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Dissertations / Theses on the topic 'Équations de Poisson-Nernst Planck'

Author: Grafiati

Published: 28 September 2024

Last updated: 31 July 2025

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1

Paragot, Paul. "Analyse numérique du système d'équations Poisson-Nernst Planck pour étudier la propagation d'un signal transitoire dans les neurones." Electronic Thesis or Diss., Université Côte d'Azur, 2024. http://www.theses.fr/2024COAZ5020.

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Les questions neuroscientifiques concernant les dendrites incluent la compréhension de leur plasticité structurale en réponse à l'apprentissage et la manière dont elles intègrent les signaux. Les chercheurs visent à élucider ces aspects pour améliorer notre compréhension de la fonction neuronale et de ses complexités. Cette thèse vise à offrir des perspectives numériques concernant la dynamique du voltage et des ions dans les dendrites. Notre objectif est de modéliser l'excitation neuronale dans les dendrites. Nous abordons la dynamique ionique suite à l'afflux de signaux nerveux. Pour les sim

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2

Cartailler, Jérôme. "Asymptotic of Poisson-Nernst-Planck equations and application to the voltage distribution in cellular micro-domains." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066297/document.

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Dans cette thèse j’étudie l’impact de la géométrie de micro et nano-domaines biologiques sur les propriétés d'électrodiffusion, ceci à l'aide des équations aux dérivées partielles de Poisson-Nernst-Planck. Je considère des domaines non-triviaux ayant une forme cuspide ou elliptique. Mon objectif est de développer des modèles ainsi que des méthodes mathématiques afin d'étudier les caractéristiques électriques de ces nano/micro-domaines, et ainsi mieux comprendre comment les signaux électriques sont modulés à ces échelles. Dans la première partie j’étudie le voltage à l'équilibre pour un électro

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3

Abdul, Samad Feras. "Polarisation provoquée : expérimentation, modélisation et applications géophysiques." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066049/document.

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Les mécanismes produisant les signaux observés par la méthode de Polarisation Provoquée (PP) sur une large gamme de fréquences (entre 1 mHz et 20 kHz) ne sont pas encore complètement identifiés. Deux sujets particuliers ont été abordés dans cette thèse. L'origine du signal observé à haute fréquence (>1 kHz) a été analysé en effectuant des mesures de la résistivité complexe sur de l'eau à différentes salinités. Les résultats montrent des écarts sur la phase par rapport à la réponse attendue à haute fréquence. Ils dépendent du type d'électrode de mesures et de la conductivité du milieu. Un mo

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Abdul, Samad Feras. "Polarisation provoquée : expérimentation, modélisation et applications géophysiques." Electronic Thesis or Diss., Paris 6, 2017. http://www.theses.fr/2017PA066049.

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Les mécanismes produisant les signaux observés par la méthode de Polarisation Provoquée (PP) sur une large gamme de fréquences (entre 1 mHz et 20 kHz) ne sont pas encore complètement identifiés. Deux sujets particuliers ont été abordés dans cette thèse. L'origine du signal observé à haute fréquence (>1 kHz) a été analysé en effectuant des mesures de la résistivité complexe sur de l'eau à différentes salinités. Les résultats montrent des écarts sur la phase par rapport à la réponse attendue à haute fréquence. Ils dépendent du type d'électrode de mesures et de la conductivité du milieu. Un mo

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5

Lefebvre, Xavier. "Etude des modèles de transfert en nanofiltration : application du modèle hybride basé sur les équations de Nernst-Planck étendues par le développement du logiciel de simulation "nanoflux"." Montpellier 2, 2003. http://www.theses.fr/2003MON20082.

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6

Moreau, Antoine. "Calcul des propriétés homogénéisées de transfert dans les matériaux poreux par des méthodes de réduction de modèle : Application aux matériaux cimentaires." Thesis, La Rochelle, 2022. http://www.theses.fr/2022LAROS024.

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Cette thèse propose de coupler deux outils préexistant pour la modélisation mathématique en mécanique : l’homogénéisation périodique et la réduction de modèle, afin de modéliser la corrosion des structures de béton armé exposées à la pollution atmosphérique et au sel marin. Cette dégradation est en effet difficile à simuler numériquement, eu égard la forte hétérogénéité des matériaux concernés, et la variabilité de leur microstructure. L’homogénéisation périodique fournit un modèle multi-échelle permettant de s’affranchir de la première de ces deux difficultés. Néanmoins, elle repose sur l’exi

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7

Herda, Maxime. "Analyse asymptotique et numérique de quelques modèles pour le transport de particules chargées." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1165/document.

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Cette thèse est consacrée à l'étude mathématique de quelques modèles d'équations aux dérivées partielles issues de la physique des plasmas. On s'intéresse principalement à l'analyse théorique de différents régimes asymptotiques de systèmes d'équations cinétiques de type Vlasov-Poisson-Fokker-Planck. Dans un premier temps, en présence d'un champ magnétique extérieur on se concentre sur l'approximation des électrons sans masse fournissant des modèles réduits lorsque le rapport me{mi entre la masse me d'un électron et la masse mi d'un ion tend vers 0 dans les modèles. Suivant le régime considéré,

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8

Minton, Geraint Philip. "Modelling the static and dynamic behaviour of electrolytes : a modified Poisson-Nernst-Planck approach." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/modelling-the-static-and-dynamic-behaviour-of-electrolytes-a-modified-poissonnernstplanck-approach(de9671fd-feb5-4870-b0a9-ad6a28ff953d).html.

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In this thesis a method is presented for the modelling the effects of the excluded volume (ion-ion) and ion excess polarisability (ion-solvent) interactions in an electrolyte at a smooth planar electrode. The impact of these interactions is studied in terms of the equilibrium state of single and mixed electrolytes, the dynamic response of single electrolytes to a time-dependent applied potential, and their effect on the reaction rate, for both steady and time-dependent applied potentials. For reacting systems, the reaction rate is modelled using a modified form of the Frumkin-Butler-Volmer equ

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9

Lim, Jong Il. "Transient finite element analysis of electric double layer using Nernst-Planck-Poisson equations with a modified stern layer." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4703.

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Finite element analysis of electric double layer capacitors using a transient nonlinear Nernst-Planck-Poisson (NPP) model and Nernst-Planck-Poisson-modified Stern layer (NPPMS) model are presented in 1D and 2D. The NPP model provided unrealistic ion concentrations for high electrode surface potential. The NPPMS model uses a modified Stern layer to account for finite ion size, resulting in realistic ion concentrations even at high surface potential. The finite element solution algorithm uses the Newton-Raphson method to solve the nonlinear problem and the alpha family approximation for time int

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10

Neuen, Christian P. T. [Verfasser]. "Numerical Simulation of Ion Migration with Particle Dynamics and the Heat-Poisson-Nernst-Planck System / Christian P. T. Neuen." Bonn : Universitäts- und Landesbibliothek Bonn, 2016. http://d-nb.info/1124540164/34.

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11

Pods, Jurgis Jonas [Verfasser], and Peter [Akademischer Betreuer] Bastian. "Electrodiffusion Models of Axon and Extracellular Space Using the Poisson-Nernst-Planck Equations / Jurgis Jonas Pods ; Betreuer: Peter Bastian." Heidelberg : Universitätsbibliothek Heidelberg, 2014. http://d-nb.info/1179925513/34.

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Pods, Jurgis [Verfasser], and Peter [Akademischer Betreuer] Bastian. "Electrodiffusion Models of Axon and Extracellular Space Using the Poisson-Nernst-Planck Equations / Jurgis Jonas Pods ; Betreuer: Peter Bastian." Heidelberg : Universitätsbibliothek Heidelberg, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:16-heidok-171286.

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13

Filbet, Francis. "Contribution à l'analyse et la simulation numérique de l'équation de Vlasov." Nancy 1, 2001. http://docnum.univ-lorraine.fr/public/SCD_T_2001_0068_FILBET.pdf.

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Ce travail est consacré à l'étude de quelques problèmes de la physique des plasmas: le transport de particules chargées et l'étude des collisions. Dans un premier temps, plusieurs méthodes eulériennes pour la discrétisation de l'équation de Vlasov, modélisant le transport des particules, sont proposées. L'originalité de ces méthodes est l'utilisation d'un maillage ou d'une grille de l'espace des phases pouvant aller jusqu'à six dimensions. Une démonstration rigoureuse de la convergence et des estimations d'erreurs sont d'abord présentées pour un schéma simplifié. Puis des schémas d'ordre plus

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14

WANG, ZHENG. "HIERARCHICAL APPROACH TO PREDICTING TRANSPORT PROPERTIES OF A GRAMICIDIN ION CHANNEL WITHIN A LIPID BILAYER." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1069794237.

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15

MATSUNO, NOBUNAKA. "THEORETICAL AND EXPERIMENTAL STUDIES OF ION TRANSPORT THROUGH BIOLOGICAL MEMBRANE CHANNELS." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1060886930.

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16

Kubeil, Clemens. "Zum Einfluss elektrochemischer Doppelschichten auf den Stofftransport in nanoskaligen Elektrolytsystemen:." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-218829.

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Es besteht enormes Interesse den Stofftransport in nanoskaligen Systemen zu verstehen und selektiv zu steuern, um analytische und synthetische Anwendungen zu entwickeln, aber auch um die physiologischen Prozesse lebender Zellen zu entschlüsseln. Im Rahmen dieser Arbeit wurde der Einfluss der elektrochemischen Doppelschicht an ausgewählten nanoskaligen Elektrolytsystemen untersucht. Die Gleichrichtung von Ionenströmen (engl. Ionic Current Rectification ICR) in Nanoporen mit einer Oberflächenladung äußert sich in einer gekrümmten Strom-Spannungs-Kurve. Die Überlappung von innerem und äußerem Pot

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17

Backhaus, Karsten. "Das dielektrische Verhalten der Öl-Papier-Isolierung bei Belastung mit hoher Gleichspannung." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-228992.

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Basierend auf den physikalischen Eigenschaften der unterschiedlichen ölintrinsischen und injizierten Ladungsträger wird ein neues Leitfähigkeitsmodell für Isolieröl und -papier für die Belastung mit hoher Gleichspannung aufgestellt. Das Modell wird mit der Wahl geeigneter Randbedingungen für das elektrische Feld und der Teilchenströme auf die Poisson-Nernst-Planck-Gleichung übertragen. Es steht damit ein Werkzeug zur Verfügung, das dielektrische Verhalten der Öl-Papier-Isolierung zu modellieren, dessen Parameter auf den physikalischen Ladungsträgereigenschaften wie Mobilität und Diffusion basi

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18

Mohajeri, Arash. "Effective diffusion coefficients for charged porous materials based on micro-scale analyses." Connect to thesis, 2009. http://repository.unimelb.edu.au/10187/5780.

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Estimation of effective diffusion coefficients is essential to be able to describe the diffusive transport of solutes in porous media. It has been shown in theory that in the case of uncharged porous materials the effective diffusion coefficient of solutes is a function of the pore morphology of the material and can be described by their tortuosity (tensor). To estimate the apparent diffusion coefficients, the values of tortuosity and porosity should be known first. In contrast with calculation of porosity, which can be easily obtained, estimation of tortuosity is intricate, particularly with

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19

Conway, Eamon. "Mathematical modelling of ionic transport through Nanopores." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/134168/1/Eamon_Conway_Thesis.pdf.

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The transport of ionic species through nanopores is important in determining the underlying behaviour of electrolytes on the nanoscale; the understanding of which has important applications in the development of bio-molecular sensors and nanofluidic diodes. Importantly, this thesis has developed a novel mathematical model of ionic transport through a nanopore that can be quantitatively compared to experimental results. In doing so, we have been able to further understand the mechanisms behind ionic transport and explain previously unexplained experimental results.

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20

Bokun, G. S., Ya G. Groda, R. N. Lasovsky, and V. S. Vikhrenko. "Charge Distribution Around Nanoscale Nonhomogeneities in Solid State Ionics." Thesis, Sumy State University, 2015. http://essuir.sumdu.edu.ua/handle/123456789/42717.

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The system of Nernst-Planck-Poisson equations is modified by including the gradient terms in the chemical potential expression. The gradient terms are important in the regions of significant inhomogeneities, e. g. near the interface boundaries. These modified equations are used for investigating the particle density distribution in the vicinity of interphase boundary of a solid electrolyte. The differential equation of the fourth order for the problem of contact between two solid phases is formulated. Its analytic solution which describes non monotonic distribution of charge in both phases is

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21

Dickinson, Edmund John Farrer. "Charge transport dynamics in electrochemistry." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:e4acac56-7265-49ec-9a36-49b3ae6729ed.

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Electrolytic solutions contain mobile ions that can pass current, and are essential components of any solution-phase electrochemical system. The Nernst–Planck–Poisson equations describe the electrodynamics and transport dynamics of electrolytic solutions. This thesis applies modern numerical and mathematical techniques in order to solve these equations, and hence determine the behaviour of electrochemical systems involving charge transport. The following systems are studied: a liquid junction where a concentration gradient causes charge transport; an ideally polarisable electrode where an appl

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22

Volkov, Anton. "Ionic and electronic transport in electrochemical and polymer based systems." Doctoral thesis, Linköpings universitet, Fysik och elektroteknik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-135429.

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Electrochemical systems, which rely on coupled phenomena of the chemical change and electricity, have been utilized for development an interface between biological systems and conventional electronics. The development and detailed understanding of the operation mechanism of such interfaces have a great importance to many fields within life science and conventional electronics. Conducting polymer materials are extensively used as a building block in various applications due to their ability to transduce chemical signal to electrical one and vice versa. The mechanism of the coupling between the

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23

Kramer, Stephan Christoph. "CUDA-based Scientific Computing." Doctoral thesis, Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-FB52-0.

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Fortin, Pierre. "Algorithmique hiérarchique parallèle haute performance pour les problèmes à N-corps." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2006. http://tel.archives-ouvertes.fr/tel-00135843.

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Cette thèse porte sur la méthode dite « méthode multipôle rapide » qui résout hiérarchiquement le problème à N-corps avec une complexité linéaire pour n'importe quelle précision. Dans le cadre de l'équation de Laplace, nous souhaitons pouvoir traiter efficacement toutes les distributions de particules rencontrées en astrophysique et en dynamique moléculaire.<br /> Nous étudions tout d'abord deux expressions distinctes du principal opérateur (« multipôle-to-local ») ainsi que les bornes d'erreur associées. Pour ces deux expressions, nous présentons une formulation matricielle dont l'implémentat

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Hsieh, Chia-Yu, and 謝佳佑. "On Poisson-Nernst-Planck Type Equations." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/53108790841063399781.

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博士<br>國立臺灣大學<br>數學研究所<br>102<br>This thesis consists of three parts. The first part is devoted to the stability problem of boundary layer solutions to Poisson-Nernst-Planck (PNP) systems. PNP system has been widely used to describe the electron transport of semiconductors and the ion transport of ionic solutions, and plays a crucial role in the study of many physical and biological problems. PNP system with Robin boundary condition for the electrostatic potential admits a boundary layer solution as a steady state. We obtain some stability results by studying the asymptotic behavior for the ste

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Lo, Jen-Ho, and 羅仁和. "Size-Modified Poisson-Nernst-Planck Model." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/96805650568180052217.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>100<br>The Poisson-Nernst-Planck (PNP) model is a basic continuum model for simulating ionic flows in an open ion channel. The effects of finite particle size on electrostatics, density profile, and diffusion have been a long existing topic in the study of ionic solution [8]. The Poisson equation is derived from Coulomb's law in electrostatics and Gauss's theorem in calculus. The Nernst-Planck equation is equivalent to the convection-diffussion model. An entropy functional that accounts for the finite size effects of ions in electrolytes proposed by Borukhov et al

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Chen, Jyun-Yang, and 陳君羊. "A Study of Poisson-Nernst-Planck Equations for IonChannels." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/53950929085511225337.

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碩士<br>國立臺灣大學<br>數學研究所<br>98<br>In this paper, we use the perturbation methods and numerical simulations to observe the behavior of the solution of Poisson-Nernst-Planck equations. First, we do the low-concentration limit case to derive the Goldman-Hodgkin-Katz formula which can be used to explain the occurrence of the nerve impulse. In addition, we obtain a sufficient condition such that current and voltage hold a linear relationship. And for the channel with different wall shapes, we find the numerical solutions. Furthermore, by the energetic variational approach, we derive the modifier Nerns

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Tseng, Chun-Chieh, and 曾俊傑. "Poisson–Nernst–Planck–Fermi Simulations of TRPV1 Ion Channel." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/71670000375281264955.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>104<br>There are tens of thousands of channels within a typical animal cell in which each channel allows specific ions to pass through and control cellular membrane voltage difference. It requires a lot of time and uses expensive equipment to get the channel data in biological experiments. Since the channel is too small, biologists must use the special microscopy to observe the structure of TRPV1 channel. In this thesis, we simulate the cation transport through TRPV1 by using the Poisson-Nernst-Planck-Fermi (PNPF) model. The PNPF solvers for simulating biological

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Yen, Ching-Yu, and 嚴清宇. "A Surface Free Poisson-Nernst-Planck Model for Biological Systems." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/46997575887401065258.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>100<br>Numerical methods are developed for solving the Poisson-Nernst-Planck model in which the electric permittivity is a continuous function of the Boltzmann distribution in terms of the van der Waals (vdW) potential. The vdW potential is expressed as a summation of all pairwise the Lennard-Jones interactions between ions in solvent and the atoms in a biomolecule (protein). The vdW potential has internal layer (potential wall) around the molecule. It is found that direct finite difference approximation of the vdW potential is unable to capture the potential wall

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Chen, Bo-Yun, and 陳博允. "Comparison of Hodgkin Huxley model and Poisson Nernst Planck equations." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/sw4uru.

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碩士<br>國立臺灣大學<br>應用數學科學研究所<br>107<br>This thesis presents a dynamic simulation of intracellular and extracellular ionic concentrations and electric potential, then create an action potential, which is generated by a difference of the electrochemical potential between two sides of a cell membrane. Ion species including Sodium, Potassium and Chlorine. This simulation would involve Poisson-Nernst-Planck (PNP) system and Hodgkin–Huxley (HH) model. The former gives a standard model for describing behaviors of ionic diffusion and electrophoresis. The latter gives a transformation between mechanism of

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Yang, Shiang-He, and 楊祥鶴. "A simplified second-order Poisson Nernst-Planck model for ion channel." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/18008945036579320589.

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碩士<br>國立交通大學<br>應用數學系所<br>100<br>The Poisson-Nernst-Planck (PNP) model is a basic continuum model for simulating ionic flows in an open ion channel. It is one of commonly used models in theoretical and computational. The Poisson equation is derived from Coulomb's law in electrostatics and Gauss's theorem in calculus. The Nernst-Planck equation is equivalent to the convection-diffussion model. Many computation methods have been constructed for the solution of the PNP equations. However, we want to simplify the second order solver of proposed in the literature [24] but, we must to deal with som

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Huang, Yung-Chih, and 黃永智. "Numerical Results of CaVab Channels by Poisson–Nernst–Planck–Fermi Theory." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/94c8q8.

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碩士<br>國立清華大學<br>應用數學系所<br>105<br>Animal cells have numerous ion channels, each channel controls cellular membrane voltage diﬀerence and allows corresponding ions to pass through the channel by this way to keep the normal physiological function. Because the size of ion channels is too tiny, observing and recording its various data needs a lot of time and expensive equipment. Because of that, we simulate the cation transport through CaVab by using the Poisson-Nernst-Planck-Fermi (PNPF) model. The method can analyze molecular surfaces and singular charges of channel proteins and exhibit important

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Wu, Jian-Min, and 吳建民. "Numerical Results Of TRPV1 Channels By Poisson-Nernst-Planck-Fermi Theory." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/w8kxhz.

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碩士<br>國立清華大學<br>應用數學系所<br>105<br>There are tens of thousands of channels within a typical animal cell in which each channel allows specific ions to pass through and control cellular membrane voltage difference. Since these channels are too small, biologists must observe the channel structure by expensive equipment like special microscope, and it takes a lot of time to get the channel data in biological experiments too. In this paper, we use the Poisson-Nernst-Planck-Fermi model to simulate the case where ions transport through TRPV1. We combine the classical Scharfetter-Gummel method with the

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Chen, Yen-Chen, and 陳彥辰. "Numerical Simulations of Calcium Channel by Poisson–Nernst–Planck–Fermi Model." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/h4zp47.

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Chang, Wei-Chan, and 張偉楨. "Asymptotic Analysis of Steric Poisson-Nernst-Planck Model for Multi-Species Ions." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/dqzb4n.

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碩士<br>國立臺灣大學<br>數學研究所<br>102<br>Poisson-Nernst-Planck system models ionic flow in ion channels. Differ from basic Poisson-Nernst-Planck, steric Poisson-Nernst-Planck accurately describes the behaviour of ions for size effect terms are added into steric Poisson-Nernst-Planck in order to make a description of the fact that ions complete to each other to hold exact spaces in ion channel. The goal in this paper is to analyse the asymptotic behaviour we may say asymptotic stability of steric Poisson-Nernst-Planck. In the text, We make use of the skill for eigenvalues including positive semi-definit

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Hu, Hong-Zhi, and 胡鴻志. "Poisson-Nernst-Planck-Fermi Nonlinear Solver for TRPV1 Channels with Bi-Conjugate Gradient Method." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/57354n.

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Ciou, Mei-Ru, and 邱渼茹. "Asymptotic analysis of the steady-state solution of a Poisson-Nernst-Planck system with steric effects." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/s73s6n.

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碩士<br>國立清華大學<br>應用數學系所<br>106<br>This article is mainly to explore the asymptotic behavior of the Poisson-Nernst-Planck system with steric effects. More specifically, we study the behavior of electrostatic potential energy and ion concentration at the inner and boundary when the Debye length approaches zero. The mathematical results show that this electrostatic potential and concentration tend to zero inside the region, and the slope at the boundary will be infinite, so the ions are mainly concentrated at the boundary.

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Lee, Chiun-Chang, and 李俊璋. "Limit Problems of Solutions for the Coupled Nonlinear Schrödinger Equations and Steady-state Solutions of the Poisson-Nernst-Planck Systems." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/76911253477102290338.

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博士<br>臺灣大學<br>數學研究所<br>98<br>In this thesis, we investigate two different types partial differential equations, one is the coupled nonlinear Schrödinger equations and the other is the renormalize Poisson-Boltzmann equations (the steady-state solutions of the Poisson-Nernst-Planck systems). Recently, a rich variety of dynamical phenomena and a turbulent relaxation have been observed in rotating Bose-Einstein condensates depicted by Gross-Pitaevskii equations coupled with rotating fields and trap potentials. The dynamical phenomena range from shock-wave formation to anisotropic sound propagatio

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Kubeil, Clemens. "Zum Einfluss elektrochemischer Doppelschichten auf den Stofftransport in nanoskaligen Elektrolytsystemen:: Leitfähigkeit von Nanoporen und Voltammetrie an Nanoelektroden." Doctoral thesis, 2016. https://tud.qucosa.de/id/qucosa%3A30154.

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Es besteht enormes Interesse den Stofftransport in nanoskaligen Systemen zu verstehen und selektiv zu steuern, um analytische und synthetische Anwendungen zu entwickeln, aber auch um die physiologischen Prozesse lebender Zellen zu entschlüsseln. Im Rahmen dieser Arbeit wurde der Einfluss der elektrochemischen Doppelschicht an ausgewählten nanoskaligen Elektrolytsystemen untersucht. Die Gleichrichtung von Ionenströmen (engl. Ionic Current Rectification ICR) in Nanoporen mit einer Oberflächenladung äußert sich in einer gekrümmten Strom-Spannungs-Kurve. Die Überlappung von innerem und äußerem Po

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Backhaus, Karsten. "Das dielektrische Verhalten der Öl-Papier-Isolierung bei Belastung mit hoher Gleichspannung." Doctoral thesis, 2016. https://tud.qucosa.de/id/qucosa%3A30546.

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Basierend auf den physikalischen Eigenschaften der unterschiedlichen ölintrinsischen und injizierten Ladungsträger wird ein neues Leitfähigkeitsmodell für Isolieröl und -papier für die Belastung mit hoher Gleichspannung aufgestellt. Das Modell wird mit der Wahl geeigneter Randbedingungen für das elektrische Feld und der Teilchenströme auf die Poisson-Nernst-Planck-Gleichung übertragen. Es steht damit ein Werkzeug zur Verfügung, das dielektrische Verhalten der Öl-Papier-Isolierung zu modellieren, dessen Parameter auf den physikalischen Ladungsträgereigenschaften wie Mobilität und Diffusion basi

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Bzainia, Amir. "Preparation and ionic transport properties of conductive polymers for dye-sensitized solar cells." Master's thesis, 2018. http://hdl.handle.net/10198/19585.

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Dupla diplomação Universite Libre de Tunis (ULT)<br>This work aims to improve the components of the dye-sensitized solar cells (DSSCs) which are a type of photovoltaics that consist mainly of a photoanode, a counter electrode, a light sensitive molecule (sensitizer) and an electrolyte solution that regenerates the solar cell through a redox system. The improvement of the DSSC focuses on the material used for the counter electrode. Usually, it is made out from platinum sputtered on a conductive glass. However, platinum is an expensive metal that is hard to manipulate and can be corroded by the

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Kim, Younggy. "Ionic separation in electrodialysis : analyses of boundary layer, cationic partitioning, and overlimiting current." Thesis, 2010. http://hdl.handle.net/2152/ETD-UT-2010-08-1724.

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Electrodialysis performance strongly depends on the boundary layer near ion exchange membranes. The thickness of the boundary layer has not been clearly evaluated due to its substantial fluctuation around the spacer geometry. In this study, the boundary layer thickness was defined with three statistical parameters: the mean, standard deviation, and correlation coefficient between the two boundary layers facing across the spacer. The relationship between the current and potential under conditions of the competitive transport between mono- and di-valent cations was used to estimate the statistic

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