| Description |
1 online resource |
| Series |
Springer Theses, Recognizing Outstanding Ph. D. Research, 2190-5053 |
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Springer theses, 2190-5053
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| Contents |
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 |
| Summary |
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 |
| Analysis |
mathematische natuurkunde |
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mathematical physics |
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kwantumtheorie |
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quantum theory |
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deeltjes |
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particles |
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fysica |
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physics |
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toegepaste wiskunde |
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applied mathematics |
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aerodynamics |
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Physics (General) |
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Fysica (algemeen) |
| Notes |
"Doctoral thesis accepted by Imperial College London, UK." |
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Online resource; title from PDF title page (Ebsco; viewed on May 15, 2014) |
| Subject |
Renormalization group.
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Equilibrium.
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equilibrium (structural analysis concept)
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SCIENCE -- Energy.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Physics -- General.
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Physique.
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Astronomie.
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Equilibrium.
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Renormalization group.
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| Form |
Electronic book
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| ISBN |
9783319061542 |
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3319061542 |
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3319061534 |
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9783319061535 |
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