'nyi-Prasad-Sommerfield (BPS) method is used, to saturate the energy and obtain the BPS equations. Next, we show by numerical method the graphical results of the topological fields, as well as, the magnetic field behavior that generates a flux given by Φ f lux = −Q/κ and the energy density of the structures of vortices. On the other hand, we evaluate the measure of the differential configurational complexity (DCC) of the topological structures, by considering the energy density of the vortex. This analysis is important because it will provide us with information about the possible phase transitions associated with the localized structures and it shows that our model only supports one phase transition.

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“…It is important to mention that in the context of braneworlds, the configurational entropy is able to describe new topological structures, for instance, multi-kink solutions which are fruits of multiples phase transition [48]. In the context in which we are applying the study of this quantity, we want to understand whether the vortex solutions discussed above are unique and whether our nonpolynomial model admits such multiple transitions.…”

Section: Asymptotic Behavior and Numerical Solutionmentioning

confidence: 99%

“…There are several studies using configurational entropy in different systems. For instance, the CE can be used to investigate stable Q-ball solutions [45,46] at the Chandrasekhar limit for white dwarfs; in the study of the non-equilibrium dynamics of spontaneous symmetry breaking [46]; in the study of Bose-Einstein condensates [47], and in braneworlds to investigate field configurations of multi-kink type [48].…”

Section: Introductionmentioning

confidence: 99%

Phase transitions in the logarithmic Maxwell O(3)-sigma model

Lima

Almeida

2021

Eur. Phys. J. C

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We investigate the presence of topological structures and multiple phase transitions in the O(3)-sigma model with the gauge field governed by Maxwell’s term and subject to a so-called Gausson’s self-dual potential. To carry out this study, it is numerically shown that this model supports topological solutions in 3-dimensional spacetime. In fact, to obtain the topological solutions, we assume a spherically symmetrical ansatz to find the solutions, as well as some physical behaviors of the vortex, as energy and magnetic field. It is presented a planar view of the magnetic field as an interesting configuration of a ring-like profile. To calculate the differential configurational complexity (DCC) of structures, the spatial energy density of the vortex is used. In fact, the DCC is important because it provides us with information about the possible phase transitions associated with the structures located in the Maxwell–Gausson model in 3D. Finally, we note from the DCC profile an infinite set of kink-like solutions associated with the parameter that controls the vacuum expectation value.

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Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

Cited by 11 publications

References 55 publications

Thick branes with inner structure in mimetic f(R) gravity

Thick branes with inner structure in mimetic f(R) gravity

Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model

Phase transitions in the logarithmic Maxwell O(3)-sigma model

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