{"product_id":"renormalization-group-analysis-of-equilibrium-and-non-equilibrium-charged-systems-von-evgeny-barkhudarov","title":"Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems","description":"\n                \u003cp\u003eThis 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.\u003c\/p\u003e\n                \u003cp\u003eThe 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.\u003c\/p\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319061535\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319360287\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9783319061535","offer_id":51048838022,"sku":"9783319061535","price":106.99,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783319360287","offer_id":39420316942429,"sku":"9783319360287","price":106.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/627fe750-70e5-4fa0-b8e4-7b3503798b25.jpg?v=1775709385","url":"https:\/\/shop.autorenwelt.de\/products\/renormalization-group-analysis-of-equilibrium-and-non-equilibrium-charged-systems-von-evgeny-barkhudarov","provider":"Autorenwelt Shop","version":"1.0","type":"link"}