The hydrodynamic equations for a multicomponent classical system are derived taking dissipation processes into account, not on the basis of the kinetic equation but directly in terms of the Bogolyubov equations for the distribution function.
Show AbstractCertain properties of a crystal at absolute zero are derived theoretically from the self-consistent equation of quantum mechanics.
Show AbstractThe scattering of electromagnetic waves by plasma waves is considered from the point of view of Vlasov's set of nonlinear equations for anisotropic plasma in the case when the directions of propagation are the same. In the boundary value problem for a half-space an accumulative effect is found for the combination wave energy of the incident wave. Conditions are established under which an electromagnetic wave becomes space-modulated in an excited plasma, and the period of this modulation is obtained.
Show AbstractA study is made of the ion current in a discharge of the Penning type using a cooled cathode, with a collector consisting of concentric rings, mutually insulated, located in the space behind one of the cathodes, in the center of which there is a hole. The electron current passing through the cathode and incident on a Faraday cylinder placed beyond it is also investigated. Energy distribution curves are given for the ions and electrons in the discharge for different parameters.
Show AbstractThe potential of a point charge is calculated, with and without taking screening into account, for a thin semiconductor film the thickness of which is less than the De Broglie wavelength of free carriers.
Show AbstractAs a result of field studies, the effect of the stability of the water masses in fresh water reservoirs on the intensity of the vertical and longitudinal component fluctuations of the rate of flow, on the anisotropy of the flow fluctuation, and on the scale of turbulence is demonstrated. Satisfactory agre ent has been obtained between the calculated values of the quantity (ω´^2⃑)^{1/2} and direct measurements,
Show AbstractEquations are obtained for the (Green's functions. The kernel of Lenard's equation is evaluated in quadratures and its connection with the Landau kernel (used later)is pointed out. Successive approximations are used to find the form of the Green's function in E- and K-space, and the eigenfrequencies and damping of a system subject to spatial dispersion.
Show AbstractThe radiation of a relativistic rotator with spin orientation is investigated by quantum-theoretical methods and compared with synchronous radiation.
Show AbstractRoot criteria for the limiting stability of linear systems, some of the poles of the transmission functions of which lie on the imaginary axis, are discussed.
Show AbstractThe effect of radiation on the motion of relativistic electrons in constant and uniform magnetic and weak electrostatic fields is considered. Both the quantum and classical change in the trajectory is considered by a single method.
Show AbstractThe field energy-momentum tensor provides the basis foi an examination of the geometric structure of an electromagnetic field.
Show AbstractExact relationships are derived by the Gibbs' method for calculating the fluctuations and correlations of quantum systems. A fluctuation-dissipation theorem is obtained without using perturbation theory. The re sults are used to calculate the mean square displacement of Brownian motion.
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