Renormalization group analysis of equilibrium and non-equilibrium charged systems /

Renormalization group analysis of equilibrium and non-equilibrium charged systems /

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Bibliographic Details
Author / Creator:	Barkhudarov, Evgeny, author.
Imprint:	Cham : Springer, 2014.
Description:	1 online resource.
Language:	English
Series:	Springer Theses, Recognizing Outstanding Ph. D. Research, 2190-5053 Springer theses,
Subject:	Renormalization group. Equilibrium. Equilibrium. Renormalization group.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11085062

Hidden Bibliographic Details
ISBN:	9783319061542 3319061542 3319061534 9783319061535 9783319061535
Notes:	"Doctoral thesis accepted by Imperial College London, UK." Online resource; title from PDF title page (Ebsco; viewed on May 15, 2014).
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.
Other form:	Printed edition: 9783319061535
Standard no.:	10.1007/978-3-319-06154-2

Table of 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.