By Evgeny Barkhudarov
This thesis has elements, every one in line with an software of the renormalization-group (RG). the 1st half is an research of the d-dimensional Coulomb gasoline. The target used to be to figure out if the Wilson RG may supply enter into particle-in-cell simulations in plasma physics, that are the most kin of simulation tools utilized in this box. The function of the RG used to be to spot the influence of coarse-graining at the coupling constants as a functionality of the cut-offs. The RG calculation reproduced proven effects, yet in a extra concise shape, and confirmed the impression of the cut-offs at the Debye screening length.
The major a part of the thesis is the appliance of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, that is a symmetrisation of the unique equations, the answer is gifted as a useful quintessential, consisting of stirring forces, their conjugates and sensible Jacobian. The coarse-graining of the practical necessary is represented as a diagrammatic enlargement, by means of rescaling, and casting the implications into differential equations for the research of RG trajectories. particular comparisons are made with the Navier-Stokes restrict and with prior calculations for MHD.
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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems (Springer Theses) by Evgeny Barkhudarov