Charged particle energy transfer for parallel and concentric cylindrical nanotubes.
Item
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Title
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Charged particle energy transfer for parallel and concentric cylindrical nanotubes.
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Identifier
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AAI3232039
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identifier
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3232039
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Creator
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Balassis, Antonios.
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Contributor
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Adviser: Godfrey Gumbs
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Date
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2006
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Condensed Matter
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Abstract
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This dissertation is mainly concerned with three topics: (1) the separation of the particle-hole and plasmon excitation contributions to the energy transfer when a moving charged particle interacts with a cylindrical nanotube; (2) the demonstration of a plasmon instability for a multi-wall nanotube or a pair of parallel nanotubes; and (3) the image potential for multi-wall nanotubes. We consider nanotubes embedded in a dielectric material. The electrons on a single cylindrical nanotube form a free electron gas confined to the surface of an infinitely long cylinder. We employ self-consistent field theory given in terms of Laplace's equation along with the linear response formalism to calculate the collective plasma excitations on a single-wall nanotube. We obtain their frequency-dependence on the linear wave vector along the axis of the nanotube. The plasma dispersion relation is calculated for intrasubband and intersubband transitions, where each subband is labeled by an angular momentum quantum number. We generalize our formalism to coaxial and parallel tubules. In addition we determine the way in which the collective modes are affected by the electrostatic interaction between the tubules. Making use of these results, we calculate the rate of transfer of energy between the plasma modes and charged particle moving parallel to the axis of the tubule. The frictional force due to the electrostatic interaction of the charged particle with the electrons on the surface of the nanotube is calculated using the inverse dielectric function. The energy loss of the charged particle to single particle and plasmon excitations is calculated. We demonstrate that the plasmon excitations for coaxial and parallel tubules may become unstable and radiate energy. The velocities of the charged particle for which the instabilities occur are identified by examining the plasmon dispersion relating and matching where the phase velocity of a plasmon excitation equals the velocity of the impinging particle. We calculate the image potential for a single-wall and a double-wall nanotube. This image potential has bound states which depend on the angular momentum quantum number around the axis of the tubule. We examine the way in which these bound states can be influenced when there are two coaxial tubules.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
