Configurational entropy for skyrmion-like magnetic structures

Bazeia, D.; Moreira, D.C.; Rodrigues, Edinardo I. B.

doi:10.1016/j.jmmm.2018.12.033

Cited by 55 publications

(23 citation statements)

References 56 publications

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“…We also recall the description of the configurational entropy which was studied in [5] and further considered in different contexts in Refs. [6][7][8][9][10][11], to quote some recent investigations. We notice, in particular, the use of the configurational entropy to study very different issues such as the investigation to calculate the stability of the graviton Bose-Einstein condensate in the braneworld scenario [7], the use as a bounding for Gauss-Bonnet braneworld models [8], the internal disposition of magnetization in magnetic skyrmions [10], and the stability of mesons made of heavy quark/antiquark pairs within the context of a holographic anti-de Sitter/QCD model for heavy vector mesons [11].…”

Section: Introductionmentioning

confidence: 99%

“…[6][7][8][9][10][11], to quote some recent investigations. We notice, in particular, the use of the configurational entropy to study very different issues such as the investigation to calculate the stability of the graviton Bose-Einstein condensate in the braneworld scenario [7], the use as a bounding for Gauss-Bonnet braneworld models [8], the internal disposition of magnetization in magnetic skyrmions [10], and the stability of mesons made of heavy quark/antiquark pairs within the context of a holographic anti-de Sitter/QCD model for heavy vector mesons [11]. In the present work we focus on another issue, that is, we get inspiration from the Shannon entropy concept in order to describe a new theoretical procedure, hoping that it will be useful to the area of information theory, in particular, to the study of quantum information related to the scattering in quantum graphs [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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Average scattering entropy of quantum graphs

Silva,

Andrade,

Bazeia

2021

Preprint

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The scattering amplitude in simple quantum graphs is a well-known process which may be highly complex. In this work, motivated by the Shannon entropy, we propose a methodology that associates to a graph a scattering entropy, which we call the average scattering entropy. It is defined by taking into account the period of the scattering amplitude which we calculate using the Green's function procedure. We first describe the methodology on general grounds, and then exemplify our findings considering several distinct groups of graphs. We go on and investigate other possibilities, one that contains groups of graphs with the same number of vertices, with the same degree, and the same number of edges, with the same length, but with distinct topologies and with different entropies. And the other, which contains graphs of the fishbone type, where the scattering entropy depends on the boundary conditions on the vertices of degree 1, with the corresponding values decreasing and saturating very rapidly, as we increase the number of elementary structures in the graphs.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Average scattering entropy of quantum graphs

Silva,

Andrade,

Bazeia

2021

Preprint

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“…In this respect, very recently, the configurational entropy in 2D skyrmion-like and vortex-like configurations has been investigated for different forms of topological charge density [27] and as a measure of ordering in field configuration space for nonlinear models with spatially-localized energy solutions [28]. Finally, note also that, in the recent literature, there are several papers dealing with the employment of magnetic skyrmions as information carriers but according to completely different approaches based on the skyrmion state and not on the skyrmion entropy (see e.g., [29][30][31][32]).…”

Section: Introductionmentioning

confidence: 99%

Statistical Properties and Configurational Entropy of a Two-Dimensional Néel Magnetic Skyrmions Population

Zivieri

2020

Applied Sciences

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The study of the thermodynamic properties of topological defects is important not only for understanding their magnetic properties but also for suggesting novel applications. In this paper, the statistical and statistical thermodynamic properties of a population of Néel magnetic skyrmion diameters hosted in an ultrathin cylindrical dot is determined within a two-dimensional analytical approach. The statistical properties such as the skyrmion size are calculated in the region of skyrmion metastability and are compared with the ones obtained using a recent three-dimensional analytical approach based on the analogy with the Maxwell–Boltzmann distribution of dilute gas molecules. The investigation of the statistical thermodynamic properties focus on the calculation of the configurational entropy at thermodynamic equilibrium determined in the continuous limit from the Boltzmann order function. While the statistical properties are quantitatively similar passing from the two-dimensional to the three-dimensional approach, the configurational entropy calculated from the two-dimensional skyrmions distribution is considerably lower than the one obtained from the three-dimensional skyrmions distribution. Because of the strong resemblance between the statistical configurational entropy and Jaynes’s information entropy, it is suggested to use magnetic skyrmions as temperature and external field dependent information entropy carriers for a future potential technological application in the field of low-dimensional magnetic systems and skyrmionics.

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“…[17][18][19][20][21][22][23]. Besides, the CE was shown to be an appropriate paradigm to study phase transitions as CE critical points [24][25][26][27][28][29][30][31], including the stability of stellar distributions [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Tensor mesons, AdS/QCD and information

Ferreira

Rocha

2020

Eur. Phys. J. C

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The Kaluza–Klein tower of higher spin-S tensor meson resonances is here scrutinized in the AdS/QCD hard wall model, encompassing the already established resonances $$\rho (770)$$ρ(770), $$f_2(1270)$$f2(1270), $$\omega _3(1670)$$ω3(1670), $$f_4(2050)$$f4(2050), $$\rho _5(2350)$$ρ5(2350), $$f_6(2510)$$f6(2510) in PDG. A hybrid model employs both information theory and AdS/QCD, where configurational-entropic Regge trajectories, relating the configurational entropy of the tensor mesons family to their S spin, and also to their experimental mass spectra, are derived and analyzed. Therefore, the mass spectra of higher spin-S tensor meson resonances is obtained and compared to the existing data in PDG.

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Configurational entropy for skyrmion-like magnetic structures

Cited by 55 publications

References 56 publications

Average scattering entropy of quantum graphs

Average scattering entropy of quantum graphs

Statistical Properties and Configurational Entropy of a Two-Dimensional Néel Magnetic Skyrmions Population

Tensor mesons, AdS/QCD and information

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