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## The Magnetic Correlation Tensor in the Dynamo Theory

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.

Елистратов С. А., Grachev D., Вычислительные методы и программирование 2020 Т. 21 № 2 С. 172-179

In this paper we consider a nonlinear modification of a stochastic model of the galactic dynamo in which the coefficient of turbulent diffusion is assumed to be a random process with renewal. It is shown that, in the case of small magnetic field strength, its statistical moments behave almost in the same manner as in ...

Added: October 31, 2021

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

Tatiana V. Tarasova, Alexey V. Slunyaev, Communications in Nonlinear Science and Numerical Simulation 2023 Vol. 118 Article 107048

Synchronous collisions of solitons of the Korteweg–de Vries equation are considered as a representative example of the interaction of a large number of solitons in a soliton gas. Statistical properties of the soliton field are examined for a model distribution of soliton amplitudes according to a power law. N-soliton solutions (N ≤ 50) are constructed
with the help ...

Added: December 18, 2022

Lebedev V., Vergeles S. S., / Cornell University. Series Physics "arxiv.org". 2023.

Chaotic variations in flow speed up mixing of scalar fields via intensified stirring. This paper addresses the statistical properties of a passive scalar field mixing in a regular shear flow with random fluctuations against its background. We consider two-dimensional flow with shear component dominating over smooth fluctuations. Such flow is supposed to model passive scalar ...

Added: December 28, 2023

Kolokolov I., Turitsyn K., Journal of Experimental and Theoretical Physics 2002 Vol. 94 No. 6 P. 1193-1200

For the field u(x, t) governed by the Burgers equation with a thermal noise, short-time asymptotics
of multipoint correlators are obtained. Their exponential parts are independent of the correlator number. This
means that they are determined by a single rare fluctuation and exhibit the intermittency phenomenon ...

Added: February 25, 2017

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

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

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

Burov A. A., Nikonova E., Доклады Российской академии наук. Физика, технические науки 2021 Т. 498 С. 53-56

The generating functions enable to calculate the components of the Euler–Poinsot tensor using differentiation are introduced. The role of these functions is similar to the role of generating functions in mathematical statistics, enabling one to calculate statistical moments of any order. The properties of these functions are discussed. ...

Added: October 23, 2021

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

Левашов Н. Н., Попов В.Ю., Малова Х. В. et al., Космические исследования 2022 Т. 60 № 1 С. 11-16

В статье представлен результат численного эксперимента по ускорению заряженных частиц в турбулентном поле с различными уровнями перемежаемости. Главной задачей было исследование влияния перемежаемости на ускорение частиц в турбулентной космической плазме. Для этого была разработана трехмерная модель турбулентного поля с контролируемым уровнем перемежаемости. Перемежаемое электромагнитное поле моделируется как суперпозиция турбулентного электромагнитного поля со степенным спектром, полученного ...

Added: May 1, 2022

Khabarova O., Timothy Sagitov, Kislov R. et al., JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS 2021 Vol. 126 No. 8 P. 1-25

We propose a new method of the automated identification of current sheets (CSs) that represents a formalization of the visual inspection approach employed in case studies. CSs are often identified by eye via the analysis of characteristic changes in the interplanetary magnetic field (IMF) and plasma parameters. Known visual and semi-automated empirical methods of CS ...

Added: September 10, 2021

Eminov P. A., Ternov A. I., Physics of Particles and Nuclei 2014 Vol. 45 No. 2 P. 397-408

A review of the current status of the theory of massive neutrino radiative decay is presented. We develop our previous studies and perform the detailed analysis of the process of radiative decay of a massive Dirac neutrino in an intense external magnetic field in the presence of medium. The probability of the mentioned above process ...

Added: January 30, 2014

Kolokolov I., Gamba A., Journal of Statistical Physics 1999 Vol. 94 No. 5/6 P. 759-777

We compute analytically the probability distribution function PP(ε) of the dissipation field ε=(∇θ)2 of a passive scalar θ advected by a d-dimensional random flow, in the limit of large Peclet and Prandtl numbers (Batchelor–Kraichnan regime). The tail of the distribution is a stretched exponential: for ε→∞, ln PP(ε)∼−(d2ε)1/3. ...

Added: March 5, 2017

Golikov E. A., V.V. Izmodenov, Alexashov D. B. et al., Monthly Notices of the Royal Astronomical Society 2017 Vol. 464 No. 1 P. 1065-1076

Opher et al., Drake, Swisdak and Opher have shown that the heliospheric magnetic field results in formation of two-jet structure of the solar wind flow in the inner heliosheath, i.e. in the subsonic region between the heliospheric termination shock (TS) and the heliopause. In this scenario, the heliopause has a tube-like topology as compared with a ...

Added: January 26, 2018

Korneeva Y., Sidorova M., Semenov A. et al., IEEE Transactions on Applied Superconductivity 2016 Vol. 26 No. 3 P. 1-4

We report an experimental investigation of the hot spot evolution in superconducting single photons detectors (SSPDs) made of disordered superconducting materials with different diffusivity and energy down-conversion time: 33-nmthickNbN and 23-nm-thick NbC films. We have demonstrated that in NbC film only 405 nm photons produce sufficiently largehot-spot to trigger a single-photon response. The dependence of ...

Added: October 9, 2015

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

Kolokolov I., JETP Letters 2000 Vol. 71 No. 1 P. 12-14

Leading terms of the asymptotic behavior of the pair and higher order correlation functions for finite times and large distances have been calculated for the Burgers equation involving thermal noise. It is shown that an intermittence phenomenon occurs, whereby certain correlation functions are much greater than their reducible parts. ...

Added: March 5, 2017

Kolokolov I., Lebedev V., Falkovich G. et al., Physical Review Letters 1997 Vol. 78 No. 8 P. 1452-1455

We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation is employed in the path integral so that the calculation of the PDF tails boils down to finding the special field-force configuration (instanton) that realizes the extremum of probability. For ...

Added: March 6, 2017

Kolokolov I., Chertkov M., Falkovich G., Physical Review Letters 1998 Vol. 80 No. 10 P. 2121-2124

The probability density function (PDF) of passive scalar dissipation P sed is found analytically in
the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime) in two dimensions. The
tail of PDF is shown to be stretched exponent. ...

Added: March 5, 2017

Eminov P. A., Sezonov Y. I., Gordeeva S. V., Physics of the Solid State 2014 Vol. 56 No. 3 P. 429-437

A numerical and analytical investigation of thermodynamic properties of a magnetized superconducting quantum cylinder has been carried out. The dependence of the difference in the magnetizations of the superconducting and normal phases on the parameters of the nanotube,temperature, and magnetic field has been analyzed. The jump in the heat capacity of the superconducting and normal ...

Added: July 4, 2014

Kolokolov I., Lebedev V., Falkovich G. et al., International Journal of Modern Physics B 1997 Vol. 11 No. 26/27 P. 3223-3245

We consider
the tails of probability density functions (PDF) for different characteristics
of velocity that satisfies Burgers equation driven by a large-scale force.
The saddle-point approximation is employed in the path integral
so that the calculation of the PDF tails
boils down to finding the special field-force configuration (instanton) that
realizes the extremum of probability. We calculate high moments of the ...

Added: March 6, 2017