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Author: Giovanni Manfredi
Publisher:
ISBN:
Category :
Languages : fr
Pages : 177
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Book Description
LE MODELE DE VLASOV-POIRRON EST UTILISE POUR ETUDIER L'EXPANSION DANS LE VIDE D'UN PLASMA A DEUX COMPOSANTES. L'ETUDE FAIT INTERVENIR DES TECHNIQUES A LA FOIS NUMERIQUES (CODES DITS EULERIENS) ET ANALYTIQUES (TRANSFORMATION DE REDIMENSIONNEMENT). SELON LA GEOMETRIE DE L'EXPANSION, ON MONTRE L'APPARITION DE DOUBLES COUCHES CHARGEES, OU BIEN LA NEUTRALISATION DU PLASMA. LA VALIDITE DES MODELES HYDRODYNAMIQUES EST AUSSI DISCUTEE. L'EXPANSION DANS LE VIDE EST ENSUITE ETUDIEE POUR UN PLASMA QUANTIQUE (MODELE DE SCHRODINGER-POISSON), A UNE ET DEUX ESPECES, POUR DIFFERENTES GEOMETRIES. NOUS ANALYSONS LA MANIERE DONT CES SYSTEMES APPROCHENT LEUR LIMITE CLASSIQUE. CES RESULTATS SONT ETENDUS A DES SYSTEMES CONFINES (GAZ D'ELECTRONS DANS UN CHAMP MAGNETIQUE UNIFORME), POUR LESQUELS NOUS AVONS DEVELOPPE UN CODE POUR LA RESOLUTION DES EQUATIONS DE SCHRODINGER-POISSON A DEUX DIMENSIONS SPATIALES. UN TROISIEME MODELE QUE NOUS ABORDONS EST CELUI DE WIGNER (REPRESENTATION DE LA MECANIQUE QUANTIQUE DANS L'ESPACE DES PHASES). NOUS ETUDIONS QUELQUES PROPRIETES ANALYTIQUES DES FONCTIONS DE WIGNER (DEFINITION D'UNE ENTROPIE, LISSAGE PAR CONVOLUTION). CES CONCEPTS SONT APPLIQUES A L'ETUDE NUMERIQUE D'UN OSCILLATEUR QUANTIQUE NON LINEAIRE
Author: Giovanni Manfredi
Publisher:
ISBN:
Category :
Languages : fr
Pages : 177
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Book Description
LE MODELE DE VLASOV-POIRRON EST UTILISE POUR ETUDIER L'EXPANSION DANS LE VIDE D'UN PLASMA A DEUX COMPOSANTES. L'ETUDE FAIT INTERVENIR DES TECHNIQUES A LA FOIS NUMERIQUES (CODES DITS EULERIENS) ET ANALYTIQUES (TRANSFORMATION DE REDIMENSIONNEMENT). SELON LA GEOMETRIE DE L'EXPANSION, ON MONTRE L'APPARITION DE DOUBLES COUCHES CHARGEES, OU BIEN LA NEUTRALISATION DU PLASMA. LA VALIDITE DES MODELES HYDRODYNAMIQUES EST AUSSI DISCUTEE. L'EXPANSION DANS LE VIDE EST ENSUITE ETUDIEE POUR UN PLASMA QUANTIQUE (MODELE DE SCHRODINGER-POISSON), A UNE ET DEUX ESPECES, POUR DIFFERENTES GEOMETRIES. NOUS ANALYSONS LA MANIERE DONT CES SYSTEMES APPROCHENT LEUR LIMITE CLASSIQUE. CES RESULTATS SONT ETENDUS A DES SYSTEMES CONFINES (GAZ D'ELECTRONS DANS UN CHAMP MAGNETIQUE UNIFORME), POUR LESQUELS NOUS AVONS DEVELOPPE UN CODE POUR LA RESOLUTION DES EQUATIONS DE SCHRODINGER-POISSON A DEUX DIMENSIONS SPATIALES. UN TROISIEME MODELE QUE NOUS ABORDONS EST CELUI DE WIGNER (REPRESENTATION DE LA MECANIQUE QUANTIQUE DANS L'ESPACE DES PHASES). NOUS ETUDIONS QUELQUES PROPRIETES ANALYTIQUES DES FONCTIONS DE WIGNER (DEFINITION D'UNE ENTROPIE, LISSAGE PAR CONVOLUTION). CES CONCEPTS SONT APPLIQUES A L'ETUDE NUMERIQUE D'UN OSCILLATEUR QUANTIQUE NON LINEAIRE
Author: Pierre Bertrand
Publisher: John Wiley & Sons
ISBN: 1119662842
Category : Science
Languages : en
Pages : 220
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Book Description
The Vlasov equation is the master equation which provides a statistical description for the collective behavior of large numbers of charged particles in mutual, long-range interaction. In other words, a low collision (or “Vlasov”) plasma. Plasma physics is itself a relatively young discipline, whose “birth” can be ascribed to the 1920s. The origin of the Vlasov model, however, is even more recent, dating back to the late 1940s. This “young age” is due to the rare occurrence of Vlasov plasma on Earth, despite the fact it characterizes most of the visible matter in the universe. This book – addressed to students, young researchers and to whoever wants a good understanding of Vlasov plasmas – discusses this model with a pedagogical presentation, focusing on the general properties and historical development of the applications of the Vlasov equation. The milestone developments discussed in the first two chapters serve as an introduction to more recent works (characterization of wave propagation and nonlinear properties of the electrostatic limit).
Author: Kamel Ourabah
Publisher: John Wiley & Sons
ISBN: 1786307693
Category : Science
Languages : en
Pages : 196
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Book Description
The Universe is made up of systems consisting of a very large number of particles interacting in a very complex way. When studying these systems, a precise microscopic approach is unattainable. In practice, the best strategy is one that is able to “distinguish” between superfluous information and the information needed to make predictions about the evolution of the system. There are two main competing approaches: kinetic and hydrodynamic. Collective Phenomena in Plasmas and Elsewhere presents an overview of the theoretical bases of these kinetic and hydrodynamic approaches, but also discusses their limitations, the links between them and their extension to quantum mechanics and relativity. These methods were born in part out of the study of plasmas, but they also have more universal applications. A general framework for these approaches is outlined, followed by some applications in plasmas, gravitation, Bose–Einstein condensates and dark matter. Particular emphasis is placed on the analogies that can be made between all these different systems.
Author: Jean-Loup Delcroix
Publisher: L'Editeur : EDP Sciences
ISBN: 9782729605001
Category : Plasma (Ionized gases)
Languages : fr
Pages : 499
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Book Description
Author: Fernando Haas
Publisher: Springer Science & Business Media
ISBN: 1441982019
Category : Science
Languages : en
Pages : 215
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Book Description
This book provides an overview of the basic concepts and new methods in the emerging scientific area known as quantum plasmas. In the near future, quantum effects in plasmas will be unavoidable, particularly in high density scenarios such as those in the next-generation intense laser-solid density plasma experiment or in compact astrophysics objects. Currently, plasmas are in the forefront of many intriguing questions around the transition from microscopic to macroscopic modeling of charged particle systems. Quantum Plasmas: an Hydrodynamic Approach is devoted to the quantum hydrodynamic model paradigm, which, unlike straight quantum kinetic theory, is much more amenable to investigate the nonlinear realm of quantum plasmas. The reader will have a step-by-step construction of the quantum hydrodynamic method applied to plasmas. The book is intended for specialists in classical plasma physics interested in methods of quantum plasma theory, as well as scientists interested in common aspects of two major areas of knowledge: plasma and quantum theory. In these chapters, the quantum hydrodynamic model for plasmas, which has continuously evolved over the past decade, will be summarized to include both the development and applications of the method.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 860
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Book Description
Author: Mark Fannes
Publisher: Springer Science & Business Media
ISBN: 1461524601
Category : Science
Languages : en
Pages : 467
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Book Description
This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
Author: M. Capitelli
Publisher: Springer Science & Business Media
ISBN: 3662041588
Category : Science
Languages : en
Pages : 302
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Book Description
Emphasis is placed on the analysis of translational, rotational, vibrational and electronically excited state kinetics, coupled to the electron Boltzmann equation.
Author: S. Friedlander
Publisher: Gulf Professional Publishing
ISBN: 008053354X
Category : Science
Languages : en
Pages : 627
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Book Description
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author: Pavel Bóna
Publisher: Springer Nature
ISBN: 3030450708
Category : Science
Languages : en
Pages : 243
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Book Description
This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.The first possibility consists in exploiting the geometrical properties of the set of quantum pure states of "microsystems" and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number of interacting subsystems – i.e. macrosystems, so as to study the quantum mechanics of an infinite number of degrees of freedom and to look for the behaviour of their collective variables. The final chapter contains some solvable models of “quantum measurement" describing dynamical transitions from "microsystems" to "macrosystems".
