Description 
1 online resource 
Series 
Springer Theses, Recognizing Outstanding Ph. D. Research, 21905053 

Springer theses, 21905053

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 
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 
Analysis 
mathematische natuurkunde 

mathematical physics 

kwantumtheorie 

quantum theory 

deeltjes 

particles 

fysica 

physics 

toegepaste wiskunde 

applied mathematics 

aerodynamics 

Physics (General) 

Fysica (algemeen) 
Notes 
"Doctoral thesis accepted by Imperial College London, UK." 

Online resource; title from PDF title page (Ebsco; viewed on May 15, 2014) 
Subject 
Renormalization group.


Equilibrium.


equilibrium (structural analysis concept)


SCIENCE  Energy.


SCIENCE  Mechanics  General.


SCIENCE  Physics  General.


Physique.


Astronomie.


Equilibrium.


Renormalization group.

Form 
Electronic book

ISBN 
9783319061542 

3319061542 

3319061534 

9783319061535 
