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Description of domain structures in the Solar Corona by means multi-color graphs
Динамические системы. 2016. Vol. 6(34). No. 1. P. 3-14.
Magnetic charging topology explains many energy processes (flares, prominences, etc.) in the solar corona by changing the domain structure associated with the appearance or disappearance of the separators. It is known that at most of the nulls of the magnetic field are prone. In this paper it is proved that a topology of the domains of a field with the prone nulls is completely described by a multi-color graph. In addition, we give an efficient algorithm for distinguishing of these graphs.
Publication based on the results of:
Zhuzhoma E. V., Pochinka O., Grines V. et al., Журнал Средневолжского математического общества 2014 Т. 16 № 1 С. 8-16
В работе установлены достаточные условия существования магнитных линий соединяющих нулевые точки ...
Added: October 21, 2014
Berche B., Butera P., L N Shchur, Journal of Physics A: Mathematical and Theoretical 2013 Vol. 46 No. 9 P. 1-7
Abstract
We present a solution of the nonlinear renormalization group equations leading
to the dominant and subdominant singular behaviors of physical quantities (free
energy density, correlation length, internal energy, specific heat, magnetization,
susceptibility and magneto caloric coefficient) at the critical temperature in a
non-vanishing magnetic field. The solutions (i) lead to exact cancellation of
logarithmic corrections in universal amplitude ratios ...
Added: March 18, 2014
S.I. Popel, Golub' A. P., Kassem A. I. et al., Physics of Plasmas 2022 Vol. 29 No. 1 Article 013701
The influence of the magnetic field of the Earth’s magnetotail on dusty plasmas above the sunlit surface of the Moon is studied. For this purpose, a physical-mathematical model for a self-consistent description of dust grains and photoelectrons in the presence of the magnetic field is developed. Trajectories of motion of dust grains above the lunar surface are considered. ...
Added: January 19, 2022
В. И. Юдсон, А. А. Макаров, Письма в Журнал экспериментальной и теоретической физики 2017 Т. 105 № 3 С. 193-197
A method is proposed for the creation of an entangled metastable (subradiance) excited state in a system of two closely spaced identical atoms. The system of unexcited atoms is first placed in a magnetic field that is directed at a magic angle of \alpha_0= arccos(1/ 3) ≈ 54.7° to the line connecting the atoms and ...
Added: November 12, 2018
Akhmet’ev P., Smirnov A. Y., Candelaresi S., Physics of Plasmas 2017 Vol. 24 No. 10 P. 102128-1-102128-9
For the quadratic helicity χ(2), we present a generalization of the Arnol'd inequality which relates the magnetic energy to the quadratic helicity, which poses a lower bound. We then introduce the quadratic helicity density using the classical magnetic helicity density and its derivatives along magnetic field lines. For practical purposes, we also compute the flow ...
Added: December 25, 2017
Akhmet’ev P., Journal of Physics: Conference Series 2014 Vol. 544 No. 012015 P. 1-12
We investigate combinatorial properties of a higher invariant of magnetic lines. Assume that a 3-component link L is modeled by a magnetic eld B, which is represented by 3 closed magnetic lines. Main Theorem relates the integral invariant M(B) and a combinatorial invariant ~M (L), dened from the Conway polynomial. As a corollary of Main ...
Added: March 23, 2015
Grines V., Malyshev D., Pochinka O. et al., Regular and Chaotic Dynamics 2016 Vol. 21 No. 2 P. 189-203
It is well known that the topological classification of structurally stable flows on surfaces as well as the topological classification of some multidimensional gradient-like systems can be reduced to a combinatorial problem of distinguishing graphs up to isomorphism. The isomorphism problem of general graphs obviously can be solved by a standard enumeration
algorithm. However, an efficient ...
Added: April 5, 2016
Grines V., Zhuzhoma E. V., Pochinka O., Современная математика. Фундаментальные направления 2015 Т. 57 С. 5-30
Обзор посвящен изложению результатов (в том числе и авторов обзора), полученных начиная с 2000-х годов по настоящее время, по топологической классификации структурно устойчивых каскадов, заданных на гладком замкнутом многобразии $M^n$ ($n\geq 3$) в предположении, что либо их неблуждающие множества содержат ориентируемый растягивающийся (сжимающийся) аттрактор (репеллер) коразмерности один, либо целиком состоят из базисных множеств коразмерности один. ...
Added: December 25, 2014
Redchenko E. S., A. A. Makarov, V. I. Yudson, Physical Review A: Atomic, Molecular, and Optical physics 2018 Vol. 97 No. 4 P. 043812-1-043812-15
Spontaneous emission spectra of two initially excited closely spaced identical atoms are very sensitive to the strength and the direction of the applied magnetic field. We consider the relevant schemes that ensure the determination of the mutual spatial orientation of the atoms and the distance between them by entirely optical means. A corresponding theoretical description ...
Added: November 12, 2018
Eminov P. A., Physical Review D - Particles, Fields, Gravitation and Cosmology 2018 Vol. 97 No. 9 P. 095019-1-095019-10
The anomalous magnetic moment (AMM) for excited states of an electron in a constant magnetic field has been calculated within the framework of two-dimensional electrodynamics. The analytical results for the interaction energy of the anomalous magnetic moment with the external magnetic field are obtained in two limiting cases of nonrelativistic and relativistic energy values in ...
Added: May 21, 2018
Zhuzhoma E. V., Grines V., Medvedev V., Журнал Средневолжского математического общества 2013 Т. 15 № 3 С. 21-28
Доказывается существование гетероклинических сепараторов в магнитном поле плазмы ...
Added: October 17, 2014
Bespalov P. A., Savina O. N., Известия высших учебных заведений. Радиофизика 2012 Т. 55 № 4 С. 237-254
In quiet low-latitude Earth's ionosphere, a rather developed current system that is responsible for the Sq magnetic-field variations is formed in quiet sunny days under the action of tidal streams. The density of the corresponding currents is maximal at the equatorial latitudes in the midday hours, where the so-called equatorial current jet is formed. In ...
Added: November 28, 2012
Kruglov V., Malyshev D., Pochinka O., Математический сборник 2018 Т. 209 № 1 С. 100-126
Изучение динамики потока на поверхностях путем разбиения фазового пространства на ячейки с одинаковым предельным поведением траекторий внутри ячейки восходит к классическим работам А.А. Андронова, Л.С. Понтрягина, Е.А. Леонтович, А. Г. Майера. Типы ячеек, которых конечное число, и их примыкание друг к другу полностью определяют класс топологической эквивалентности потока с конечным числом особых траекторий. Если в ...
Added: September 11, 2017
Kechiev L., М. : Грифон, 2019
На основе обобщения отечественного и мирового опыта рассматривается комплекс вопросов, связанных с разработкой эффективных экранов для радиоэлектронной аппаратуры (РЭА), работающей в широком частотном диапазоне. Защита РЭА от воздействия электромагнитных полей представлена комплексно: от концепции экранирования до методики расчета неоднородных экранов; от металлических материалов до перспективных композитных и наноматериалов, применяемых при экранировании. В пособии рассматривается концепция ...
Added: October 21, 2019
Akhmet’ev P., Journal of Geometry and Physics 2013 Vol. 74 No. 213 P. 381-391
A particular result towards a positive solution of a problem by V.I. Arnol’d about a higher analog of the ergodic asymptotic invariant of magnetic fields is presented. ...
Added: March 15, 2015
Mikhailov E. A., Elistratov S. A., Grachev D., Computational Mathematics and Modeling 2021 Vol. 32 No. 1 P. 45-51
We investigate a stochastic model of the galactic dynamo in the planar approximation, assuming that turbulent diffusivity is a renewal process. For linear and nonlinear modifications of this model, numerical methods are applied to construct statistical moments and correlation tensors of the magnetic field. ...
Added: October 31, 2021
Denis A. Grachev, Mikhailov E., Zhikhareva E., Open Astronomy 2023 Vol. 32 No. 1 Article 2022021
Magnetic fields of various astrophysical objects
are described using the dynamo mechanism. Corresponding
equations in the three-dimensional case are quite difficult
to be solved. So, the two-dimensional models can be useful
for such problems. For galactic and accretion discs, it is
convenient to use the no-z approximation. The initial conditions
for the magnetic field have a special interest. It
seems that the ...
Added: March 9, 2023
Makarov A. A., Physical Review A: Atomic, Molecular, and Optical physics 2015 Vol. 92 No. 5 P. 053840 - 053840
Absorption spectrum of a system of two closely spaced identical atoms displays, at certain preparation, a dip that can be much narrower than the natural linewidth. This preparation includes (i) application of a strong magnetic field at an angle α, that is very close to the magic angle α0 = arccos √(1/ 3) ≈ 54.7◦, with ...
Added: November 12, 2018
Kruglov V., Pochinka O., Журнал Средневолжского математического общества 2016 Т. 18 № 3 С. 41-48
Изучение динамики потока на поверхностях путем разбиения фазового пространства на ячейки с одинаковым предельным поведением траекторий внутри ячейки восходит к классическим работам А.А. Андронова, Л.С. Понтрягина, Е.А. Леонтович, А. Г. Майера. Типы ячеек (которых конечное число) и их примыкание друг к другу полностью определяют класс топологической эквивалентности потока с конечным числом особых траекторий. Если в ...
Added: June 11, 2016
Kruglov V., Malyshev D., Pochinka O., Журнал Средневолжского математического общества 2016 Т. 18 № 2 С. 47-58
Изучение динамики потока на поверхностях путем разбиения фазового пространства на ячейки с одинаковым предельным поведением траекторий внутри ячейки восходит к классическим работам А.А. Андронова, Л.С. Понтрягина, Е.А. Леонтович, А. Г. Майера. Типы ячеек (которых конечное число) и их примыкание друг к другу полностью определяют класс топологической эквивалентности потока с конечным числом особых траекторий. Если в ...
Added: November 16, 2016
Eminov P. A., Sezonov Y. I., Gordeeva S., Diamond and Related Materials 2014 Vol. 49 P. 72-76
Analysis of the contribution of electron scattering on phonons, longitudinal and flexural resistance in the nanotube in a longitudinal magnetic field has been carried out quantitatively. The dependence of the conductance of the nanostructure on the nanotube radius, surface electron density, temperature, and Aharonov–Bohm parameter in the case of an isotropic phonon spectrum and taking ...
Added: November 23, 2014
191574970, Functional Analysis and Its Applications 2006 Vol. 40 No. 2 P. 81-90
It is well known that every module M over the algebra ℒ(X) of operators on a finite-dimensional space X can be represented as the tensor product of X by some vector space E, M ≅ = E ⊗ X. We generalize this assertion to the case of topological modules by proving that if X is a stereotype space with the stereotype approximation property, then for each stereotype module M over the ...
Added: September 23, 2016
Losev A. S., Slizovskiy S., JETP Letters 2010 Vol. 91 P. 620-624
Added: February 27, 2013
Ilyashenko Y., Яковенко С. Ю., М. : МЦНМО, 2013
Предлагаемая книга—первый том двухтомной монографии, посвящённой аналитической теории дифференциальных уравнений.
В первой части этого тома излагается формальная и аналитическая теория нормальных форм и теорема о разрешении особенностей для векторных полей на плоскости.
Вторая часть посвящена алгебраически разрешимым локальным задачам теории аналитических дифференциальных уравнений , квадратичным векторным полям и проблеме локальной классификации ростков векторных полей в комплексной области ...
Added: February 5, 2014