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Stability of plasma in static equilibrium

Conference:

Abstract

Our purpose is to derive from the Boltzmann equation in the small m/e limit, criteria useful in the discussion of stability of plasmas in static equilibrium. At first we ignore collisions but later show their effects may be taken into account. Our approach yields a generalization of the usual energy principles for investigating the stability of hydromagnetic systems to situations where the effect of heat flow along magnetic lines is not negligible, and hence to situations where the strictly hydrodynamic approach is inapplicable. In the first two sections we characterize our general method of approach and delineate the properties of the small m/e limit which we use to determine the constants of the motion and the condition for static equilibrium. In the next two sections we calculate the first and second variations of the energy and conclude with a statement of the general stability criterion. In the final three sections we state several theorems which relate our stability criterion to those of ordinary hydromagnetic theory, we show how to take into account the effect of collisions, and briefly discuss the remaining problem of incorporating the charge neutrality condition into the present stability theory. (author)
Authors:
Krusiial, M D; Oberman, N R [1] 
  1. Project Matterhorn, Princeton University, Princeton, NJ (United States)
Publication Date:
Jul 01, 1958
Product Type:
Conference
Report Number:
INIS-XU-021; P-365-USA
Resource Relation:
Conference: 2. United Nations international conference on the peaceful uses of atomic energy, Geneva (Switzerland), 1-13 Sep 1958; Other Information: 8 refs; 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; BOLTZMANN EQUATION; COLLISIONS; EQUILIBRIUM; HEAT FLUX; PLASMA; STABILITY; VARIATIONS; YIELDS
OSTI ID:
21068309
Research Organizations:
United Nations, Geneva (Switzerland)
Country of Origin:
UN
Language:
English
Other Identifying Numbers:
TRN: XU0800019082401
Availability:
Available from INIS in electronic form
Submitting Site:
INIS
Size:
page(s) 137-143
Announcement Date:
Sep 15, 2008

Conference:

Citation Formats

Krusiial, M D, and Oberman, N R. Stability of plasma in static equilibrium. UN: N. p., 1958. Web.
Krusiial, M D, & Oberman, N R. Stability of plasma in static equilibrium. UN.
Krusiial, M D, and Oberman, N R. 1958. "Stability of plasma in static equilibrium." UN.
@misc{etde_21068309,
title = {Stability of plasma in static equilibrium}
author = {Krusiial, M D, and Oberman, N R}
abstractNote = {Our purpose is to derive from the Boltzmann equation in the small m/e limit, criteria useful in the discussion of stability of plasmas in static equilibrium. At first we ignore collisions but later show their effects may be taken into account. Our approach yields a generalization of the usual energy principles for investigating the stability of hydromagnetic systems to situations where the effect of heat flow along magnetic lines is not negligible, and hence to situations where the strictly hydrodynamic approach is inapplicable. In the first two sections we characterize our general method of approach and delineate the properties of the small m/e limit which we use to determine the constants of the motion and the condition for static equilibrium. In the next two sections we calculate the first and second variations of the energy and conclude with a statement of the general stability criterion. In the final three sections we state several theorems which relate our stability criterion to those of ordinary hydromagnetic theory, we show how to take into account the effect of collisions, and briefly discuss the remaining problem of incorporating the charge neutrality condition into the present stability theory. (author)}
place = {UN}
year = {1958}
month = {Jul}
}