Springer Theses

Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems

Authors: Barkhudarov, Evgeny

  • Nominated as an outstanding Ph.D. thesis by Imperial College London, UK
  • Analysis of Feynman diagrams arising in randomly stirred MHD and Navier-Stokes
  • Detailed application of renormalization group techniques to various problems in modern physics
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  • ISBN 978-3-319-36028-7
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About this book

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.

About the authors

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.

Table of contents (6 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-06154-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-06153-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 27, 2016
  • ISBN 978-3-319-36028-7
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06154-2
DOI
10.1007/978-3-319-06154-2
Hardcover ISBN
978-3-319-06153-5
Softcover ISBN
978-3-319-36028-7
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 163
Number of Illustrations and Tables
18 b/w illustrations, 10 illustrations in colour
Topics