The Resource Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
 Summary
 This thesis has two parts, each based on an application of the renormalizationgroup (RG). The first part is an analysis of the ddimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particleincell 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 coarsegraining on the coupling constants as a function of the cutoffs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cutoffs 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 coarsegraining 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 NavierStokes limit and with previous calculations for MHD
 Language
 eng
 Extent
 XV, 163 p. 28 illus., 10 illus. in color.
 Contents

 Part I Renormalization Group
 Historical Overview
 WilsonKadanoff Renormalization Group
 Part II Equilibrium Statistical Mechanics  Coulomb Gas
 Ddimensional Coulomb Gas
 Renormalization Group Analysis
 Part III Nonequilibrium Statistical Mechanics  Randomly Stirred Magnetohydrodynamics
 Turbulent Flows
 Recursion Relations and Fixed Point Analysis
 Isbn
 9783319061542
 Label
 Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems
 Title
 Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems
 Statement of responsibility
 by Evgeny Barkhudarov
 Language
 eng
 Summary
 This thesis has two parts, each based on an application of the renormalizationgroup (RG). The first part is an analysis of the ddimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particleincell 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 coarsegraining on the coupling constants as a function of the cutoffs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cutoffs 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 coarsegraining 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 NavierStokes limit and with previous calculations for MHD
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 Label
 Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Part I Renormalization Group  Historical Overview  WilsonKadanoff Renormalization Group  Part II Equilibrium Statistical Mechanics  Coulomb Gas  Ddimensional Coulomb Gas  Renormalization Group Analysis  Part III Nonequilibrium Statistical Mechanics  Randomly Stirred Magnetohydrodynamics  Turbulent Flows  Recursion Relations and Fixed Point Analysis
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 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3556765'}
 Extent
 XV, 163 p. 28 illus., 10 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319061542
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
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