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Dissertations / Theses on the topic 'Kinetic Theory'

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Published: 4 June 2021

Last updated: 26 July 2025

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1

Esposito, Massimiliano. "Kinetic theory for quantum nanosystems." Doctoral thesis, Universite Libre de Bruxelles, 2004. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211088.

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In this thesis, we investigate the emergence of kinetic processes in finite quantum systems. We first generalize the Redfield theory to describe the dynamics of a small quantum system weakly interacting with an environment of finite heat capacity. We then study in detail the spin-GORM model, a model made of a two-level system interacting with a random matrix environment. By doing this, we verify our new theory and find a critical size of the environment over which kinetic processes occur. We finally study the emergence of a diffusive transport process, on a finite tight-binding subsystem inter

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2

Sze, Pui King Ivy. "Conservation laws in recombination kinetic theory." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/26089.

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The hydrodynamic equations of change for a reacting gas mixture of monomers and dimers are studied. The gas is considered to be dilute and described by the kinetic theory of Lowry and Snider (J. Chem. Phys. 61, 2320 (1974)). From the kinetic equations for the density operators representing the monomer and dimer, the equations of change for one-molecule observables are obtained. Since the energy operator involves the intermolecular potential energy, it is necessary to derive the energy balance equation from the von Neumann equation, since this includes molecule-molecule correlations. As well,

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3

Valougeorgis, Dimitris V. "The Fn method in kinetic theory." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/49949.

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A complete formulation of the recently developed. F<sub>N</sub> method in kinetic theory is presented and the accuracy of this advanced semi-analytical-numerical technique is demonstrated by testing the method to several classical problems in rarefied gas dynamics. The method is based on the existing analysis for the vector transport equation arising from the decomposition of the linearized BGK equation. Using full-range orthogonality, a system of singular integral equations for the distribution functions at the boundaries is established. The unknown distribution functions are then approximat

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4

Windfäll, Åsa. "Some Problems in Kinetic Theory and Applications." Doctoral thesis, Karlstads universitet, Avdelningen för matematik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-8498.

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This thesis consists of four papers. the first is devoted to discrete velocity models, the second to hydrodynamic equation beyond Navier-Stokes level, the third to a multi-linear Maxwell model for economic or social dynamics and the fourth is devoted to a function related to the Riemann zeta-function. In Paper 1, we consider the general problem of construction and classification of normal, i.e. without spurious invariants, discrete velocity models (DVM) of the classical Boltzman equation. We explain in detail how this problem can be solved and present a complete classification of normal plane

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5

SAMUDRA, SAMEER D. "KINETIC THEORY APPROACH TO PLASMA HEAT TRANSFER." University of Cincinnati / OhioLINK, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin990028080.

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6

Lee, Koun-Ken. "Kinetic theory of strongly coupled electron-phonon systems." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.615952.

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7

Vardulakis, George. "Superconducting kinetic inductance detectors : theory, simulations & experiments." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613121.

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8

Zhang, Ziji. "Theoretical and computational study of coupling of soot, gas kinetics and radiation in diffusion flames using reduced mechanisms /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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9

Tronci, Cesare. "Geometric dynamics of Vlasov kinetic theory and its moments." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486660.

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The Vlasov equation of kinetic theory is introduced and the Hamiltonian structure of its moments is presented. Then we focus on the geodesic evolution of the Vlasov moments [1.2]. As a first step, these moment equations generalize the Camassa-Holm equation [3] to its multi-component version [4]. Subsequently, adding electrostatic forces to the geodesic moment equations relates them to the Benney equations [5] and to the equations for beam dynamics in particle accelerators. Next, we develop a kinetic theory for self assembly in nano-particles. The Darcy law [6] is introduced as a general princi

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10

Geist, Wolfgang. "Kinetic theory of evaporative cooling of trapped atomic gases." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/29394.

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11

Kim, Hyeon-Deuk. "Local nonequilibrium effects in kinetic theory : The Boltzmann equation." Kyoto University, 2004. http://hdl.handle.net/2433/64954.

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Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(人間・環境学)<br>甲第10956号<br>人博第243号<br>15||198(吉田南総合図書館)<br>新制||人||60(附属図書館)<br>UT51-2004-G803<br>京都大学大学院人間・環境学研究科人間・環境学専攻<br>(主査)教授冨田博之, 助教授早川尚男, 助教授阪上雅昭<br>学位規則第4条第1項該当

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12

Manzini, Chiara. "Quantum kinetic models of open quantumsystems in semiconductors theory." Doctoral thesis, Scuola Normale Superiore, 2005. http://hdl.handle.net/11384/85708.

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From the introduction: The aim of the developed research is to contribute to the analytical study of quantum kinetic models of certain quantum systems, whose dynamics is time-irreversible due to the interaction with the environment; accordingly, they are called open. In particular, the models under examination have a well-grounded application to the simulation of nanoscale semiconductor devices, thus semiconductor physics is the background of reference for our work. The models are formulated according to the Wigner-function formalism, a well-known tool in both the physical and the mathematical

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13

Strain, Robert Mills. "Some applications of an energy method in collisional kinetic theory /." View online version; access limited to Brown University users, 2005. http://wwwlib.umi.com/dissertations/fullcit/3174679.

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14

Imamovi´c-Tomasovi´c, Milena. "Kadanoff-Baym kinetic theory for a trapped Bose-condensed gas." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ63751.pdf.

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15

Dai, Rongqing. "Granular flow studies through kinetic theory and numerical simulation approaches." Thesis, McGill University, 1993. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=41566.

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The investigations of three different topics of granular flows are reported in this thesis. (i) Second order solutions for granular simple shear flows are derived in the framework of granular kinetic theory. Compared to the first order solutions and the inconsistent second order solutions, the second order solutions of the present study provide better predictions of the numerical simulation results. (ii) Granular shear flows within narrow gaps and unbounded fields are studied by a molecular dynamics type discrete element simulation method. The effects of inelasticity and mean solids fraction o

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16

Haran, Joshi C. "Kinetic theory approach for the determination of rate of evaporation." Thesis, University of Huddersfield, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430292.

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The problem of liquid evaporating/condensing from/to its surface is of importance in a wide variety of engineering applications. These can be classified into naturally occurring processes and those that came out of technological advancement. Of the naturally occurring processes the important problems are loss of water due to evaporation in dams, evaporation from moist material to dry it, condensation in droplets required for cloud formation etc. The processes which became important due to technological advancement are evaporation in freeze drying processes, evaporation and condensation require

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17

Gräns, Samuelsson Linnéa. "Conservation laws in kinetic theory for spin-1/2 particles." Thesis, Umeå universitet, Institutionen för fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-110967.

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In this thesis a kinetic theory for spin-1/2 particles is given a brief overview, focusing on the derivation of an evolution equation for the quasiprobability distribution function used in the theory to describe certain types of quantum plasma. The current theory is expanded upon by exploring conservation laws. A local conservation law for momentum is derived using two different expressions for electromagnetic momentum, given by Abraham and Minkowski respectively. There has been some controversy over which of these expressions should be used; in the case considered here the expression given by

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18

Al-Naseri, Haidar. "Quantum kinetic relativistic theory of linearized waves in magnetized plasmas." Thesis, Umeå universitet, Institutionen för fysik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-150292.

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In this work we have studied linear wave propagation in magnetized plasmas using a fully relativistic kinetic equation of spin-1/2 particles in the long scale approximation. The linearized kinetic equation is very long and complicated, hence we worked with restricted geometries in order to simplify the calculations. The dispersion relation of the relativistic model was calculated and compared with a dispersion relation from a previous work at the semi-relativistic limit. Moreover, a new mode was discovered that survives in the zero temperature limit. The origin of the mode in the kinetic equat

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19

Mulzet, Alfred Kenric. "Exponential Stability for a Diffusion Equation in Polymer Kinetic Theory." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30473.

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In this paper we present an exponential stability result for a diffusion equation arising from dumbbell models for polymer flow. Using the methods of semigroup theory, we show that the semigroup U(t) associated with the diffusion equation is well defined and that all solutions converge exponentially to an equilibrium solution. Both finitely and infinitely extensible dumbbell models are considered. The main tool in establishing stability is the proof of compactness of the semigroup.<br>Ph. D.

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20

Molloy, Charles T. Whitham G. B. "Contributions to the kinetic theory of traffic flow with queuing /." Diss., Pasadena, Calif. : California Institute of Technology, 1985. http://resolver.caltech.edu/CaltechETD:etd-03262008-101545.

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21

Lun, Cliff Ki Keung. "Kinetic theories of granular flow." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=73989.

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22

Vinerean, Mirela Christina. "Classification of Normal Discrete Kinetic Models." Licentiate thesis, Karlstad University, Division for Engineering Sciences, Physics and Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-2431.

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<p>“In many interesting papers on discrete velocity models (DVMs), authors postulate from the beginning that the finite velocity space with "good" properties is given and only after this step they study the Discrete Boltzmann Equation. Contrary to this approach, our aim is not to study the equation, but to discuss all possible choices of finite phase spaces (sets) satisfying this type of "good" restrictions. Due to the velocity discretization it is well known that it is possible to have DVMs with "spurious" summational invariants (conservation laws which are not linear combinations of physical

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23

Vinerean, Mirela Cristina. "Discrete Kinetic Models and Conservation Laws." Doctoral thesis, Karlstads universitet, Institutionen för ingenjörsvetenskap, fysik och matematik, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-2407.

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Classical kinetic theory of gases is based on the Boltzmann equation (BE) which describes the evolution of a system of particles undergoing collisions preserving mass, momentum and energy. Discretization methods have been developed on the idea of replacing the original BE by a finite set of nonlinear hyperbolic PDEs corresponding to the densities linked to a suitable finite set of velocities. One open problem related to the discrete BE is the construction of normal (fulfilling only physical conservation laws) discrete velocity models (DVMs). In many papers on DVMs, authors postulate from the b

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24

Liu, Hongwei. "Gas-kinetic methods for viscous fluid flows /." View abstract or full-text, 2007. http://library.ust.hk/cgi/db/thesis.pl?MATH%202007%20LIU.

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25

Merino, Aceituno Sara. "Contributions in fractional diffusive limit and wave turbulence in kinetic theory." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/256994.

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This thesis is split in two different topics. Firstly, we study anomalous transport from kinetic models. Secondly, we consider the equations coming from weak wave turbulence theory and we study them via mean-field limits of finite stochastic particle systems. $\textbf{Anomalous transport from kinetic models.}$ The goal is to understand how fractional diffusion arises from kinetic equations. We explain how fractional diffusion corresponds to anomalous transport and its relation to the classical diffusion equation. In previous works it has been seen that particles systems undergoing free transpo

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26

Ben, Dhia Zakaria. "Novel Treatments for Multi-phase Flow Prediction Inspired By Kinetic Theory." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/34924.

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This study entails an investigation of a novel moment closure, originally constructed for rarefied-gas prediction, to the modelling of inert, dilute, disperse, particle flows. Such flows are important in many engineering situations. As one example, in internal-combustion engines, fuel is often injected as a spray of tiny droplets and, during combustion, a cloud of tiny soot particles can be formed. These particle phases are often difficult to model, especially when particles display a range of velocities at each location in space. Lagrangian methods are often too costly and many Eulerian field

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27

Napier, Duncan George. "Far-from-equilibrium gas kinetic theory : reactive systems and sound propagation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq25127.pdf.

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28

Khambekar, Jayant Vijay. "Kinetic Theory for Anisotropic Thermalization and Transport of Vibrated Granular Material." Digital WPI, 2007. https://digitalcommons.wpi.edu/etd-dissertations/246.

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The purpose of this work is to develop a continuum theory that may be used to predict the effects of anisotropic boundary vibrations on loose granular assemblies. In order to do so, we extend statistical averaging techniques employed in the kinetic theory to derive an anisotropic flow theory for rapid, dense flows of identical, inelastic spheres. The theory is anisotropic in the sense that it treats the full second moment of velocity fluctuations, rather than only its isotropic piece, as a mean field to be determined. In this manner, the theory can, for example, predict granular temperature

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29

Matsui, Tatsuki. "Kinetic theory and simulation of collisionless tearing in bifurcated current sheets." Diss., University of Iowa, 2008. http://ir.uiowa.edu/etd/38.

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30

Que, Yin Tik. "BGK kinetic scheme for the shallow-water equations /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?MATH%202003%20QUE.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2003.<br>Includes bibliographical references (leaves 108-109). Also available in electronic version. Access restricted to campus users.

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31

Walus, Wlodzimierz Ignacy. "Stationary solutions of abstract kinetic equations." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/53613.

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The abstract kinetic equation Tψ’=-Aψ is studied with partial range boundary conditions in two geometries, in the half space x≥0 and on a finite interval [0, r]. T and A are abstract self-adjoint operators in a complex Hilbert space. In the case of the half space problem it is assumed that T is a (possibly) unbounded injection and A is a positive compact perturbation of the identity satisfying a regularity condition, while in the case of slab geometry T is a bounded injection and A is a bounded Fredholm operator with a finite dimensional negative part. Existence and uniqueness theory is devel

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32

Jin, Changqiu. "Gas-kinetic moving mesh methods for viscous flow simulations /." View abstract or full-text, 2006. http://library.ust.hk/cgi/db/thesis.pl?MATH%202006%20JIN.

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33

Perkyns, John Stephen. "The solution to the reference hypernetted-chain approximation for fluids of hard spheres with dipoles and quadrupoles with application to liquid ammonia." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/24897.

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This thesis is divided into two parts. In Part A the reference hypernetted-chain (RHNC) approximation is solved for a fluid of hard spheres with embedded point dipoles and linear quadrupoles. The thermodynamic properties, the dielectric constant, ∈, and the pair correlation function are compared with previously calculated Monte Carlo data as well as with results from other integral equation methods. The RHNC is found to closely approximate the Monte Carlo results and is shown to improve on the other methods. In Part B a self-consistent mean field theory for molecular polarizability is used, t

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34

Eppard, William M. "Kinetic algorithms for non-equilibrium gas dynamics." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06062008-165605/.

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35

Funagane, Hitoshi. "Studies on internal rarefied gas flows on the basis of kinetic theory." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157525.

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36

Hüser, Julian [Verfasser], and Tilmann [Akademischer Betreuer] Kuhn. "Kinetic theory of magnon Bose-Einstein condensation / Julian Hüser ; Betreuer: Tilmann Kuhn." Münster : Universitäts- und Landesbibliothek Münster, 2016. http://d-nb.info/1141683075/34.

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37

Mao, Kefei. "Kinetic theory of irreversible processes in a system of radiation and matter." Thesis, McGill University, 1993. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=41706.

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Thermodynamics of irreversible processes in a radiation field is formulated, based on kinetic theory, by treating nonequilibrium radiation as a nonequilibrium photon gas interacting with matter. The generalized hydrodynamic equations for macroscopic variables necessary for describing temporal and spatial evolution of irreversible processes in the system of matter and radiation are derived from kinetic equations by using the modified moment method. The method rigorously yields the conclusion that entropy differential is not an exact differential when the system is away from equilibrium. Therefo

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38

Ortiz, Ruben Santamaria. "Density functional theory of kinetic and exchange energies of atoms and molecules." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.276885.

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39

Jeffery, Helen B. (Helen Barbara). "The kinetic paradox of objects : a working theory for designing architectural fabric." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/12260.

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Thesis (M. Arch.)--Massachusetts Institute of Technology, Dept. of Architecture, 1994.<br>Includes bibliographical references (p. 49-51).<br>If all architectural form could be simplistically grouped into only two categories, these might be "object" and "partial enclosure," where objects are in dialogue with the space around them while partial enclosures articulate the space within them. In contemporary architectural discourse, "object" is in disfavor. Particularly in the sphere of urban planning, and in reaction to city-hating International-style buildings, architectural objects are to be avoi

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40

Bhave, Aparna Vasant. "Kinetic theory for dilute and concentrated polymer solution study of nonhomogeneous effects." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/12553.

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41

Wolfson, Michael Aaron. "Kinetic theory of waves in random media and amelioration of classical chaos." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186895.

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The approach to the classical limit of wave mechanics is investigated where, in the classical limit, the dynamical system is nonintegrable and the motion in phase space is chaotic. The problem is cast in the setting of wave propagation in random media, and the fundamental starting point is an idealized stochastic parabolic wave equation (SPE) in two space dimensions with plane wave initial data. The potential is taken to have mean zero, strength ε ≪ 1 fluctuations which are homogeneous, isotropic, and have a single scale. The formal classical limit of the SPE, the parabolic ray equations are i

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42

Tian, Chun-Lin. "Compressible convection simulation by the gas-kinetic BGK scheme /." View abstract or full-text, 2005. http://library.ust.hk/cgi/db/thesis.pl?MATH%202005%20TIAN.

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43

Pihnastyi, O. M., and K. V. Likhno. "About the kinetic models of controlled production processes." Thesis, Національний технічний університет "Харківський політехнічний інститут", 2017. http://repository.kpi.kharkov.ua/handle/KhPI-Press/42512.

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44

Tzanakopoulos, Antonios. "On the kinetic theory of test-particles weakly-coupled to large equilibrium systems." Doctoral thesis, Universite Libre de Bruxelles, 1987. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/213446.

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45

Yao, Aixiang. "Kinetic theory and global existence in Lp1s for a dense square-well fluid." Diss., Virginia Tech, 1995. http://hdl.handle.net/10919/39600.

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In this paper, we consider the kinetic equation for a dense square-well fluid and the geometric factor Y _ 1, provide the related kinetic theory, and prove a global existence theorem in L1 for the kinetic equation under rather general initial value condition. An analogue of the classical H-theorem is verified.<br>Ph. D.

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46

Mossberg, Eva. "Some numerical and analytical methods for equations of wave propagation and kinetic theory." Doctoral thesis, Karlstad : Fakulty of Technology and Science, Mathematics, Karlstads universitet, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-1848.

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47

Yao, Aixiang. "Kinetic theory and global existence in L¹ for a dense square-well fluid /." This resource online, 1995. http://scholar.lib.vt.edu/theses/available/etd-10042006-143850/.

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48

Taguchi, Satoshi. "Kinetic-Theory Study of Vapor Flows in the Presence of a Noncondensable Gas." 京都大学 (Kyoto University), 2004. http://hdl.handle.net/2433/147621.

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49

TOSIN, ANDREA. "Discrete kinetic and stochastic game theory for vehicular traffic: Modeling and mathematical problems." Doctoral thesis, Politecnico di Torino, 2008. http://hdl.handle.net/11583/2623639.

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n this thesis we are concerned with the mathematical modeling of vehicular traffic atthe kinetic scale. In more detail, starting from the general structures proposed by Arlottiet al. and by Bellomo, we develop a discrete kinetic framework in which thevelocity of the vehicles is not regarded as a continuous variable but can take a finite number of values only. Discrete kinetic models have historically been conceived in connection with the celebrated Boltzmann equation, primarily as mathematical tools to reduce the analytical complexity of the latter (see e.g., Bellomo and Gatignol, Gatignol): T

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50

Shi, Feng. "Nucleation and Growth in Materials and on Surfaces:Kinetic Monte Carlo Simulation and Rate Equation Theory." University of Toledo / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1216839589.

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