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<div class="csl-entry">Miljanović, V. (2005). <i>On two models for charged particle systems: the cometary flow equation and the Shockley-Read-Hall model</i> [Dissertation, Technische Universität Wien]. reposiTUm. https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-21171</div>
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In this work we are considering two models of charged particles; first model is a kinetic transport model which describes wave-particle interaction in cometary flows, and the second model describes the flow of electrons and holes through the trapped state. In Chapter 1 we are investigating the Cometary flow equation:<br />\partial_t f+v abla_x f=Q(f)=P(f)-f The particle distribution function f(t,x,v) is a nonnegative function, which depends on time, space and on velocity. We denote with Q(f) the collision operator, with a nonlinear projection operator P onto the set of distribution functions isotropic around the mean velocity u (S {d-1} is the unit sphere of R d).<br />The set of equilibrium distributions satisfying Q(f)=0 is infinite dimensional, and consists of all velocity distributions isotropic around an arbitrary mean velocity. There are infinitely many collision invariants, but out of those only three produce macroscopic conservation laws. As a consequence, we restrict our attention on the linearized version of the cometary flow equation, and for this flow equation we apply the entropy-entropy dissipation approach developed by Desvillettes and Villani.<br />In Chapter 2 we are considering a model which describes the statistics of recombination and generation of holes and electrons in semiconductors occuring through the mechanism of trapping. We prove existence of solutions, and rigorously justify the quasistationary limit for both drift diffusion and the kinetic SRH model.
de
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Geladenes Teilchen
de
dc.subject
Komet
de
dc.subject
Transportgleichung
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dc.subject
Halbleiter
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dc.subject
Elektron
de
dc.subject
Defektelektron
de
dc.subject
Modell
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dc.title
On two models for charged particle systems: the cometary flow equation and the Shockley-Read-Hall model
en
dc.title.alternative
Parallelt. [Übers. des Autors]: On two models for charged particle systems: The Cometary Flow Equation and the Shockley-Read-Hall Model
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Vera Miljanović
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing