ВЛИЯНИЕ СПИН-ПОЛЯРИЗОВАННОГО ТОКА НА ДИНАМИКУ И ИЗМЕНЕНИЕ СТРУКТУРЫ МАГНИТНЫХ ВИХРЕЙ В ТРЕХСЛОЙНОМ ПРОВОДЯЩЕМ НАНОЦИЛИНДРЕ БОЛЬШОГО ДИАМЕТРА

Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...

Added: September 3, 2026

Stress tensor of inhomogeneous flexible polymer chain solutions beyond the ground-state dominance approximation

Budkov Y., Journal of Chemical Physics 2026 Vol. 165 No. 9 Article 094902

We derive the stress tensor of a flexible polymer solution within the Gaussian-chain self-consistent field theory (SCFT) without invoking the ground-state dominance (GSD) approximation. Starting from a covariant formulation of the single-chain partition function in a background metric, we obtain the symmetric stress tensor expressed through the full Edwards propagators. The result contains the local ...

Added: September 2, 2026

Metastability of lipid vesicle shapes in uniaxial extensional flow

Pikina E., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 113 No. 5

In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analyzing the Helfrich bending energy and viscous flow stresses in the limit of highly elongated shapes, we demonstrate that all stable vesicle configurations are metastable. For vesicles with small reduced volume, we identify the type ...

Added: September 1, 2026

Orbifold Saito theory of A and D type singularities

Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80

Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...

Added: September 1, 2026

Non-axiomatizability of modal predicate logics of Dedekind-complete linear orders with constant domains

Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026

We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...

Added: September 1, 2026

Semi-Interlaced Polytopes

Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187

Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems. Motivated by relaxing the bound dim(F)+1 to dim(F), we ...

Added: August 31, 2026

HF Heating Effects as Seen From Below and Above: First Results of Joint SURA–Ionosfera-M Experiment

Chernyshov A., Padokhin A. M., Grach S. M. et al., Geophysical Research Letters 2026 Vol. 53 P. 1–11

This paper presents the first results of a coordinated experiment on the ionospheric plasma response to high-frequency (HF) overdense heating, conducted using the SURA heating facility and the Ionosfera-M satellite. The experiment combined ground-based observations with in situ satellite measurements, enabling a comprehensive study of artificial ionospheric disturbances. During the experiment, the SURA facility transmitted ...

Added: August 31, 2026

Hectometric Continuum Radiation Observations on Different Temporal Scales in Near-Earth Space

D. A. Dorofeev, A. A. Chernyshov, Mogilevsky M. M. et al., JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS 2025 Vol. 130 Article e2025JA033900

This study analyzes data from the ERG (Arase) satellite over a period of nearly 7 years (2017–2023). During this time, about 1,000 cases of hectometric continuum (HMC) radiation in near‐Earth space were detected, which made it possible to identify characteristic features on different time scales. On a daily scale, it was established that HMC is ...

Added: August 31, 2026

On the nature of hectometric continuum-type emissions in the near-Earth plasma

Mogilevsky M. M., Shaposhnikov V., Chernyshov A. et al., Physics of Plasmas 2025 Vol. 32 P. 1–10

The ERG (Arase) satellite recently discovered a non-thermal hectometric continuum with a narrowband frequency structure. The mechanism behind the generation of this type of emission in the near-Earth plasma is still unknown. This study examines the potential use of electron cyclotron harmonics instability to explain the line structure of hectometric radio emissions for the first ...

Added: August 31, 2026

A new spin on polynomial relations among kappa classes

Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146

We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...

Added: August 31, 2026

Any Topological Recursion on a Rational Spectral Curveis KP Integrable

Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69

We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...

Added: August 31, 2026

Сплетенный мир: кошка перевернулась. Доклад Римскому клубу

Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.

Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...

Added: August 31, 2026

Multiplicity-free products of Schubert divisors

Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786

Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...

Added: August 30, 2026

Mukai models of Fano varieties

Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162

We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...

Added: August 30, 2026

Mukai bundles on Fano threefolds

Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99

We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...

Added: August 30, 2026

Full exceptional collections on the symplectic isotropic Grassmannians

Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211

We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...

Added: August 30, 2026

Wave dynamics within the Whitham-Ostrovsky equation

Flamarion M. V., Pelinovsky E., Nonlinear Dynamics 2026 Vol. 114 Article 784

In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render ...

Added: June 5, 2026

Взаимодействие резонансов и глобальный хаос в динамике ротатора, возбуждаемого бинарной последовательностью импульсов

Chernyshov D., В кн.: XXIX Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского. Москва, 22–28 апреля 2025 года.: М.: МИЭМ НИУ ВШЭ, 2025.

Работа посвящена исследованию обобщённого отображения Чирикова, описывающего динамику плоского ротатора под действием периодического возбуждения. Получены аналитические и численные результаты, демонстрирующие стохастический характер поведения системы при бинарном режиме управления ротатором. Новым результатом является обнаружение дополнительной серии резонансов (антирезонансов) и установление границы устойчивого поведения нелинейных отображений при сложных методах управления динамикой нелинейной системы. ...

Added: May 19, 2026

Perovskite nanoparticles Cs4PbBr6 and CsPbBr3: synthesis, analysis and peculiar optical properties

Гущина В. А., / Series chemrxiv-2023-vpzhz-v2 "ChemRxiv". 2023.

All-inorganic perovskite CsPbBr3 and Cs4PbBr6 nanoparticles are being intensively studied due to their unique properties and wide range of applications; however, however, the nature of their optical properties is not yet fully understood due to the difficulty of synthesis of singlephase nanoparticles. In this article we describe the features of the synthesis of single-phase particles ...

Added: May 14, 2026

Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena

Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.

We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...

Added: April 20, 2026

Исследование устойчивости колебательной π-моды в возмущенной цепочке Тоды

Кедров А. А., С.А. Щербинин, Известия высших учебных заведений. Прикладная нелинейная динамика 2025 Т. 31 № 1

Цель настоящей работы — исследовать устойчивость периодического режима, соответствую щего моде с наименьшей длиной волны (так называемой-моде) в цепочке Тоды с кубическим возмущением в потенциале межчастичного взаимодействия. Методы. Исследование устойчивости проводилось на основе стандартного метода Флоке. Возникающая при этом вариационная система расщепляется на независимые двумерные подсистемы, что позволяет делать выводы об устойчивости-моды для цепочки из ...

Added: November 27, 2025

Исследование влияния толщины немагнитного слоя на связанную динамику магнитных вихрей в спин-трансферном наноосцилляторе

Екомасов Е. Г., Нерадовский Д. Ф., Фахретдинов М. И. et al., Челябинский физико-математический журнал 2025 Т. 10 № 2 С. 227–235

The effect of the thickness of a non-magnetic layer and the magnitude of the spin-polarized current on the coupled dynamics of two magnetic vortices in a spin-transfer nanoscillator is investigated. A spin-transfer nanoscillator in the form of a three–layer conductive cylinder with a diameter of 200 nm is considered. The features of the dynamics of ...

Added: September 28, 2025

Стационарный режим связанных колебаний магнитных вихрей в многослойном спин-трансферном наноосцилляторе

Екомасов Е. Г., Нерадовский Д. Ф., Pugach N. et al., Известия Уфимского научного центра РАН 2025 № 1 С. 55–60

The coupled dynamics of magnetic vortices in spin-transfer nanooscillators is investigated. A spin-transfer nanooscillator is a structure in which the precession of magnetization is excited due to the effect of spin moment transfer between the spin-polarized current and magnetization. The case of a spin-transfer nanooscillator, which is a three-layer nanocylinder, where two magnetic layers are ...

Added: September 28, 2025

НОВЫЙ СТАЦИОНАРНЫЙ РЕЖИМ СВЯЗАННЫХ КОЛЕБАНИЙ ВИХРЕЙ В ТРЕХСЛОЙНОМ СПИН-ТРАНСФЕРНОМ НАНООСЦИЛЛЯТОРЕ ПРИ БОЛЬШИХ ЗНАЧЕНИЯХ ТОКОВ

Антонов Г. И., Екомасов Е. Г., Звездин К. А. et al., Физика металлов и металловедение 2024 Т. 125 № 1 С. 39–46

The influence of a large spin-polarized current on the coupled dynamics of vortices in spin-transfer nanooscillators with a diameter of 400 nm is investigated. New stationary modes of coupled oscillations of vortices have been discovered, both for the same and opposite polarities of their cores. The dependence of the frequency of stationary coupled oscillations of magnetic vortices on ...

Added: November 30, 2024