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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)
Resource Information
The item Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 eng
 Edition
 1st ed. 2014.
 Extent
 1 online resource (168 p.)
 Note
 Description based upon print version of record
 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
 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
 http://library.link/vocab/creatorName
 Barkhudarov, Evgeny
 Dewey number
 532
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 D63jIKBWVU
 Language note
 English
 LC call number
 QC5.53
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 http://library.link/vocab/subjectName

 Mathematical physics
 Quantum theory
 Mathematical Methods in Physics
 Fluid and Aerodynamics
 Elementary Particles, Quantum Field Theory
 Mathematical Applications in the Physical Sciences
 Label
 Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 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
 Dimensions
 unknown
 Edition
 1st ed. 2014.
 Extent
 1 online resource (168 p.)
 Form of item
 online
 Isbn
 9783319061542
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319061542
 Specific material designation
 remote
 System control number

 (CKB)3710000000111969
 (EBL)1731103
 (OCoLC)885122242
 (SSID)ssj0001247072
 (PQKBManifestationID)11830885
 (PQKBTitleCode)TC0001247072
 (PQKBWorkID)11193499
 (PQKB)11284081
 (MiAaPQ)EBC1731103
 (DEHe213)9783319061542
 (EXLCZ)993710000000111969
 Label
 Renormalization Group Analysis of Equilibrium and Nonequilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 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
 Dimensions
 unknown
 Edition
 1st ed. 2014.
 Extent
 1 online resource (168 p.)
 Form of item
 online
 Isbn
 9783319061542
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319061542
 Specific material designation
 remote
 System control number

 (CKB)3710000000111969
 (EBL)1731103
 (OCoLC)885122242
 (SSID)ssj0001247072
 (PQKBManifestationID)11830885
 (PQKBTitleCode)TC0001247072
 (PQKBWorkID)11193499
 (PQKB)11284081
 (MiAaPQ)EBC1731103
 (DEHe213)9783319061542
 (EXLCZ)993710000000111969
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