Renormalization group analysis of equilibrium and non-equilibrium charged systems /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2014.
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| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research
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| Subjects: | |
| Online Access: | Click here to view the full text content |
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| 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. |
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| Physical Description: | 1 online resource (XV, 163 pages) 28 illustration, 10 illustration in colour. |
| ISBN: | 9783319061542 |
| ISSN: | 2190-5053 |