Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems - Couverture souple
Synopsis
This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.
The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD.
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À propos de l?auteur
Evgeny Barkhudarov studied physics at Imperial College London. Some of his earlier work was done with the Experimental Solid State group at Imperial, however towards the end of the undergraduate degree Evgeny specialized in theoretical physics. Upon completing his MSci in physics with theoretical physics he went on to do a PhD in the Condensed Matter Theory group of the physics department at Imperial College London under supervision of Prof. D. D. Vvedensky. To this day Evgeny is working on application of renormalization group to problems in mathematical physics.
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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
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Springer International Publishing Sep 2016, 2016
ISBN 10 : 3319360280
ISBN 13 : 9783319360287
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD. 180 pp. Englisch. N° de réf. du vendeur 9783319360287
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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
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ISBN 10 : 3319360280
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Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Nominated as an outstanding Ph.D. thesis by Imperial College London, UKAnalysis of Feynman diagrams arising in randomly stirred MHD and Navier-StokesDetailed application of renormalization group techniques to various problems in modern phys. N° de réf. du vendeur 448747202
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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
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Springer, Palgrave Macmillan Sep 2016, 2016
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 180 pp. Englisch. N° de réf. du vendeur 9783319360287
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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
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Springer International Publishing, 2016
ISBN 10 : 3319360280
ISBN 13 : 9783319360287
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD. N° de réf. du vendeur 9783319360287
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