Equilibrium State of Inhomogeneous Plasma

We consider the problem of a self-consistent determination of an essentially inhomogeneous equilibrium state of classical plasma. The solutions of the stationary Vlasov–Poisson equations are constructed in the form of a localized transition layer that separates the domains of homogeneous plasmas with different equilibrium parameters. The layer can also transform into a local perturbation inside a homogeneous plasma. In both cases, the solution contains neither mass currents nor electric currents, and all electrodynamic and hydrodynamic quantities and their derivatives are continuous. The parameters of the adjacent domains uniquely determine the transition layer structure.     

Obtaining strong magnetic fields with magnetocumulative generators based on a porous material

Journal of Applied Mechanics and Technical Physics -     

Nonlinear scattering of longitudinal waves in a weakly turbulent relativistic plasma

Nonlinear scattering of Langmuir waves of small amplitude in an isotropic relativistic Maxwellian plasma is investigated. The coefficient of nonlinear scattering of waves in a relativistic plasma is calculated, and the weak relativistic and ultrarelativistic asymptotes of the expression obtained for this coefficient in the long-wave approximation are also found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 53–56, February, 1982.     

Localization of the spectrum of oscillations of a viscous capillary fluid

Translated from Matematicheskie Zametki, Vol. 47, No. 5, pp. 116–126, May, 1990.     

Nonlinear Langmuir waves in a relativisitc plasma

Langmuir waves in a relativistic plasma are considered using kinetic equations without consideration of captured particles. The frequency shift found for such waves contains contributions from four-wave interaction, and a contribution produced by the relativistic dependence of electron momentum on velocity.     

An electromagnet with Hall excitation

In 1911 Corbino showed that if a disk with a current flowing to the axis is placed in a magnetic field parallel to the axis of the disk, then due to the Hall emf the initially straight line of electric current is turned into a spiral. This leads to an increase in the length of the current line and thus to an increase in the disk resistance. The change in the disk resistance in a magnetic field was used in [1] to switch the current in the circuit of an inductive energy store. If the electric current carriers move from the edge of the disk to the axis, the azimuthal Hall current is accompanied by an increase in the magnetic field inside the disk compared with that outside it [2]. The same processes occur in a hydromagnet [3–5], in which the radial flow of a conducting liquid in an axial magnetic field is used to amplify a magnetic field. In the papers mentioned earlier the transients which occur when the steady magnetic field is established were not considered. To produce a magnetic field, and particularly for switching, the switch-on time of the device is of considerable importance. Hence, in this paper we consider the nonstationary problem of the amplification of a magnetic field. The amplification of the field is obtained and the time taken for the stationary state to build up is found. Both quantities depend exponentially on the magnetic Reynolds number. For a hydromagnet it is shown that the steady-state magnetic field differs considerably from that obtained in [4, 5]. The disagreement between the results is due to the fact that the boundary conditions in [4, 5] were arbitrarily chosen.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 44–48, May–June, 1979.The author thanks E. I. Bichenkov and R. L. Rabinovich for useful discussions and advice.