Ring-like vortices in a logarithmic generalized Maxwell theory

Lima, F. C. E.; Almeida, C. A. S.

doi:10.1209/0295-5075/131/31003

Cited by 18 publications

(19 citation statements)

References 33 publications

(50 reference statements)

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“…This behavior of the magnetic field seems to occur due to the fact that the gauge field presents an exponentiallike behavior until it reaches the value −η 1 . We emphasize that the shape of solutions for the magnetic field has already been noted in other models [36] 3 Phase transitions and configurational entropy Configurational entropy is inspired by Shannon entropy which was proposed in 1948 [42]. Information in Shannon's communication theory is defined as…”

Section: Asymptotic Behavior and Numerical Solutionmentioning

confidence: 97%

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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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Section: Asymptotic Behavior and Numerical Solutionmentioning

confidence: 97%

“…[35] and with generalized models using Gausson-like logarithmic terms in Refs. [36,37]. It is worth noting that Gausson-like logarithmic potentials are interesting for describing quantum Bose liquids [38], and quantum gravity theory [39].…”

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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“…It is known that a logarithmic potential generates solitonic solutions in bidimensional models with logarithmic nonlinearity [29]. Recently, it has been observed that the logarithmic potential can generate ring-like vortices with intense magnetic flux when the Higgs field is coupled to the gauge field [30]. But, the first works on relativistic theories are due to G. Rosen [31,32], and to Bialynicki-Birula and Mycielski (BBM) in the context of Schrödinger theories [33].…”

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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“…[35] and with generalized models using Gaussonlike logarithmic terms in Refs. [36,37]. It is worth noting that Gausson-like logarithmic potentials are interesting for describing quantum Bose liquids [38], and quantum gravity theory [39].…”

Section: Introductionmentioning

confidence: 99%

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

Lima,

Almeida

2021

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Ring-like vortices in a logarithmic generalized Maxwell theory

Cited by 18 publications

References 33 publications

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

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

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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