TY - BOOK ID - 700435 TI - Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems PY - 2014 SN - 3319061542 3319061534 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Renormalization group KW - Equilibrium (Economics) KW - History. KW - DGE (Economics) KW - Disequilibrium (Economics) KW - DSGE (Economics) KW - Dynamic stochastic general equilibrium (Economics) KW - Economic equilibrium KW - General equilibrium (Economics) KW - Partial equilibrium (Economics) KW - SDGE (Economic theory) KW - Economics KW - Statics and dynamics (Social sciences) KW - Group, Renormalization KW - Quantum field theory KW - Statistical mechanics KW - Mathematical physics. KW - Quantum theory. KW - Mathematical Methods in Physics. KW - Fluid- and Aerodynamics. KW - Elementary Particles, Quantum Field Theory. KW - Mathematical Applications in the Physical Sciences. KW - Physical mathematics KW - Physics KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Mechanics KW - Thermodynamics KW - Mathematics KW - Physics. KW - Fluids. KW - Elementary particles (Physics). KW - Quantum field theory. KW - Relativistic quantum field theory KW - Field theory (Physics) KW - Quantum theory KW - Relativity (Physics) KW - Elementary particles (Physics) KW - High energy physics KW - Nuclear particles KW - Nucleons KW - Nuclear physics KW - Hydraulics KW - Hydrostatics KW - Permeability KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:700435 AB - 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. ER -