By Evgeny Barkhudarov
ISBN-10: 3319061534
ISBN-13: 9783319061535
ISBN-10: 3319360280
ISBN-13: 9783319360287
This thesis has components, every one according to an software of the renormalization-group (RG). the 1st half is an research of the d-dimensional Coulomb gasoline. The aim used to be to figure out if the Wilson RG may provide enter into particle-in-cell simulations in plasma physics, that are the most relatives of simulation equipment utilized in this box. The function of the RG was once to spot the influence of coarse-graining at the coupling constants as a functionality of the cut-offs. The RG calculation reproduced confirmed effects, yet in a extra concise shape, and confirmed the influence of the cut-offs at the Debye screening length.
The major a part of the thesis is the applying 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 practical fundamental, which include stirring forces, their conjugates and useful Jacobian. The coarse-graining of the useful imperative is represented as a diagrammatic growth, by way 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 past calculations for MHD.
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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems (Springer Theses) by Evgeny Barkhudarov
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