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Author Barkhudarov, Evgeny, author

Title Renormalization group analysis of equilibrium and non-equilibrium charged systems / Evgeny Barkhudarov
Published Cham : Springer, 2014


Description 1 online resource
Series Springer Theses, Recognizing Outstanding Ph. D. Research, 2190-5053
Springer theses, 2190-5053
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
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
Analysis mathematische natuurkunde
mathematical physics
quantum theory
toegepaste wiskunde
applied mathematics
Physics (General)
Fysica (algemeen)
Notes "Doctoral thesis accepted by Imperial College London, UK."
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (Ebsco; viewed on May 15, 2014)
In Springer eBooks
Subject Renormalization group.
Quantum Theory
equilibrium (structural analysis concept)
SCIENCE -- Energy.
SCIENCE -- Mechanics -- General.
SCIENCE -- Physics -- General.
Renormalization group
Form Electronic book
ISBN 9783319061542