Towards a gauge theory of turbulence

Mukhamedov, A. M.

doi:10.1016/j.chaos.2005.11.003

Cited by 12 publications

(4 citation statements)

References 2 publications

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“…Considering the arbitrary choice of the coefficients, predetermined regimes of evolution of turbulent coordinates can be provided. In [5,9], this method was used by the author to realize the Lorentz-type attractor for the velocity fluctuations in flows with a simple shift. It was established that nonlinearity of systems of equations describing attractor regimes imposed restrictions on the choice of model dependences.…”

Section: Modelling Of Mesostructural Objects Of a Turbulent Mediummentioning

confidence: 99%

Turbulence. 3. A new turbulent paradigm

Mukhamedov

2009

Russ Phys J

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Section: Modelling Of Mesostructural Objects Of a Turbulent Mediummentioning

confidence: 99%

Turbulence. 3. A new turbulent paradigm

Mukhamedov

2009

Russ Phys J

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“…Gauge symmetries are often used to conveniently account for extra degrees of freedom and other redundancies that one may wish to keep in their description of a system, and need not relate to any fundamental interaction. Applications of this kind include [41][42][43][44][45] and may be among the factors in the product group considered here. Being unrelated to electromagnetism, the degrees of freedom associated to these U(1) factors give rise to fields that transform independently of the gauge transformations of electromagnetism and possibly of each other which, in our formalism, translates to the fact that each scalar field of the theory is charged under only one U(1) subgroup.…”

Section: Introductionmentioning

confidence: 99%

Generalized Maxwell-Higgs vortices in models with enhanced symmetry

Bazeia,

Liao,

Marques

2022

Preprint

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Topological vortices in relativistic gauge theories in flat three-dimensional spacetime are investigated. We consider the symmetry U(1) × ... × U(1), and for each U(1) subgroup, a complex scalar field transforming under its action is introduced, as well as generalized permeabilities through which the subsystems are coupled. We investigate in detail the features of static, finite energy solutions within this class of generalized Maxwell-Higgs models, and study the effect of the winding numbers in the magnetic properties of each subsystem. A BPS bound and the related first order equations are introduced for a large class of models. Finally, we present some specific models and solve their equations of motion to find solutions engendering many distinct features in relation to each other and to the standard Nielsen-Olesen vortex.

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“…As demonstrated the practice of construction of hydrodynamic flows [2,7,8], this opportunity is realized for chaotic modes only in flows with constant gradients.…”

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confidence: 99%