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Dissertations / Theses on the topic 'Diffusion'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Imoto, Yu, and Takashi Odagaki. "Diffusion on diffusing particles." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-193282.

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We investigate random walk of a particle constrained on cells, where cells behave as a lattice gas on a two dimensional square lattice. By Monte Carlo simulation, we obtain the mean first passage time of the particle as a function of the density and temperature of the lattice gas. We find that the transportation of the particle becomes anomalously slow in a certain range of parameters because of the cross over in dynamics between the low and high density regimes; for low densities the dynamics of cells plays the essential role, and for high densities, the dynamics of the particle plays the dom

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2

Imoto, Yu, and Takashi Odagaki. "Diffusion on diffusing particles." Diffusion fundamentals 6 (2007) 11, S. 1-7, 2007. https://ul.qucosa.de/id/qucosa%3A14185.

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We investigate random walk of a particle constrained on cells, where cells behave as a lattice gas on a two dimensional square lattice. By Monte Carlo simulation, we obtain the mean first passage time of the particle as a function of the density and temperature of the lattice gas. We find that the transportation of the particle becomes anomalously slow in a certain range of parameters because of the cross over in dynamics between the low and high density regimes; for low densities the dynamics of cells plays the essential role, and for high densities, the dynamics of the particle plays the dom

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3

Bernhardt, Thomas. "Reflected diffusions and piecewise diffusion approximations of Levy processes." Thesis, London School of Economics and Political Science (University of London), 2017. http://etheses.lse.ac.uk/3659/.

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In the first part of the thesis, the solvability of stochastic differential equations with reflecting boundary conditions is studied. Such equations arise in singular stochastic control problems as a way for determining the optimal strategies. The stochastic differential equations represent homogeneous one-dimensional diffusions while the boundaries are given by c`adl`ag functions. Pathwise solutions are constructed under mild assumptions on the coefficients of the equations. In particular, the solutions are derived as the diffusions’ scale functions composed with appropriately time-changed re

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4

Prehl, Janett Hoffmann Karl-Heinz. "Diffusion on fractals Diffusion auf Fraktalen /." [S.l. : s.n.], 2007.

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5

Rane, Swati. "Diffusion tensor imaging at long diffusion time." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29708.

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Thesis (Ph.D)--Biomedical Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Hu, Xiaoping; Committee Member: Brummer, Marijn; Committee Member: Duong, Tim; Committee Member: Keilholz, Shella; Committee Member: Schumacher, Eric. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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6

Coulon, Anne-Charline. "Propagation in reaction-diffusion equations with fractional diffusion." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/277576.

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This thesis focuses on the long time behaviour of solutions to Fisher-KPP reaction-diffusion equations involving fractional diffusion. This type of equation arises, for example, in spatial propagation or spreading of biological species (rats, insects,...). In population dynamics, the quantity under study stands for the density of the population. It is well-known that, under some specific assumptions, the solution tends to a stable state of the evolution problem, as time goes to infinity. In other words, the population invades the medium, which corresponds to the survival of the species,

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7

Benson, Debbie Lisa. "Reaction diffusion models with spatially inhomogeneous diffusion coefficients." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239337.

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8

Prehl, Janett. "Diffusion on fractals and space-fractional diffusion equations." Doctoral thesis, Universitätsbibliothek Chemnitz, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-201001068.

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Ziel dieser Arbeit ist die Untersuchung der Sub- und Superdiffusion in fraktalen Strukturen. Der Fokus liegt auf zwei separaten Ansätzen, die entsprechend des Diffusionbereiches gewählt und variiert werden. Dadurch erhält man ein tieferes Verständnis und eine bessere Beschreibungsweise für beide Bereiche. Im ersten Teil betrachten wir subdiffusive Prozesse, die vor allem bei Transportvorgängen, z. B. in lebenden Geweben, eine grundlegende Rolle spielen. Hierbei modellieren wir den fraktalen Zustandsraum durch endliche Sierpinski Teppiche mit absorbierenden Randbedingungen und lösen dann die Ma

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9

Kuchel, Philip W., and Guilhem Pages. "NMR diffusion diffraction and diffusion interference from cells." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-194150.

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Pulsed field gradient spin-echo (PGSE) NMR spectroscopy is the definitive means for measuring translational motion of molecules in free solution and in heterogeneous systems. A unique ‘twist’ on the method is that in some systems in which diffusion is restricted the PGSE experiment yields information on the geometrical properties of the confining boundaries. When applied to red blood cells (RBCs) in suspensions, using intense magnetic field gradients (around 10 T m-1), the graph of normalized NMR-signal intensity versus the magnitude of the field gradients has the form of the diffraction and i

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10

Kuchel, Philip W., and Guilhem Pages. "NMR diffusion diffraction and diffusion interference from cells." Diffusion fundamentals 6 (2007) 74, S. 1-16, 2007. https://ul.qucosa.de/id/qucosa%3A14254.

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Pulsed field gradient spin-echo (PGSE) NMR spectroscopy is the definitive means for measuring translational motion of molecules in free solution and in heterogeneous systems. A unique ‘twist’ on the method is that in some systems in which diffusion is restricted the PGSE experiment yields information on the geometrical properties of the confining boundaries. When applied to red blood cells (RBCs) in suspensions, using intense magnetic field gradients (around 10 T m-1), the graph of normalized NMR-signal intensity versus the magnitude of the field gradients has the form of the diffraction and i

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11

Hinchcliffe, Owen G. "Diffusion algebras." Thesis, University of Sheffield, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.425565.

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12

Cussler, Edward L. "Diffusion barriers." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-194127.

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13

Cussler, Edward L. "Diffusion barriers." Diffusion fundamentals 6 (2007) 72, S. 1-12, 2007. https://ul.qucosa.de/id/qucosa%3A14252.

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14

Chakraborty, Jay. "Diffusion in stressed thin films = Diffusion in dünnen Schichten." Stuttgart Max-Planck-Inst. für Metallforschung, 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=975753460.

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15

Coulon, Chalmin Anne-Charline. "Fast propagation in reaction-diffusion equations with fractional diffusion." Toulouse 3, 2014. http://thesesups.ups-tlse.fr/2427/.

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Cette thèse est consacrée à l'étude du comportement en temps long, et plus précisément de phénomènes de propagation rapide, des équations de réaction-diffusion de type Kisher-KPP avec diffusion fractionnaire. Ces équations modélisent, par exemple, la propagation d'espèces biologiques. Sous certaines hypothèses, la population envahit le milieu et nous voulons comprendre à quelle vitesse cette invasion a lieu. Pour répondre à cette question, nous avons mis en place une nouvelle méthode et nous l'appliquons à différents modèles. Dans une première partie, nous étudions deux problèmes d'évolution c

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16

Pavlin, Tina, and John Georg Seland. "Investigating effects from restricted diffusion in multi-component diffusion data." Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-178775.

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We have investigated model systems in which effects from non-Gaussian restricted diffusion could be separated from effects caused by multiple diffusion coefficients. We applied various models to analyze the experimental data. An analysis based on multi-exponential models does not account correctly for effects caused by restricted diffusion in a system with multiple compartments. However, separating the components due to differences in dynamic behavior prior to the diffusion analysis, combined with a diffusion analysis based on the second cumulant approximation, was more robust, and was able

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17

Pavlin, Tina, and John Georg Seland. "Investigating effects from restricted diffusion in multi-component diffusion data." Diffusion fundamentals 22 (2014) 9, S. 1-6, 2014. https://ul.qucosa.de/id/qucosa%3A13489.

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We have investigated model systems in which effects from non-Gaussian restricted diffusion could be separated from effects caused by multiple diffusion coefficients. We applied various models to analyze the experimental data. An analysis based on multi-exponential models does not account correctly for effects caused by restricted diffusion in a system with multiple compartments. However, separating the components due to differences in dynamic behavior prior to the diffusion analysis, combined with a diffusion analysis based on the second cumulant approximation, was more robust, and was able

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18

JONCKHEERE, THIBAUT. "Diffusion d'ondes en milieu atomique : chaos quantique et diffusion multiple." Paris 6, 2001. http://www.theses.fr/2001PA066126.

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Ce travail de these comporte deux parties distinctes, concernant la diffusion d'ondes en milieu atomique. La premiere partie etudie le probleme des niveaux excites d'un atome non-hydrogenoide en champ exterieur. Ce systeme est tres similaire au cas de l'hydrogene dans le meme champ exterieur, mais est plus complexe a cause de la diffusion de l'onde electronique sur le cur ionique non-hydrogenoide. On montre dans cette premiere partie que la presence du cur ionique est mathematiquement equivalente a celle d'un ou plusieurs diffuseurs ponctuels. Ceci permet d'obtenir une equation qui, d'une part

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19

Prehl, geb Balg Janett. "Diffusion on Fractals." Master's thesis, Universitätsbibliothek Chemnitz, 2007. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200701033.

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We study anomalous diffusion on fractals with a static external field applied. We utilise the master equation to calculate particle distributions and from that important quantities as for example the mean square displacement . Applying different bias amplitudes on several regular Sierpinski carpets we obtain maximal drift velocities for weak field strengths. According to ~t^(2/d_w), we determine random walk dimensions of d_w<2 for applied external fields. These d_w corresponds to superdiffusion, although diffusion is hindered by the structure of the carpet, containing dangling ends. This se

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20

Bowen, Mark. "High order diffusion." Thesis, University of Nottingham, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267628.

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21

Barker, John A. "Diffusion in hydrogeology." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-193862.

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The field of hydrogeology is primarily concerned with the flow of water below the ground surface and with transport, normally of solutes and heat, within that water. Many disciplines have contributed to this endeavor which requires skills from across the spectrum of science, engineering and beyond. The diffusion equation describes not only solute transport but also the flow of water, via Darcy’s law. Of particular interest is transport in fractured rock where most of the flow is through the fractures while most of the storage is in the rock pores: a ‘double-porosity’ system. Hydrogeology remai

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22

Heinke, Lars. "Diffusion in MOFs." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-198185.

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23

Eloul, Shaltiel. "Diffusion to electrodes." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:88c5f1d0-9f2f-49d5-b46d-6eeb5b7d4bfe.

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This thesis develops diffusion models for modern electrochemical experiments involving the transport of particles to electrodes and adsorbing surfaces. In particular, the models are related to the 'impact' method where particles stochastically arrive at an electrode and detected electrochemically. The studies are carried out using numerical simulations and also analytical methods. Chapter 1 is introductory and outlines some fundamental concepts in mass transport and kinetics, and their relation to electrochemical measurements which are of importance for the reader. Chapter 2 describes the nume

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24

Barker, John A. "Diffusion in hydrogeology." Diffusion fundamentals 6 (2007) 50, S. 1-18, 2007. https://ul.qucosa.de/id/qucosa%3A14229.

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The field of hydrogeology is primarily concerned with the flow of water below the ground surface and with transport, normally of solutes and heat, within that water. Many disciplines have contributed to this endeavor which requires skills from across the spectrum of science, engineering and beyond. The diffusion equation describes not only solute transport but also the flow of water, via Darcy’s law. Of particular interest is transport in fractured rock where most of the flow is through the fractures while most of the storage is in the rock pores: a ‘double-porosity’ system. Hydrogeology remai

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25

Подолкова, Світлана Віталіївна, Светлана Витальевна Подолкова, Svitlana Vitaliivna Podolkova, and Y. Mykula. "Diffusion of innovation." Thesis, Вид-во СумДУ, 2009. http://essuir.sumdu.edu.ua/handle/123456789/16772.

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26

Agrawal, Mani Kant. "Diffusion activity networks." Raleigh, NC : North Carolina State University, 1999. http://www.lib.ncsu.edu/etd/public/etd-52301811109943140/etd.pdf.

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27

Zerhouni, Abder Rahim. "Diffusion et feuilletages." Grenoble 2 : ANRT, 1986. http://catalogue.bnf.fr/ark:/12148/cb37601925f.

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28

Harris, John William. "Branching diffusion processes." Thesis, University of Bath, 2006. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.428379.

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29

Molkenthin, Nora. "Advection-diffusion-networks." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2014. http://dx.doi.org/10.18452/17064.

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Das globale Klimasystem ist ein ausgesprochen komplexes und hochgradig nichtlineares System mit einer Vielzahl von Einflüssen und Interaktionen zwischen Variablen und Parametern. Komplementär zu der Beschreibung des Systems mit globalen Klimamodellen, kann Klima anhand der Interaktionsstruktur des Gesamtsystems durch Netzwerke beschrieben werden. Statt Details so genau wie möglich zu modellieren, werden hier Zeitreihendaten verwendet um zugrundeliegende Strukturen zu finden. Die Herausforderung liegt dann in der Interpretation dieser Strukturen. Um mich der Frage nach der Interpretation von N

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30

Golshani, Fariborz. "Boron doping of diamond powder by enhanced diffusion and forced diffusion : diffusion concentrations, mechanical, chemical and optical properties /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9842530.

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31

Pablo, Hélène. "Diffusion chimique dans les verres borosilicates d'intérêt nucléaire." Thesis, Paris, Muséum national d'histoire naturelle, 2017. http://www.theses.fr/2017MNHN0014/document.

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La diffusion chimique est un phénomène clé dans l’élaboration des verres d’intérêt nucléaire. A haute température, dans le liquide, elle permet l’homogénéisation des flux de matière (précurseurs vitreux et déchets) et conduit à la formation d’un verre homogène après refroidissement. A contrario, dans le liquide surfondu, elle peut être à l’origine de processus de séparation de phase ou de cristallisation qui doivent être contrôlés pour le bon fonctionnement du procédé. Dans cette thèse, l’influence de la diffusion chimique sur les processus de cristallisation et d’homogénéisation du liquide es

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32

Mukherjee, Sayak. "Applications of Field Theory to Reaction Diffusion Models and Driven Diffusive Systems." Diss., Virginia Tech, 2009. http://hdl.handle.net/10919/39293.

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In this thesis, we focus on the steady state properties of two systems which are genuinely out of equilibrium. The first project is an application of dynamic field theory to a specific non equilibrium critical phenomenon, while the second project involves both simulations and analytical calculations. The methods of field theory are used on both these projects. In the first part of this thesis, we investigate a generalization of the well-known field theory for directed percolation (DP). The DP theory is known to describe an evolving population, near extinction. We have coupled this evolving pop

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33

Jonckheere, Thibaut. "Diffusion d'ondes dans un milieu atomique : chaos quantique et diffusion multiple." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2000. http://tel.archives-ouvertes.fr/tel-00000410.

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Ce travail de thèse comporte deux parties distinctes, concernant la diffusion d'ondes en milieu atomique.<br />La première partie étudie le problème<br />des niveaux excités d'un atome non-hydrogenoide en champ extérieur. Ce système est très similaire<br />au cas de l'hydrogène dans le même champ extérieur, mais est plus complexe à cause de la diffusion<br />de l'onde électronique sur le coeur ionique non-hydrogenoide. On montre dans cette première partie que la <br />présence du coeur ionique est mathématiquement équivalente à celle d'un ou plusieurs diffuseurs<br />ponctuels. Ceci permet d'o

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34

Endal, Jørgen. "Nonlinear fractional convection-diffusion equations, with nonlocal and nonlinear fractional diffusion." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-22955.

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We study nonlinear fractional convection-diffusion equations with nonlocal and nonlinear fractional diffusion. By the idea of Kru\v{z}kov (1970), entropy sub- and supersolutions are defined in order to prove well-posedness under the assumption that the solutions are elements in $L^{\infty}(\mathbb{R}^d\times (0,T))\cap C([0,T];L_\text{loc}^1(\mathbb{R}^d))$. Based on the work of Alibaud (2007) and Cifani and Jakobsen (2011), a local contraction is obtained for this type of equations for a certain class of L\'evy measures. In the end, this leads to an existence proof for initial data in $L

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35

Hrabetova, Sabina. "Extracellular diffusion in brain: distinct diffusion regimes at different spatial scales." Diffusion fundamentals 16 (2011) 3, S. 1-2, 2011. https://ul.qucosa.de/id/qucosa%3A13731.

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36

Shah, Milap. "Parallel Aes diffusion inter block diffusion at bit level and compression." Thesis, Högskolan i Halmstad, Akademin för informationsteknologi, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-42449.

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Information is an intelligent data through which knowledgeable and usable things can be convicted or interpreted in a proper manner. With the advancement of technology, transmission of information over the network has come a trend. This information must be transmitted securely over the network. Data security was not a problem if a secure channel was provided for single transmission. It is a necessity to convert the information into an unintelligible form for transmitting it over an unsecured channel. Encryption is a technique through which original information can be converted into unintelligi

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37

Kharchenko, Andriy V. "La diffusion de la lumière par les gaz : de la diffusion incohérente à la diffusion exacerbée ; application à la vélocimétrie." Palaiseau, Ecole polytechnique, 2000. http://www.theses.fr/2000EPXX0013.

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La diffusion exacerbée de la lumière par un gaz utilise la diffusion élastique et se produit lorsque la distribution spatiale de la densité du gaz n'est pas uniforme. Le champ électrique de cette diffusion est proportionnel à une transformée de Fourier spatiale de la distribution des molécules au vecteur d'onde k, et son intensité mesure le facteur de forme s(k). Dans ce travail, on a mesuré le facteur de forme s(k) dans l'écoulement turbulent d'un jet d'air en fonction du module du vecteur d'onde k depuis les échelles des mouvements microscopiques (10 microns) jusqu'à l'échelle macroscopique

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38

Euschen, Andreas. "Diffusion in flüssigkristallinen Silastomeren : e. Beitr. zur Kontrolle d. Arzneistofffreisetzung durch Diffusion /." Saarbrücken, 1988. http://www.gbv.de/dms/bs/toc/016585976.pdf.

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39

Zhang, Qiaofu. "Use Diffusion Multiples to Investigate Diffusion and Precipitation Behavior in Binary Systems." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1483702959561522.

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40

Euschen, Andreas. "Diffusion in flüssigkristallinen Silastomeren : e. Beitrag zur Kontrolle d. Arzneistofffreisetzung durch Diffusion /." [S.l.], 1988. http://www.gbv.de/dms/bs/toc/016585976.pdf.

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41

Heim, Susanne. "Statistical Diffusion Tensor Imaging." Diss., lmu, 2007. http://nbn-resolving.de/urn:nbn:de:bvb:19-72610.

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42

Fredriksson, Lars. "Normal and anomalous diffusion." Thesis, Karlstads universitet, Fakulteten för teknik- och naturvetenskap, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-6561.

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Diffusion can be classified as either normal or anomalous. A variety of experimental systems are evaluated to classify diffusion. Potential regressions and step size distributions are analysed. Nor-mal diffusion holds except where flocculation takes place, or where concentrations of cationic starches are high or with cationic starches and latex together. In these cases, subdiffusion takes place. Furthermore, limiting values are used to calculate diffusion coefficients. Diffusion of non-spherical particles is covered as well, here tested on microcrystalline cellulose.

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43

Hariz, Jakob. "Diffusion in fractal globules." Thesis, Umeå universitet, Institutionen för fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-126570.

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Recent experiments suggest that the human genome (all of our DNA) is organised as a so-called fractal globule. The fractal globule is a knot--free dense polymer that easily folds and unfolds any genomic locus, for example a group of nearby genes. Proteins often need to locate specific target sites on the DNA, for instance to activate a gene. To understand how proteins move through the DNA polymer, we simulate diffusion of particles through a fractal globule. The fractal globule was generated on a cubic lattice as spheres connected by cylinders. With the structure in place, we simulate particle

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44

Ta, Thi nguyet nga. "Sub-gradient diffusion equations." Thesis, Limoges, 2015. http://www.theses.fr/2015LIMO0137/document.

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Ce mémoire de thèse est consacrée à l'étude des problèmes d'évolution où la dynamique est régi par l'opérateur de diffusion de sous-gradient. Nous nous intéressons à deux types de problèmes d'évolution. Le premier problème est régi par un opérateur local de type Leray-Lions avec un domaine borné. Dans ce problème, l'opérateur est maximal monotone et ne satisfait pas la condition standard de contrôle de la croissance polynomiale. Des exemples typiques apparaît dans l'étude de fluide non-Neutonian et aussi dans la description de la dynamique du flux de sous-gradient. Pour étudier le problème nou

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45

Palmieri, Benoit. "Diffusion in channeled structures." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=18269.

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The theory of Ronis and Vertenstein [J. Chem. Phys. vol. 85, 1628, (1986)] is used to calculate the permeability of Xenon in Theta-1 and of Argon in alpha-quartz, both crystalline sodalites containing large, one-dimensional channels in the first case and narrow interconnected channels in the second. The simulated dynamics of a small part of the crystal atoms exactly reproduce those of the full crystal by the means of a generalized Langevin classical equation of motion. An approximate expression for the potential of mean force inside the crystal is derived. The Theta-1 energ

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46

Abdullatif, Tawfik A. "Turbulent diffusion impinging flames." Thesis, University of Manchester, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.488402.

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47

Kallioras, Panagiotis. "Diffusion Through Multilayer Networks." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251289.

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Population of earth is increasing rapidly, generating more and more situations which allow us to study the mechanisms behind humans. Previous studies have found evidence of important network effects. When network effects are present, the value of a product or service is dependent on the number of others using them; however there is a lack of empirical research concerning them. The goal of this thesis is to examine and analyze such networks and try through a simulation model of a diffusion process to identify the determinant that can predict the result. We investigate these networks in terms of

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48

Allen, Elizabeth D. "Diffusion through strained semiconductors." Thesis, University of Nottingham, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267629.

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49

Gandhi, U. P. "Diffusion in cellulose derivatives." Thesis, Cardiff University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376555.

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50

Dray, A. E. "Diffusion bonding of aluminium." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382557.

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