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RENORMALIZATION GROUP ANALYSIS OF EQUILIBRIUM

AND NON-EQUILIBRIUM CHARGED SYSTEMS


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Sinopse

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.

Detalhes do Produto

    • Formato:  ePub
    • Subtítulo:  AND NON-EQUILIBRIUM CHARGED SYSTEMS
    • Origem:  IMPORTADO
    • Editora: SPRINGER
    • Coleção:  Springer Theses
    • Assunto: Ciências Exatas - Física
    • Idioma: INGLÊS
    • Ano de Edição: 2014
    • Ano:  2016
    • País de Produção: Canada
    • Código de Barras:  2001026395598
    • ISBN:  9783319061542

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