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978-3-319-06154-2 |
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20151030041349.0 |
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|a 9783319061542
|9 978-3-319-06154-2
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|a 10.1007/978-3-319-06154-2
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|a Barkhudarov, Evgeny.
|e author.
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|a Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
|h [electronic resource] /
|c by Evgeny Barkhudarov.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2014.
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|a XV, 163 p. 28 illus., 10 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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|a 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.
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|a 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.
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|a Physics.
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|a Mathematical physics.
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| 650 |
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|a Fluids.
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| 650 |
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|a Elementary particles (Physics).
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|a Quantum field theory.
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|a Physics.
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|a Mathematical Methods in Physics.
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|a Fluid- and Aerodynamics.
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| 650 |
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|a Elementary Particles, Quantum Field Theory.
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| 650 |
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|a Mathematical Applications in the Physical Sciences.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783319061535
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| 830 |
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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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|u http://dx.doi.org/10.1007/978-3-319-06154-2
|z Full Text via HEAL-Link
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|a ZDB-2-PHA
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|a Physics and Astronomy (Springer-11651)
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