On disturbances in an inhomogeneous viscoelastic bar of Reiss type in a magnetic field

Summary This paper deals with the study of the disturbances in an inhomogeneous semi-infinite viscoelastic bar of Reiss type acted upon by an impulsive force at its finite end, under the influence of a primary static magnetic field.     

Formation of electron beams by the interaction of a whistler wave packet with radiation belt electrons

The purpose of this paper is to discuss the properties of electron beams formed by cyclotron interactions between radiation belt electrons and a quasi-monochromatic whistler wave packet from a ground-based VLF transmitter. The beams are formed due to trapping of the electrons at the forward edge of the wave packet, their acceleration inside the wave packet, the escape of the accelerated electrons from the moving backward edge of the wave packet, and their following free motion in an inhomogeneous magnetic field. A combination of these processes provides the main features of the spatial-temporal evolution of the beams which are investigated both analytically and numerically. It is shown that one or two beams can appear at one point at the same time, and that the density of the beams increases during their expansion. Motion of the pumping wave packet in the inhomogeneous magnetic field provides the variations of the initial velocity and position of the beam injection which change the spatial and temporal gradients of the parallel velocity of the beam, in contrast with the case of the pure adiabatic motion of an individual electron. Such a behaviour can be significant for the generation of secondary emissions. Numerical calculations demonstrate a wide variety of the spatio–temporal patterns of the beam parallel velocity depending on the plasma and wave packet parameters. It is shown that the most significant parameters which determine the beam characteristics are the wave packet length about the equator, its group velocity, and the initial energy and pitch angle of the electrons.     

Proton interaction with quasi-electrostatic whistler mode waves in an inhomogeneous plasma (magnetosphere)

We study the interaction between energetic protons of the Earth’s radiation belts and quasi-electrostatic whistler mode waves. The nature of these waves is well known: whistler waves, which are excited in the magnetosphere due to cyclotron instability, enter the resonant regime of propagation and become quasielectrostatic, while their amplitude significantly increases. Far enough from the equator where proton gyrofrequency and transversal velocity increase the nonlinear interaction between these waves and energetic protons becomes possible. We show that plasma inhomogeneity may destroy cyclotron resonance between wave and proton on the time scale of the order of particle gyroperiod which in fact means the absence of cyclotron resonance; nevertheless, the interaction between waves and energetic particles remains nonlinear. In this case, particle dynamics in the phase space has the character of diffusion; however, the diffusion coefficients are determined by the averaged amplitude of the wave field, but not by its resonant harmonics. For real parameters of the waves and magnetospheric plasma, proton pitch-angle diffusion leading to their precipitation from the magnetosphere becomes essential.     

On the wave propagation in inhomogeneous non-isotropic media

Summary FollowingEason, we have discussed here the propagation of elastic waves in non-homogeneous spheres and cylinders when the curved surface is given a uniform normal loading. The material is assumed to be transversely isotropic with respect to a direction of symmetry, the stress and displacement components within the body may be assumed to depend on one space co-ordinate and time alone. The particular case in which the elastic parameters are proportional to (radius) ⁿ has been considered.     

Hydroacoustic wave in the external alternating magnetic field

The electromagnetic fields induced by hydroacoustic waves, propagating in a liquid conducting medium in an alternating magnetic field, have been considered. The equation, relating the induced magnetic field to the undisturbed antenna field and acoustic wave parameters, has been obtained. The spatial—temporal pattern of the induced field has been constructed in the case when acoustic wave propagates along a direct line with an alternating current.     

Infrasonic wave magnetic field in the oceanic waveguide

The magnetic field generated by an acoustic wave, propagating in the oceanic wave guide, has been considered. It has been indicated that the induced field is most substantial at frequencies when only the first normal mode exists. The dependences of the induced field component on the depth, frequency, and direction of the geomagnetic field have been obtained in this frequency band. The possibility of determining coordinates of a strong underwater earthquake using the acoustic field magnetic field has been considered.     

Electrostatic radiation of plasma in the upper ionosphere in the inhomogeneous geomagnetic field

It has been indicated that the spectrum of electrostatic waves in the ionospheric plasma depends on the geophysical conditions and solar wind parameters. The wave field measurements in the frequency band 0.1–10 MHz in the topside ionosphere were used to analyze the electrostatic instabilities of the plasma electron content (the APEX satellite experiment). A change of the sign of one magnetic field component at the geomagnetic equator can result in the formation of the large-scale irregular plasma structure with a decay of the natural electrostatic oscillations and vortices in unstable plasma. The plasma particle polarization drift from the region of decay of electrostatic oscillations and vortices can cause large plasma density and temperature gradients across the geomagnetic field. New vortices can originate at these gradients. This mechanism of plasma vortex formation and decay can be important for mass and energy convection in the topside ionosphere.     

Parametric effects in inhomogeneous plasma during injection of electron pulses into the ionosphere

The injection of electron pulses from the rocket into the ionospheric plasma in the lower hemisphere relative to the initial pitch angles of electrons during the substorm recovery phase provoked the generation of parametric processes (the ARAKS experiment). The electron flux observations, obtained using a wide-angle detector, and the whistler wave emission intensity measurements were compared. A wide-angle detector of electrons was mounted on the rocket, and a broadband wave receiver was installed on a nasal cone separated from the rocket. Bursts of the electron flux and wave emission were observed in pauses between electron pulses. It has been indicated that a clearly defined anisotropy of the observed parametric effects of the pitch angle of injected electron pulses is related to resonance characteristics of a wave emitted by electron fluxes in a magnetized plasma. Precipitation of ring current electrons was caused by a change in the magnetic moment of electrons, trapped by the magnetosphere, in the region of magnetic mirror points in the fields of electrostatic oscillations excited during decay of whistlers.     

Auroral electrojet dynamics during magnetic storms, connection with plasma precipitation and large-scale structure of the magnetospheric magnetic field

Effect of the equatorward shift of the eastward and westward electrojets during magnetic storms main phase is analyzed based on the meridional chains of magnetic observatories EISCAT and IMAGE and several Russian observatories (geomagnetic longitude ≈110°, corrected geomagnetic latitudes 74°>φ>51°.) Magnetic storms of various Dst index intensity where the main phase falls on 1000 UT - 2400 UT interval were selected so that one of the observatory chains was located in the afternoon - near midnight sector of MLT. The eastward electrojet center shifts equatorward with Dst intensity increase: when Dst ≈ −50 nT the electrojet center is located at φ ≈ 62°, when Dst ≈ −300 nT it is placed at φ ≈ 54°. The westward electrojet center during magnetic storms main phase for intervals between substorms shifts equatorward with Dst increase: at φ ≈ 62° when Dst ≈ −100 nT and at φ ≈ 55° when Dst ≈ −300 nT. During substorms within the magnetic storms intervals the westward electrojet widens poleward covering latitudes φ ≈ 64°–65°. DMSP (F08, F10 and F11) satellite observations of auroral energy plasma precipitations at upper atmosphere altitudes were used to determine precipitation region structure and location of boundaries of various plasma domains during magnetic storms on May 10–11, 1992, February 5–7 and February 21–22, 1994. Interrelationships between center location, poleward and equatorward boundaries of electrojets and characteristic plasma regions are discussed. The electrojet center, poleward and equatorward boundaries along the magnetic observatories meridional chain were mapped to the magnetosphere using the geomagnetic field paraboloid model. The location of auroral energy oxygen ion regions in the night and evening magnetosphere is determined. Considerations are presented on the mechanism causing the appearance in the inner magnetosphere during active intervals of magnetic storms of ions with energy of tens KeV. In the framework of the magnetospheric magnetic field paraboloid model the influence of the ring current and magnetospheric tail plasma sheet currents on large-scale magnetosphere structure is considered.     

On the wave field generated by a variable wind

Abstract

By using an empirical expression relating the rate of increase in wave energy to the local wind speed, an equation for the phase speed at the peak of the wave spectrum is derived. The solution of the equation is determined for some simple wind fields. In particular, the wave field caused by a localised storm moving steadily over an unbounded ocean is considered. It is also shown that only a small fraction of the momentum transferred from the wind into the water propagates away from a local storm area in the form of wave momentum.     

套管中环向传播的准SH波的衰减特征

套管井中的准SH波测井可有效解决声阻抗类声波仪器在低密度水泥胶结评价上的不适应性.本文结合解析计算、三维数值仿真和实验测量研究了套管中环向传播的准SH波的衰减特征.数值仿真和实验测量结果均表明准SH波的衰减主要由波传播过程中的几何扩散和向套管后胶结的固体水泥泄漏能量引起的;解析计算显示在0~300 kHz的测井频段随着频率的增加零阶准SH波的泄漏衰减逐渐增大、一阶准SH波的泄漏衰减逐渐减小,在现有油气井使用的水泥阻抗范围内,准SH波的衰减与水泥阻抗成正比.数值仿真和实验测量的零阶准SH波的衰减与解析计算结果吻合,一阶准SH波的衰减稍高于解析计算结果.另外在实验测量过程中记录了水泥从浇筑到逐渐凝固过程中准SH波测井的全波波形,可清晰观测到直达的准SH波在水泥未凝固前（仍是流体）幅度较强,随着水泥逐渐凝固强度增大准SH波的泄漏衰减逐渐增加,泄漏到水泥环中的能量越来越强,来自水泥外界面的反射波幅度逐渐增加且到时逐渐提前.通过理论计算和实验测量套管井SH横波的衰减特征,为现场应用SH横波测井评价套管井水泥胶结质量奠定基础.

     

Modeling of nonstationary electron precipitation by the whistler cyclotron instability

We study a simple self-consistent model of a whistler cyclotron maser derived from the full set of quasi-linear equations. We employ numerical calculations to demonstrate dependencies of pulsation regimes of whistler-mode wave interactions with energetic electrons on plasma parameters. Possible temporal evolution of those regimes in real conditions is discussed; calculations are compared with case-study experimental data on energetic electron precipitation pulsations. A reasonable agreement of the model results and the observations has been found.     

On the random motion of a uniform beam in a magnetic field

Summary The present note is concerned with the investigation of responses under random processes of a beam-plate placed in a magnetic field which is transverse in nature. The distinctive features of the motion have been pointed out.     

Nonlinear dynamics of 3D beams of fast magnetosonic waves propagating in the ionospheric and magnetospheric plasma

On the basis of the model of the three-dimensional (3D) generalized Kadomtsev-Petviashvili equation for magnetic field h = B _~/B the formation, stability, and dynamics of 3D soliton-like structures, such as the beams of fast magnetosonic (FMS) waves generated in ionospheric and magnetospheric plasma at a low-frequency branch of oscillations when β = 4πnT/B ² ? 1 and β > 1, are studied. The study takes into account the highest dispersion correction determined by values of the plasma parameters and the angle θ = (B, k), which plays a key role in the FMS beam propagation at those angles to the magnetic field that are close to π/2. The stability of multidimensional solutions is studied by an investigation of the Hamiltonian boundness under its deformations on the basis of solving of the corresponding variational problem. The evolution and dynamics of the 3D FMS wave beam are studied by the numerical integration of equations with the use of specially developed methods. The results can be interpreted in terms of the self-focusing phenomenon, as the formation of a stationary beam and the scattering and self-focusing of the solitary beam of FMS waves. These cases were studied with a detailed investigation of all evolutionary stages of the 3D FMS wave beams in the ionospheric and magnetospheric plasma.     

层结海洋中小振幅内行进波的演变和破碎

采用高精度的拟谱方法,数值模拟了层结海洋中小振幅内行进波的演变和破碎过程.在演变过程中,导致内波破碎的PSI不稳定机制在共振相互作用中逐渐占据主导地位,能量从初级波向低频、高波数运动缓慢传递并形成一次级波包,随即破碎发生.破碎后产生的层化湍流引起的强烈混合以及湍流间歇性可从总能量和涡度峰度随时间的变化趋势看出.我们分析了层化湍流的一些统计特性,包括动能和有效位能沿垂向波数ky的功率谱.结果表明,动能和有效位能谱都存在一个谱段满足k-3y律,且分别可表示为0.1N4k-3y和0.2N4k-3y(N为Brunt-Visl频率),通常称其为浮力子区.另外,我们分析了Cox数(湍流扩散系数与分子扩散系数之比),在层化湍流维持在一定强度时,计算结果和由海洋内区观测(远离内波强生成源和复杂地形)所推测的结论较为吻合.     

On the vibrations of a composite orthotropic cylinder placed in a magnetic field

Summary The problems of radial vibration of a composite orthotropic cylinder subjected to a uniform axial magnetic field forms the chief interest of the paper.     

On the propagation of a reflected radiative shock in a transverse magnetic field

Summary The paper considers a shock wave to be reflected from a wall in the presence of a transverse magnetic field when the radiation pressure and radiation energy are taken into account. It has been shown that under certain physical conditions, the velocity of the reflected radiative shock would be greater than the corresponding velocity when the magnetic field and radiation effects are neglected.     

On disturbances in a semi-infinite visco-elastic rod in a magnetic field

Summary The paper makes use of electromagnetic equations of Maxwell, the equations of mechanical motion together with stress and strain relation of a particular visco-elastic material, to determine the disturbances in it when excited by a magnetic field.