?
Nonlinear Equilibrium Structure of Super Thin Current Sheets: Influence of Quasi-Adiabatic Electron Population
JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS. 2023. Vol. 128. No. 6. Article e2023JA031459.
Recent MMS observations confirmed the existence of the quasi-stationary electron-scale super-thin current sheets (STCSs) with a half-thickness of few electron gyroradii. STCSs contain the electronpopulation consisting of magnetized and demagnetized particles. To study the role of the demagnetized electrons, we developed a self-consistent combined model of a STCS in which the dynamics of a part of the electron population is described by the quasi-adiabatic approximation, while the motion of the other part is described by the guiding center approximation. Demagnetized ion population can be described in a frame of quasi-adiabatic approach. In the presented model we introduced the weight coefficient of the demagnetized electron plasma density χ depending on the magnetic field normal component Bn/B0 andcompared the characteristic profiles of two STCSs differing by the presence (χ ≠ 0) and absence (χ = 0) of demagnetized electrons. It is shown that the presence of demagnetized electrons makes the current density profile of STCS significantly more intense and narrower. The thickness and intensity of STCS depend on the anisotropy coefficient of magnetized electrons and the incoming drift velocity of demagnetized electrons. The maximum current density continuously increases with the growth of the demagnetized electron population andis controlled by the ratio of the thermal to the incoming drift electron velocities. Thus intense current sheets can be formed even in the absence of strong electron anisotropy, which is confirmed by MMS observations.
Language:
English
Publication based on the results of:
Zapryagaev A., Pahomov F., Logic Journal of the IGPL 2026 Vol. 34 No. 4 Article 12
We prove the linear orders first-order definable in the standard model (Z;<,+) of Presburger arithmetic are exactly those that are (Z;<,+)-definably embeddable into the lexicographic ordering on Z^n for some n. ...
Added: July 16, 2026
Veretennikov A., Veretennikova M., Reliability: Theory & Applications 2022 Vol. 17 No. 3(69) P. 273–291
A simple model of the new notion of ``Markov up'' processes is proposed; its positive recurrence and ergodic properties are shown under the appropriate conditions. ...
Added: July 16, 2026
Veretennikov A., Stochastics and Partial Differential Equations: Analysis and Computations 2022 Vol. 10 P. 1165–1179
Positive recurrence of a $d$-dimensional diffusion with an additive Wiener process, with switching and with one recurrent and one transient regimes and variable switching intensities is established under suitable conditions. The approach is based on embedded Markov chains. ...
Added: July 15, 2026
Veretennikov A., Queueing Systems 2022 Vol. 100 No. 3-4 P. 357–359
B.A. Sevastyanov's result about Erlang telephone station problem has been extended in several publications. In this short note one open question about this model has been discussed. The whole volume was devoted mainly to open problems related to the name of Erlang. ...
Added: July 15, 2026
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 No. 1 P. 014217–014217
This study investigates the dynamical origins and statistical properties of extreme events (EEs) in a diffusively coupled theoretical Brusselator system, extending from pairwise interactions to globally coupled networks. Statistically, the emergence of EEs is characterized by heavy-tailed probability density functions and exponential interevent interval distributions, alongside an analysis of the complementary cumulative distribution function and ...
Added: July 15, 2026
Prokofev V., Zabrodin A., Proceedings of the Steklov Institute of Mathematics 2020 Vol. 309 P. 225–239
We consider solutions of the matrix Kadomtsev-Petviashvili (KP) hierarchy that are trigonometric functions of the first hierarchical time t1 = x and establish the correspondence with the spin generalization of the trigonometric Calogero-Moser system at the level of hierarchies. Namely, the evolution of poles xi and matrix residues at the poles aαibβi of the solutions with respect to the kth hierarchical time of the ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Journal of Physics A: Mathematical and Theoretical 2021 Vol. 54
We consider solutions of the Kadomtsev–Petviashvili hierarchy which are elliptic functions of x = t1. It is known that their poles as functions of t2 move as particles of the elliptic Calogero–Moser model. We extend this correspondence to the level of hierarchies and find the Hamiltonian Hk of the elliptic Calogero–Moser model which governs the dynamics of poles with respect to the kth ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Theoretical and Mathematical Physics 2021 Vol. 208 P. 1093–115
We consider solutions of the 2D Toda lattice hierarchy which are elliptic functions of the zeroth time t_0=x. It is known that their poles as functions of t_1 move as particles of the elliptic Ruijsenaars-Schneider model. The goal of this paper is to extend this correspondence to the level of hierarchies. We show that the ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Теоретическая и математическая физика 2023 Т. 217 № 2 С. 299–316
We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization of the BKP hierarchy. We introduce the tau function of the B-Toda hierarchy and obtain bilinear equations for it. Examples of soliton tau functions are presented in explicit form. ...
Added: July 14, 2026
Silakov D., Системный администратор 2026 № 5 С. 46–51
В предыдущей статье про Open Source в КНР [1] мы рассказали про Alibaba – крупную корпорацию, занимающую тридцатое место в рейтинге самых значимых мировых брэндов за 2025 год [2]. Место почетное, но не первое среди китайских компаний – на тринадцатом месте расположилась Tencent, разработчик WeChat и ряда других продуктов, широко используемых нашими восточными соседями. Tencent ...
Added: July 14, 2026
IEEE, 2026.
Added: July 13, 2026
Switzerland: Springer, 2026.
This volume contains the refereed proceedings of the 25th International Conference on Mathematical Optimization Theory and Operations Research (MOTOR 2026) 1 held during July 6–11 in a picturesque place near Lake Baikal, Irkutsk, Russia. The MOTOR conference is a direct successor and scientific inheritor of several prominent events on mathematical programming, combinatorial and stochastic optimization, ...
Added: July 12, 2026
Шиманогов И. Н., Vyalyi M., Дискретный анализ и исследование операций 2025 Т. 32 № 4 С. 213–230
A well-studied class of algorithmic problems is that of regular realizability: checking the non-emptiness of the intersection of a regular language with a given language. This problem has a natural algebraic interpretation: verifying whether an element of a Boolean algebra belongs to the kernel of a certain homomorphism. This motivates the consideration of an analogous ...
Added: July 12, 2026
Rybakov M., Annals of Pure and Applied Logic 2026 Vol. 177 Article 103811
The paper presents a solution to the question about the decidability of the two-variable fragment of the superintuitionistic predicate logic QLC defined by the class of linear Kripke frames, which is also the ‘superintuitionistic’ fragment of the modal predicate logic QS4.3, under the Gödel translation. We prove that the fragment is undecidable. The result remains true for the ...
Added: July 11, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Surkov A., Ignatenko V., Koltcov Sergei, Computers, Materials and Continua 2026
Large language models have recently demonstrated promising capabilities in mathematical reasoning; however, their performance on tasks requiring strict symbolic manipulation, such as solving differential equations, remains limited, especially for compact models. In this work, we investigate whether activation steering combined with reinforcement learning can improve the quality of solutions generated by pretrained language models without ...
Added: July 8, 2026
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Tsareva O. O., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2026 Vol. 52 No. 2 P. 179–185
The influence of asymmetry of plasma sources on the structure and spatial localization of a superthin
current sheet (STCS) supported by demagnetized electrons is studied using a self-consistent model. The
simulation takes into account the presence of a single plasma source in the northern hemisphere, which
makes the plasma flow asymmetric. It is demonstrated that the asymmetry of ...
Added: April 27, 2026
Tsareva O. O., Leonenko M. V., Grigorenko E. E. et al., Geophysical Research Letters 2024 Vol. 51 No. 8 Article e2023GL106867
Recent MMS observations have discovered electron-scale super-thin current sheets (STCSs) with a partial electron demagnetization, which distinguishes them from the ion-scale TCSs traditionally observed by the Cluster mission. Our investigation focuses on the dynamics of STCSs and reveals new aspects influencing their stability. We use the earlier proposed 1D collisionless self-consistent equilibrium STCS model and ...
Added: April 17, 2024
Lukin A., Dmitri V., Artemyev A. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 106 Article 065205
Current sheets are spatially localized almost-one-dimensional (1D) structures with intense plasma currents. They play a key role in storing the magnetic field energy and they separate different plasma populations in planetary magnetospheres, the solar wind, and the solar corona. Current sheets are primary regions for the magnetic field line reconnection responsible for plasma heating and ...
Added: October 19, 2022
Zelenyi L. M., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2021 Vol. 47 P. 857–877
−Albert Abubakirovich Galeev is a Soviet and Russian expert in plasma physics who actively contributed to fusion research. In the early 1970s, he became a head of department at the Space Research Institute of the Academy of Sciences of USSR and began devoting most of his time to the problems of the physics of space ...
Added: October 2, 2021
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
E.E. Grigorenko, Dubyagin S., Malykhin A. Y. et al., Geophysical Research Letters 2018 Vol. 45 No. 2 P. 602–611
We use data from the 2013–2014 Cluster Inner Magnetosphere Campaign, with its uniquely small spacecraft separations (less than or equal to electron inertia length, λe), to study multiscale magnetic structures in 14 substorm‐related prolonged dipolarizations in the near‐Earth magnetotail. Three time scales of dipolarization are identified: (i) a prolonged growth of the BZ component with ...
Added: March 5, 2020
Lukin A. S., Yushkov E. V., Artemyev A. V. et al., Plasma Physics Reports 2018 Vol. 44 No. 6 P. 559–567
Electron dynamics and acceleration in an electromagnetic field configuration modeling the current sheet configuration of the Earth’s magnetotail region is investigated. A focus is made on the role of the dawn−dusk magnetic field component By in the convection electron heating by an electric field Ey. For numerical integration of a large number of test particle trajectories over long ...
Added: January 31, 2020