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Titlebook: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems; Evgeny Barkhudarov Book 2014 Springer International Pub

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書目名稱Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
編輯Evgeny Barkhudarov
視頻videohttp://file.papertrans.cn/828/827146/827146.mp4
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
叢書名稱Springer Theses
圖書封面Titlebook: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems;  Evgeny Barkhudarov Book 2014 Springer International Pub
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
關(guān)鍵詞Coulomb Gas; Feynman Diagrams; Functional Integral; Galilean Symmetry; Magnetohydrodynamic Turbulence; Na
版次1
doihttps://doi.org/10.1007/978-3-319-06154-2
isbn_softcover978-3-319-36028-7
isbn_ebook978-3-319-06154-2Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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沙發(fā)
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板凳
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-Dimensional Coulomb GasAs was discussed in the previous chapter, renormalization group serves as a very powerfull tool in the study of strong interactions and fluctutations, which occur near continuous phase transitions.
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Recursion Relations and Fixed Point AnalysisWe begin our discussion of the RG equations by considering neutral fluids with no magnetic interactions.
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ConclusionIn the context of equilibrium statistical mechanics we have successfully applied an irreducible RG method to the d-dimensional Coulomb gas. The lattice model serves as a convenient starting point for the functional integral formulation of the problem.
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