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Dynamics of a rarefied plasma in a magnetic field

Abstract

The nature of the motion and properties of high temperature plasma in a magnetic field is of particular interest for the problem of producing controlled thermonuclear reactions. The most general theoretical approach to such problems lies in the description of the plasma by the Boltzmann and Maxwell equations that connect the self-consistent electric and magnetic fields with the ion and electron distribution functions. The exact equations for the motion of plasma in an electromagnetic field can only be solved in certain simple cases especially because the fields are influenced by the collective motion of all the particles. For a certain class of problems it is possible to work out a procedure for decreasing the number of variables and thus simplify the characteristic equations. In this work the following cases are considered and equations derived: equations for the macroscopic motion of the plasma; hydrodynamics of a low pressure plasma; instability of plasma in a magnetic field with an anisotropic ion velocity distribution; stability of a pinched cylindrical plasma using the kinetic equation; non-linear one-dimensional motion of a rarefied plasma.
Publication Date:
Jul 01, 1958
Product Type:
Conference
Report Number:
INIS-XU-021; P-2214-USSR
Resource Relation:
Conference: 2. United Nations international conference on the peaceful uses of atomic energy, Geneva (Switzerland), 1-13 Sep 1958; Other Information: Translated from Russian; 8 refs; TN:; Related Information: In: Proceedings of the second United Nations international conference on the peaceful uses of atomic energy. V. 31. Theoretical and experimental aspects of controlled nuclear fusion, 400 pages.
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; CYLINDRICAL CONFIGURATION; DISTRIBUTION; DISTRIBUTION FUNCTIONS; ELECTROMAGNETIC FIELDS; ELECTRONS; HOT PLASMA; HYDRODYNAMICS; IONS; KINETIC EQUATIONS; MAGNETIC FIELDS; MAXWELL EQUATIONS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PARTICLES; PLASMA INSTABILITY; STABILITY; THERMONUCLEAR REACTIONS; VELOCITY
OSTI ID:
21068311
Research Organizations:
United Nations, Geneva (Switzerland)
Country of Origin:
UN
Language:
English
Other Identifying Numbers:
TRN: XU0800021082403
Availability:
Available from INIS in electronic form
Submitting Site:
INIS
Size:
page(s) 151-156
Announcement Date:
Sep 13, 2008

Citation Formats

Sagdeyev, R S, Kadomtsev, B B, Rudakov, L I, and Vedyonov, A A. Dynamics of a rarefied plasma in a magnetic field. UN: N. p., 1958. Web.
Sagdeyev, R S, Kadomtsev, B B, Rudakov, L I, & Vedyonov, A A. Dynamics of a rarefied plasma in a magnetic field. UN.
Sagdeyev, R S, Kadomtsev, B B, Rudakov, L I, and Vedyonov, A A. 1958. "Dynamics of a rarefied plasma in a magnetic field." UN.
@misc{etde_21068311,
title = {Dynamics of a rarefied plasma in a magnetic field}
author = {Sagdeyev, R S, Kadomtsev, B B, Rudakov, L I, and Vedyonov, A A}
abstractNote = {The nature of the motion and properties of high temperature plasma in a magnetic field is of particular interest for the problem of producing controlled thermonuclear reactions. The most general theoretical approach to such problems lies in the description of the plasma by the Boltzmann and Maxwell equations that connect the self-consistent electric and magnetic fields with the ion and electron distribution functions. The exact equations for the motion of plasma in an electromagnetic field can only be solved in certain simple cases especially because the fields are influenced by the collective motion of all the particles. For a certain class of problems it is possible to work out a procedure for decreasing the number of variables and thus simplify the characteristic equations. In this work the following cases are considered and equations derived: equations for the macroscopic motion of the plasma; hydrodynamics of a low pressure plasma; instability of plasma in a magnetic field with an anisotropic ion velocity distribution; stability of a pinched cylindrical plasma using the kinetic equation; non-linear one-dimensional motion of a rarefied plasma.}
place = {UN}
year = {1958}
month = {Jul}
}