The Resource Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)

Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)

Label
Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
Title
Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
Statement of responsibility
by Evgeny Barkhudarov
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Barkhudarov, Evgeny
Dewey number
532
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
D63-jIKBWVU
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 Non-equilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
Instantiates
Publication
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 -- Wilson-Kadanoff Renormalization Group -- Part II Equilibrium Statistical Mechanics - Coulomb Gas -- D-dimensional Coulomb Gas -- Renormalization Group Analysis -- Part III Non-equilibrium 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
10.1007/978-3-319-06154-2
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
  • (DE-He213)978-3-319-06154-2
  • (EXLCZ)993710000000111969
Label
Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems, by Evgeny Barkhudarov, (electronic resource)
Publication
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 -- Wilson-Kadanoff Renormalization Group -- Part II Equilibrium Statistical Mechanics - Coulomb Gas -- D-dimensional Coulomb Gas -- Renormalization Group Analysis -- Part III Non-equilibrium 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
10.1007/978-3-319-06154-2
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
  • (DE-He213)978-3-319-06154-2
  • (EXLCZ)993710000000111969

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