| 书目名称 | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems | | 编辑 | Evgeny Barkhudarov | | 视频video | | | 概述 | Nominated as an outstanding Ph.D. thesis by Imperial College London, UK.Analysis of Feynman diagrams arising in randomly stirred MHD and Navier-Stokes.Detailed application of renormalization group tec | | 丛书名称 | Springer Theses | | 图书封面 |  | | 描述 | .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 a | | 出版日期 | Book 2014 | | 关键词 | Coulomb Gas; Feynman Diagrams; Functional Integral; Galilean Symmetry; Magnetohydrodynamic Turbulence; Na | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-06154-2 | | isbn_softcover | 978-3-319-36028-7 | | isbn_ebook | 978-3-319-06154-2Series ISSN 2190-5053 Series E-ISSN 2190-5061 | | issn_series | 2190-5053 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 17:22:24
