Theoretical investigation of flute modes in a magnetic quadrupole
Abstract
This research developed theories and conducted numerical investigations of electrostatic flute modes in a plasma confined in a magnetic quadrupole. Chapter I presents the discussion of relevant background. Chapter II contains a brief discussion of the basic flutemode operator L{sub 0} for intermediate and lowfrequency regimes. Chapter III develops a simple theory for a flute mode with frequency between the electron and ion bounce frequencies in the uniform density and temperature regions of a magnetic quadrupole. The frequency is predicted to be inversely proportional to the wave number. Chapter IV describes the kinetic approach. Chapter V contains the derivation of an eigenvalue equation for electrostatic waves with frequencies below the ion frequency in the private flux region of a magnetic quadrupole. Chapter VI develops a theory for electrostatic waves with frequency below the ion bounce frequency in the shared flux region of a magnetic quadrupole. Chapter VII contains the derivation of a dispersion equation for flute modes with frequencies between the electron and ion bounce frequencies in a plasma confined to a magnetic quadrupole. Chapter VIII presents a summary of the research described.
 Authors:
 Publication Date:
 Research Org.:
 Missouri Univ., Columbia, MO (USA)
 OSTI Identifier:
 5174801
 Resource Type:
 Thesis/Dissertation
 Resource Relation:
 Other Information: Thesis (Ph. D.)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; FLUTE INSTABILITY; OSCILLATION MODES; PLASMA CONFINEMENT; QUADRUPOLAR CONFIGURATIONS; DISPERSION RELATIONS; KINETICS; PLASMA WAVES; CLOSED CONFIGURATIONS; CONFINEMENT; INSTABILITY; MAGNETIC FIELD CONFIGURATIONS; MULTIPOLAR CONFIGURATIONS; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; 700107*  Fusion Energy Plasma Research Instabilities; 700103  Fusion Energy Plasma Research Kinetics
Citation Formats
Wu, H.S. Theoretical investigation of flute modes in a magnetic quadrupole. United States: N. p., 1988.
Web.
Wu, H.S. Theoretical investigation of flute modes in a magnetic quadrupole. United States.
Wu, H.S. 1988.
"Theoretical investigation of flute modes in a magnetic quadrupole". United States.
doi:.
@article{osti_5174801,
title = {Theoretical investigation of flute modes in a magnetic quadrupole},
author = {Wu, H.S.},
abstractNote = {This research developed theories and conducted numerical investigations of electrostatic flute modes in a plasma confined in a magnetic quadrupole. Chapter I presents the discussion of relevant background. Chapter II contains a brief discussion of the basic flutemode operator L{sub 0} for intermediate and lowfrequency regimes. Chapter III develops a simple theory for a flute mode with frequency between the electron and ion bounce frequencies in the uniform density and temperature regions of a magnetic quadrupole. The frequency is predicted to be inversely proportional to the wave number. Chapter IV describes the kinetic approach. Chapter V contains the derivation of an eigenvalue equation for electrostatic waves with frequencies below the ion frequency in the private flux region of a magnetic quadrupole. Chapter VI develops a theory for electrostatic waves with frequency below the ion bounce frequency in the shared flux region of a magnetic quadrupole. Chapter VII contains the derivation of a dispersion equation for flute modes with frequencies between the electron and ion bounce frequencies in a plasma confined to a magnetic quadrupole. Chapter VIII presents a summary of the research described.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1988,
month = 1
}

The technique for calculating the excitation coefficient for a halfturn loop antenna in cylindrical and toroidal geometries filled with anisotropic, dissipative medium is presented. Mode orthogonality relations in a cavity are first developed for a dissipative medium and used to calculate the excitation coefficient in a toroidal cavity partially filled with plasma. With aid of the excitation coefficient, the antenna impedance and wall losses are also calculated in both a cylindrical waveguide and a toroidal cavity. A toroidal cavity with multiple antennas is considered as one way of dealing with mode resolvability problem for fusion plasmas. Even though the axialmore »

Theoretical Investigation of Dynamic Properties of Magnetic Molecule Systems as Probed by NMR and Pulsed Fields Experiments
The field of molecular magnetism[l6] has become a subject of intense theoretical and experimental interest and has rapidly evolved during the last years. This interdisciplinary field concerns magnetic systems at the molecular or "nanoscopic" level, whose realization has become feasible due to recent advances in the field of chemical synthesis. The present theoretical work provides a first step towards exploiting the possibilities that are offered by probing magnetic molecules using external magnetic fields with high sweep rates. These probes, apart for providing information specific to magnetic molecules, offer the possibility of conducting a detailed study of the relaxational behavior ofmore » 
Theoretical investigation of the exchange current effects on the magnetic form factor of /sup 3/He and /sup 3/H
The magnetic form factor of /sup 3/He and /sup 3/H is calculated for momentum transfer Q/sup 2/ < 30 fm/sup 2/. Calculations use a wavefunction obtained from the solution of the Faddeev equation with the Reid softcore potential. The effects of both singleparticle current (impulse approximation) and exchange currents (twoparticle current) for both ..pi..meson and rhomeson exchange are considered. Currents satisfy the continuity equation. Calculations are performed in the case of a point nucleon at the nucleonmeson vertex. Also the effect of the nucleon size at the nucleonmeson vertex is considered by introducing a strong interaction form factor which decreasesmore » 
Theoretical investigation of flute modes in a magnetic quadrupole
The objective of this research is to develop theories and conduct numerical investigations of electrostatic flute modes in a plasma confined in magnetic quadrupole. Chapter I presents the discussion of relevant background. Chapter II contains a brief discussion of the basic flutemode operator L{sub 0} for intermediate and low frequency regimes. Chapter III develops a simple theory for a flute mode with frequency between the electron and ion bounce frequencies in the uniform density and temperature regions of a magnetic quadrupole. Chapter IV describes the kinetic approach. Chapter V contains the derivation of an eigenvalue equation for electrostatic waves withmore » 
Decay modes of the isoscalar giant quadrupole resonance in /sup 58/Ni and the Zn isotopes
The particle decay of the isoscalar GQR has been studied in mediummass nuclei in order to obtain information relevant to the nuclear structure of the resonance and to understand the total width of the resonance observed in inelastic scattering spectra. Particleparticle coincidence measurements have been performed for the charged particle decay channels of the GQR excited in /sup 58/Ni via 140 MeV inelastic alpha particle scattering. The branching ratio was found to be 59 /sup + / 12% for proton decay and 12 /sup + / 4% for alpha particle decay. This corresponds to 30 /sup + / 6% andmore »