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Title: Finite. beta. and nonlocal calculation of collisionless and dissipative drift instabilities

Abstract

Collisionless and dissipative drift waves, driven by gradients in the plasma density and/or temperatures, are believed to dominate or at least influence the transport properties of a variety of plasma confinement devices. In a study begun in reference to transport in the Field Reversed Configuration (FRC), we have developed a theory of these waves in a high {beta} plasma, including the effect of perturbed flow in the direction of the plasma density. This study was a natural extension of previous calculations; the {beta} = 1 nature of the FRC makes a proper treatment of high {beta} effects vital to an understanding of that device. In the course of this study we have obtained a comprehensive dispersion relation which shows clearly how the numerical dissipative drift wave instabilities evolve in wavenumber as {beta} increases. A major finding from this is that the effect of finite {beta} begins to dominate long before {beta} {yields} 1; the expansion parameter is {beta}f(k, a{sub i}, K, {omega}, L{sub n}) where f can be substantially greater than 1, depending on the wavenumber of the wave parallel to the magnetic field (K), the wavenumber parallel to the particle drifts (k), the wave frequency ({omega}), the strength ofmore » the density gradient (L{sub n}), and the ion gyroradius (a{sub i}). The fact that finite {beta} effects can onset for quite small {beta} make this study applicable to confinement schemes such as tokamak in which {beta} {approximately} 1--10% in addition to the natural application to the FRC. A second surprising fact from the study was that including finite {beta} could result in a compressional flow in the direction of the density gradient, and also a perturbed electric field in that direction, which changes the perturbed orbits.« less

Authors:
Publication Date:
Research Org.:
Krall Associates, Del Mar, CA (United States)
Sponsoring Org.:
USDOE; USDOE, Washington, DC (United States)
OSTI Identifier:
5125639
Report Number(s):
DOE/ER/53280-T3; KA-91-08
ON: DE92001928
DOE Contract Number:  
FG03-88ER53280
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA WAVES; DRIFT INSTABILITY; REVERSED-FIELD MIRRORS; CHARGED-PARTICLE TRANSPORT; BOLTZMANN-VLASOV EQUATION; COLLISIONLESS PLASMA; HIGH-BETA PLASMA; PLASMA DENSITY; PRESSURE GRADIENTS; PROGRESS REPORT; DIFFERENTIAL EQUATIONS; DOCUMENT TYPES; EQUATIONS; INSTABILITY; MAGNETIC MIRRORS; OPEN PLASMA DEVICES; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; PLASMA INSTABILITY; PLASMA MICROINSTABILITIES; RADIATION TRANSPORT; THERMONUCLEAR DEVICES; 700107* - Fusion Energy- Plasma Research- Instabilities; 700108 - Fusion Energy- Plasma Research- Wave Phenomena; 700103 - Fusion Energy- Plasma Research- Kinetics

Citation Formats

Krall, N A. Finite. beta. and nonlocal calculation of collisionless and dissipative drift instabilities. United States: N. p., 1991. Web. doi:10.2172/5125639.
Krall, N A. Finite. beta. and nonlocal calculation of collisionless and dissipative drift instabilities. United States. https://doi.org/10.2172/5125639
Krall, N A. Mon . "Finite. beta. and nonlocal calculation of collisionless and dissipative drift instabilities". United States. https://doi.org/10.2172/5125639. https://www.osti.gov/servlets/purl/5125639.
@article{osti_5125639,
title = {Finite. beta. and nonlocal calculation of collisionless and dissipative drift instabilities},
author = {Krall, N A},
abstractNote = {Collisionless and dissipative drift waves, driven by gradients in the plasma density and/or temperatures, are believed to dominate or at least influence the transport properties of a variety of plasma confinement devices. In a study begun in reference to transport in the Field Reversed Configuration (FRC), we have developed a theory of these waves in a high {beta} plasma, including the effect of perturbed flow in the direction of the plasma density. This study was a natural extension of previous calculations; the {beta} = 1 nature of the FRC makes a proper treatment of high {beta} effects vital to an understanding of that device. In the course of this study we have obtained a comprehensive dispersion relation which shows clearly how the numerical dissipative drift wave instabilities evolve in wavenumber as {beta} increases. A major finding from this is that the effect of finite {beta} begins to dominate long before {beta} {yields} 1; the expansion parameter is {beta}f(k, a{sub i}, K, {omega}, L{sub n}) where f can be substantially greater than 1, depending on the wavenumber of the wave parallel to the magnetic field (K), the wavenumber parallel to the particle drifts (k), the wave frequency ({omega}), the strength of the density gradient (L{sub n}), and the ion gyroradius (a{sub i}). The fact that finite {beta} effects can onset for quite small {beta} make this study applicable to confinement schemes such as tokamak in which {beta} {approximately} 1--10% in addition to the natural application to the FRC. A second surprising fact from the study was that including finite {beta} could result in a compressional flow in the direction of the density gradient, and also a perturbed electric field in that direction, which changes the perturbed orbits.},
doi = {10.2172/5125639},
url = {https://www.osti.gov/biblio/5125639}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1991},
month = {4}
}