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On a new class of progressive waves in Yang–Mills fields with SU(2) symmetry
Nuclear Physics B. 2024. Vol. 1001. Article 116505.
Alexander S. Rabinowitch
In the present paper, a new class of wave solutions to the Yang-Mills equations with SU(2) symmetry is considered. They describe the propagation of non-Abelian transverse progressive waves. In the case under consideration, the problem is reduced to six nonlinear partial differential equations. Their solutions are sought in a special form that allows them to be satisfied. The found exact wave solutions to the considered Yang-Mills equations do not have singularities in the entire space and have finite energies that can take any positive value. The obtained results can be used to detect non-Abelian progressive waves in space.
Ponomarev A., Aleksandrov N., Plasma Physics Reports 2026 Vol. 52 No. 3 P. 367–378
An approximate method for calculating drift velocity and other kinetic coefficients of heavy ions
in a light gas is generalized to gaseous mixtures. Obtained equations are used to calculate the mobilities of
and ions, as well as rate constants for inelastic ion–molecule processes with these ions in helium with
small additions of O2 under an electric field. Calculated ...
Added: April 27, 2026
Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252
During magnetospheric perturbations a relatively thin current sheet with thickness about several
proton gyroradii forms in the Earth’s magnetotail. In a framework of the kinetic model describing current
sheet thinning in the magnetotail, the processes of its formation are investigated depending on the normal
magnetic field magnitude which affects both the current sheet structure and particle dynamics within ...
Added: April 27, 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
П.А.Беспалов, О.Н. Савина, Геомагнетизм и аэрономия 2025 Т. 65 № 5 С. 620–628
Several basic models of frequency dynamics in quasi-periodic VLF emissions with spectral form repetition
periods from 10 to 300 s are considered. In all cases, we are talking about manifestations of cyclotron instability
of electron radiation belts thet are well described within the framework of the plasma magnetospheric maser
theory based an the averaged self-consistent system of quasi-linear ...
Added: April 25, 2026
Bondarenko G.G., Fisher M. R., Kristya V. I., Bulletin of the Russian Academy of Sciences: Physics 2026 Vol. 90 No. 4 P. 572–576
A model of the cathode layer of a glow gas discharge with a thin dielectric film on a fraction of the
cathode’s working surface is formulated. It is shown that a glow discharge most rapidly transits to an arc discharge,
accompanied by a significant increase in discharge current density and a decrease in cathode voltage
drop, if the ...
Added: April 25, 2026
Zadkov V., Plasmonics 2026 Vol. 21 P. 1503–1512
Plasmonic nanostructures typically exhibit shifts in their resonant wavelength in response to changes in the refractive index of the surrounding medium. This limits their applications in scenarios requiring stable optical resonances. Here we present a metallic-dielectric hybrid metasurface that exhibits stable multi-wavelength resonance even if the refractive index of its surrounding varies. To quantitatively evaluate the stability of ...
Added: April 22, 2026
Shchur L., Antonov D., Burovski E., International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2026 P. 1–9
We present a simple model that simulates the possible influence of one society on another. Specifically, two societies evolve deterministically according to the well-known Nowak-May spatial game with the addition of mutual influence through connections that reflect the current states of the societies. This may be related to the influence of a global information resource ...
Added: April 20, 2026
Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...
Added: April 20, 2026
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
Kalikin N., Брандышев П. Е., Budkov Y., Journal of Chemical Physics 2026 Vol. 164 Article 154904
This study presents a mean-field theory for zwitterionic polymer solutions confined within attractive slit-like nanopores. Building upon our prior model for self-coacervation [Budkov et al., Soft Matter 19, 3281–3289 (2023)], we demonstrate that strong electrostatic dipole–dipole correlations between monomeric units, coupled with attraction to pore walls, can induce capillary-driven liquid–liquid phase separation inside the pore—a ...
Added: April 18, 2026
Moiseev E., Масютин Д. А., Мельниченко И. А. et al., Optics and Laser Technology 2025 Vol. 201 No. 115289 P. 1–5
Lasing at a wavelength near 255 nm is demonstrated in AlGaN whispering gallery mode microlasers with radii ranging from 1 to 3 µm fabricated on sapphire substrates, representing one of the shortest-wavelength realizations of microdisk lasers on this technologically relevant platform. The minimum threshold energy was 8.8 pJ (power density ≈ 280 kW/cm2) for a microlaser with a ...
Added: April 18, 2026
A. V. Pereskokov, Theoretical and Mathematical Physics 2026 Vol. 226 No. 3 P. 470–484
We consider the spectral problem for a hydrogen atom in orthogonal electric and magnetic fields with
an additional self-consistent field. We obtain an asymptotic expansion of self-consistent energy levels.
We find an asymptotic expansion of asymptotic eigenfunctions near the sphere |q| = 2. We calculate the
asymptotics of their norm in the space L2(R3). ...
Added: April 12, 2026
Anna S. Bodrova, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 113 No. 4 Article 045403
We investigate the diffusion coefficients and mean-squared displacements in a polydisperse granular gas in
a homogeneous cooling state by considering the roughness of the particles. We study their dependence on the
normal and tangential restitution coefficients. We show that the motility of particles is strongly affected by their
mechanical properties and surface characteristics. ...
Added: April 5, 2026
Рощин Д. Е., Патлажан С. А., Кравченко И. В. et al., Коллоидный журнал 2026 Т. 88 № 3
В работе экспериментально и методами численного моделирования исследованы особенности деформационной динамики вязкоупругих капель растворов полиакрилонитрила (ПАН) в диметилсульфоксиде (ДМСО) при течении в силиконовом масле в канале с резким сужением. Основное внимание сосредоточено на изучении влияния концентрации ПАН и капиллярного числа на деформационное поведение и устойчивость таких капель. Показано, что увеличение концентрации ПАН приводит к существенному ...
Added: April 1, 2026
Kalyabin D., Demidov V., Никитов С. А., Физика металлов и металловедение 2025 Т. 126 № 11 С. 1220–1225
Исследован спиновый транспорт в антиферромагнитных проводниках. Спиновый ток инжектировали из ферромагнитной пленки Co в антиферромагнитный проводник FeMn, после чего было исследовано постоянное напряжение, возникающее в слое Pt в условиях ферромагнитного резонанса при различных углах поворота ориентации постоянного магнитного поля в плоскости пленки. Был рассчитан вклад, вызванный чистым спиновым током (спиновой накачкой), зарегистрированный с помощью обратного ...
Added: March 27, 2026
V.E. Antonov, Ceramics International 2025 Vol. 51 No. 18 P. 25160–25168
Diamonds with impurity-vacancy centers are an attractive material for microphotonics and can be used, for example, as single photon emitters. Detonation nanodiamonds (DNDs) with intrinsic single nitrogen-vacancy (NV) centers are cheap and suitable for mass production. This paper proposes a way to overcome the two main properties of the DNDs: the tendency to agglomeration and ...
Added: March 26, 2026
Vladimir E. Antonov, Materials Chemistry and Physics 2025 Vol. 332 Article 130232
Multilayer graphane (hydride of graphite) is a crystalline hydrocarbon of composition CH, which can be synthesized
from graphite and molecular hydrogen at pressures above 2 GPa [V.E. Antonov et al. Carbon 100 (2016)
465]. Using X-ray diffraction, this compound was tentatively identified as the “graphane II” phase of 3D-graphane
predicted by ab initio calculations [X.-D. Wen et al. ...
Added: March 26, 2026
Alexander S. Rabinowitch, Annals of Physics 2025 Vol. 480 Article 170149
In the present paper, transverse progressive waves in Yang-Mills fields with SU(2) symmetry propagating in the direction of the Cartesian z-axis are considered. In this case, the considered Yang-Mills equations are reduced to a system of six nonlinear partial differential equations. Field potentials satisfying them are sought in a special form. Substituting it in the ...
Added: July 14, 2025
Shirokov D., Modern Physics Letters A 2023 Vol. 38 No. 20n21 Article 2350096
We present a classification and an explicit form of all constant solutions of the Yang-Mills equations with SU(2) gauge symmetry for an arbitrary constant non-Abelian current in pseudo-Euclidean space ℝp,q of arbitrary finite dimension n=p+q. Using hyperbolic singular value decomposition and two-sheeted covering of orthogonal group by spin group, we solve the nontrivial system for constant solutions of the Yang-Mills ...
Added: October 5, 2023
A. S. Rabinowitch, Russian Journal of Mathematical Physics 2022 Vol. 29 No. 4 P. 576–580
In the present paper, the classical Yang-Mills equations with SU(2) symmetry are considered. The application of a generalized Wu-Yang form for field potentials results in a nonlinear differential equation of the second order . This equation is studied for a Yang-Mills field generated by a point-like source acting at the instant t = 0. In the examined case, ...
Added: January 25, 2023
D. S. Shirokov, Computational Mathematics and Mathematical Physics 2022 Vol. 62 No. 6 P. 1007–1019
The hyperbolic singular value decomposition is used for studying the Yang–Mills equations with SU(2) gauge symmetry and the Yang–Mills–Proca equations in a pseudo-Euclidean (or Euclidean) space of an arbitrary finite dimension and signature. An explicit form of all constant solutions to the system of Yang–Mills–Proca equations in the case of the Lie group SU(2) is ...
Added: October 11, 2022
Shirokov D., , in: Journal of Physics: Conference Series, Volume 2099Vol. 2099: International Conference «Marchuk Scientific Readings 2021» (MSR-2021) 4-8 October 2021, Novosibirsk, Russian Federation.: IOP Publishing, 2021. Ch. 012015 P. 1–7.
We study the Yang-Mills equations in the algebra of h-forms, which is developed in the works of N. G. Marchuk and the author. The algebra of h-forms is a special geometrization of the Clifford algebra and is a generalization of the Atiyah-Kahler algebra. We discuss an invariant subspace of the constant Yang-Mills operator in the ...
Added: October 11, 2022
Alexander S. Rabinowitch, European Physical Journal Plus 2021 Vol. 136:574 No. 5 P. 1–10
In the present paper, the Yang-Mills equations which play a leading role in modern physics are studied. For them, a new class of non-abelian wave solutions is found, This class of solutions describes axisymmetric reansverse progressive waves in Yang-Mills fields. The found wave solutions are represented in the form of absolutely convergent series. ...
Added: May 26, 2021
Marchuk N., Shirokov D., Physics of Particles and Nuclei 2020 Vol. 51 No. 4 P. 589–594
The paper considers plane-wave solutions of the Yang–Mills equations, which allow one to write out three systems of equations modeling the Yang–Mills system. An explicit form of all plane-wave solutions of the Yang–Mills equations with the SU(2) gauge symmetry and zero current in a (pseudo)Euclidean space of arbitrary finite dimension is presented. ...
Added: September 29, 2020