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Title | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems |
Author(s) | Barkhudarov, Evgeny |
Publication | Cham, Springer International Publishing, 2014. |
Description | XV, 163 p. 28 illus., 10 illus. in color : online resource |
Abstract Note | 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 |
ISBN,Price | 9783319061542 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. Fluid- and Aerodynamics
6. FLUIDS
7. Mathematical Applications in the Physical Sciences
8. Mathematical Methods in Physics
9. MATHEMATICAL PHYSICS
10. PHYSICS
11. QUANTUM FIELD THEORY
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Item Type | eBook |
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Call# | Status | Issued To | Return Due On | Physical Location |
I08153 |
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