{"title":"Acoustic Turbulence: From the Zakharov–Sagdeev Spectra to the Kadomtsev–Petviashvili Spectrum","authors":"E. A. Kochurin, E. A. Kuznetsov","doi":"10.1007/s11141-026-10465-z","DOIUrl":"10.1007/s11141-026-10465-z","url":null,"abstract":"<p>We present a brief review of theoretical and numerical works on three-dimensional acoustic turbulence both in a weakly nonlinear regime, when the amplitudes of sound waves are small, and in the case of strong nonlinearity. This review is based on the classical studies on weak acoustic turbulence by V. E. Zakharov and R. Z. Sagdeev [1, 2], on the one hand, and by B. B.Kadomtsev and V. I. Petviashvili on the other hand [3]. Until recently, there have been no convincing numerical experiments confirming one or the other point of view. In works [4, 5] by the authors of this review, strong arguments were found based on direct numerical simulation in favor of both theories. It is shown that the spectrum of weak Zakharov–Sagdeev turbulence ∝ <i>k</i><sup>-3/2</sup> is realized not only at low positive dispersion of sound waves, but also in the case of complete absence of dispersion. The calculated turbulence spectra in the weakly nonlinear regime have anisotropic distribution: in the region of small k, narrow cones (jets), broadening in the Fourier space, are formed. In the case of weak dispersion, the jets are smoothed out, and the turbulence spectrum tends to be isotropic in the region of short wavelengths. In the absence of dispersion, the turbulence spectrum is a discrete set of jets subject to diffraction divergence. It is found that for each individual jet, nonlinear effects are much weaker than diffraction ones, which prevents the formation of shock waves. Thus, the spectra of weak Zakharov–Sagdeev turbulence are realized due to the smallness of nonlinear effects compared with dispersion or diffraction. As the pumping level increases in the dispersionless regime, when nonlinear effects start to dominate, shock waves, namely, discontinuities propagating in space, are formed. As a result, acoustic turbulence passes into a strongly nonlinear state in the form of an ensemble of random shock waves described by the Kadomtsev–Petviashvili spectrum decaying by the law ∝ <i>k</i><sup>-2</sup>.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 5-6","pages":"374 - 390"},"PeriodicalIF":0.7,"publicationDate":"2026-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147865779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
L. A. Mayorova, S. A. Kurkin, V. S. Khorev, A. N. Kuzovlev, A. A. Yakovlev, A. V. Grechko, A. E. Hramov
{"title":"Analysis of Functional Brain Networks Recovered from Functional Magnetic Resonance Imaging Data","authors":"L. A. Mayorova, S. A. Kurkin, V. S. Khorev, A. N. Kuzovlev, A. A. Yakovlev, A. V. Grechko, A. E. Hramov","doi":"10.1007/s11141-026-10468-w","DOIUrl":"10.1007/s11141-026-10468-w","url":null,"abstract":"<p>This review considers state-of-the-art methods for analyzing functional brain networks recovered from functional magnetic resonance imaging (fMRI) data. The focus is on the application of mathematical and computational approaches, including complex network theory and machine learning methods, to study topological properties and differences of functional connectivity in the brain. Various functional network recovery methods such as correlation, information, regression, and pattern-based approaches and their application to the diagnosis of neurological and psychiatric disorders, including Alzheimer’s disease, schizophrenia, and depression, are discussed. Special attention is paid to the problem of intersubject variability of data and methods to overcome it, including the concept of consensus networks. Prospects for using machine learning, in particular graph neural networks, to classify functional networks and identify disease biomarkers, are considered. Finally, future research directions, including the study of higher-order interactions in functional brain networks, which may lead to the development of new diagnostic and therapeutic strategies, are discussed.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 5-6","pages":"416 - 431"},"PeriodicalIF":0.7,"publicationDate":"2026-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147865780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics of Nonlinear Wave Systems Admitting Singularity Formation","authors":"V. A. Glazatov, V. Zh. Sakbaev","doi":"10.1007/s11141-026-10470-2","DOIUrl":"10.1007/s11141-026-10470-2","url":null,"abstract":"<p>We study Hamiltonian systems whose trajectories can go to infinity of the phase space in a finite time. An extension of the phase space and a set of extensions of the Hamiltonian system trajectories to the extended space are defined. Each of these extensions specifies a Hamiltonian flow in the extended space. Using a flow-invariant measure on the extended space, a representation of the Hamiltonian flow by a unitary group is obtained. The ambiguity of the extension is parameterized by a probability space, and an averaged extension is found.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 5-6","pages":"445 - 452"},"PeriodicalIF":0.7,"publicationDate":"2026-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147865781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. G. Demekhov, E. E. Titova, A. A. Lyubchich, D. L. Pasmanik, J. Manninen, A. V. Larchenko
{"title":"Simultaneous Observations of Quasi-Periodic VLF Emissions by Spacecraft and on the Ground and Localization of Their Generation Region","authors":"A. G. Demekhov, E. E. Titova, A. A. Lyubchich, D. L. Pasmanik, J. Manninen, A. V. Larchenko","doi":"10.1007/s11141-026-10456-0","DOIUrl":"10.1007/s11141-026-10456-0","url":null,"abstract":"<p>We present the results of studies of simultaneous ground-based and spacecraft observations of quasiperiodic VLF emissions. About 20 events were selected in which a one-to-one correspondence between the elements of quasi-periodic emissions onboard the Van Allen Probes spacecraft and at the Kannuslehto ground-based observatory (Finland, 67.74°N, 26.27°E; McIlwain parameter <i>L</i> ≈ 5.5) was observed. This correspondence occurred over a wide range of latitudes (~ 20°) and longitudes (~ 90°) at distances of up to 3000 km between the geomagnetic projection of the spacecraft trajectory to the Earth and the ground-based station. By using multicomponent wave field measurements onboard Van Allen Probes spacecraft, we found the sections of their orbits at which the VLF waves propagated almost along the geomagnetic field and the energy flux (Poynting vector) was directed away from the geomagnetic equator. Using the data on the energetic electron distribution function obtained by the same spacecraft we calculated the growth rate of the cyclotron instability of whistler-mode waves in the magnetosphere. Comparison of the results of these calculations with the results of multicomponent VLF wave measurements allowed us to find probable generation regions of quasi-periodic emissions. It is shown that these regions are clustered in the <i>L</i>-shell interval from 4 to 5.5, and their characteristic radial size is Δ<i>L</i> ≈ 0.1–0.5, which is much smaller than the size of the quasi-periodic emission observation region (Δ<i>L</i> ≈ 1–3).</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"249 - 269"},"PeriodicalIF":0.7,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. S. Aranson, A. I. Malekhanov, V. I. Nekorkin, A. S. Pikovsky, L. Sh. Tsimring, A. L. Fabrikant
{"title":"Scientific Works by M. I. Rabinovich and Modern Theory of Oscillations and Waves","authors":"I. S. Aranson, A. I. Malekhanov, V. I. Nekorkin, A. S. Pikovsky, L. Sh. Tsimring, A. L. Fabrikant","doi":"10.1007/s11141-026-10462-2","DOIUrl":"10.1007/s11141-026-10462-2","url":null,"abstract":"<p>We present a brief overview of scientific works by Mikhail Izrailevich Rabinovich, reflecting their main directions in the context of oscillation–wave research of the last six decades.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"321 - 325"},"PeriodicalIF":0.7,"publicationDate":"2026-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimation of the Initial Approximation for the Radio Source Positioning Problem Based on Limited Satellite Constellations","authors":"I. V. Grin, O. A. Morozov, M. A. Nalchajyan","doi":"10.1007/s11141-026-10461-3","DOIUrl":"10.1007/s11141-026-10461-3","url":null,"abstract":"<p>We consider a method for estimation of the initial approximation of the coordinates of a radio emission source located on the Earth’s surface using a limited passive satellite constellation. The procedure for formation of the initial approximation is based on solving a system of equations of the difference-range and difference-Doppler methods, which can be reduced to a linear form. The considered procedure allows one to significantly increase the computational efficiency of determination of the radio emission source coordinates.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"314 - 320"},"PeriodicalIF":0.7,"publicationDate":"2026-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Reflection of a Gaussian Beam from an Arbitrary Number of Plane-Parallel Dielectric Plates","authors":"A. V. Ryabov, A. V. Palitsin","doi":"10.1007/s11141-026-10460-4","DOIUrl":"10.1007/s11141-026-10460-4","url":null,"abstract":"<p>We consider the problem of oblique incidence of a Gaussian beam on a plane-parallel dielectric structure using a multi-beam method that accounts for the contribution of waves rereflected within the layer, which significantly influence the resulting amplitude and phase distributions of the reflected wave. This approach is particularly useful for analyzing electromagnetic wave transmission through multilayer dielectric structures. A numerical method for calculating the reflected beam, based on the decomposition of the beam into plane waves using the fast Fourier transform and including the losses in each dielectric layer, is presented here. The problem is solved within the framework of the parabolic approximation. Components of the Gaussian beam spectrum with small transverse wavenumbers (compared with the wavenumber in free space) are taken into account. The arbitrary polarization of a plane wave reflected from a dielectric layer is also included.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"306 - 313"},"PeriodicalIF":0.7,"publicationDate":"2026-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Determination of the Atmospheric Optical Thickness from Absolute Measurements of Sky Brightness Temperature in the Millimeter Wavelength Range","authors":"I. I. Zinchenko, E. A. Kopylov","doi":"10.1007/s11141-026-10459-x","DOIUrl":"10.1007/s11141-026-10459-x","url":null,"abstract":"<p>We consider the errors in determining the optical thickness of the atmosphere in the millimeter wavelength range from the absolute measurements of the brightness temperature of the sky taking into account various factors. The optimal measurement angle is found. It is shown that the errors in determining the optical thickness of the atmosphere from such measurements under normal conditions are mainly determined by calibration errors, errors in the average temperature of the atmosphere, and receiver instability. In this case, zenith is the optimal angle.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"300 - 305"},"PeriodicalIF":0.7,"publicationDate":"2026-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Critical Currents in Coronal Magnetic Loops and Their Possible Manifestation During Flare Processes","authors":"V. V. Zaitsev, T. V. Simonova","doi":"10.1007/s11141-026-10455-1","DOIUrl":"10.1007/s11141-026-10455-1","url":null,"abstract":"<p>We study the equilibrium condition for a coronal magnetic loop in the form of a thin magnetic tube with electric current (the generalized Bennett criterion). Cases of current closure through the loop surface and through the photosphere are considered. It is shown that in coronal loops there is a minimum (critical) current at which a stationary loop structure can exist. The dependence of the critical current on the pressure and magnitude of the magnetic field in the loop is obtained. The current value inside the loop can become of the order of or below the critical value as a result of a flare process accompanied by the injection of chromospheric plasma and an increase in gas pressure inside the loop. This can lead to a violation of the loop equilibrium, in particular, to a change in the height and excitation of loop oscillations, which is illustrated by the existing observational data.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"241 - 248"},"PeriodicalIF":0.7,"publicationDate":"2026-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. N. Ponomarchuk, N. A. Zolotukhina, V. I. Kurkin
{"title":"Peculiarities of the HF Signal Mode Structure on Mid-Latitude Radio Paths During Geomagnetic Storms in November–December 2023","authors":"S. N. Ponomarchuk, N. A. Zolotukhina, V. I. Kurkin","doi":"10.1007/s11141-026-10457-z","DOIUrl":"10.1007/s11141-026-10457-z","url":null,"abstract":"<p>Geomagnetic storms are followed by ionospheric disturbances of various kinds (ionospheric storms) that change the conditions of HF propagation. Radio wave propagation is most significantly affected by the spatial location of large-scale structures such as the main ionospheric trough and the zone of diffuse electron precipitation. During magnetic storms, they shift to lower latitudes, causing strong variations in the maximum observed frequencies (MOFs) of radio wave propagation on mid-latitude paths, deviation of signal propagation trajectories from the great-circle arc, and the occurrence of anomalous diffuse signals with delays exceeding those of the regular propagation modes, as well as the absence of radio wave transmission. From the analysis of oblique ionospheric sounding with a continuous chirp signal on the Magadan–Irkutsk and Norilsk–Irkutsk paths, we studied the peculiarities of the HF signal mode structure during strong and moderate magnetic storms in November–December 2023. Relation between MOF variations and positions of the main ionospheric trough and the equatorial boundary of the diffuse electron precipitation zone relative to the propagation path was revealed.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"68 4","pages":"270 - 285"},"PeriodicalIF":0.7,"publicationDate":"2026-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}