04445nam 22007455 450 991030039990332120200701151133.03-319-06154-210.1007/978-3-319-06154-2(CKB)3710000000111969(EBL)1731103(OCoLC)885122242(SSID)ssj0001247072(PQKBManifestationID)11830885(PQKBTitleCode)TC0001247072(PQKBWorkID)11193499(PQKB)11284081(MiAaPQ)EBC1731103(DE-He213)978-3-319-06154-2(PPN)178785342(EXLCZ)99371000000011196920140509d2014 u| 0engur|n|---|||||txtccrRenormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems /by Evgeny Barkhudarov1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (168 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.3-319-06153-4 Includes bibliographical references.Part I Renormalization Group -- Historical Overview -- Wilson-Kadanoff Renormalization Group -- Part II Equilibrium Statistical Mechanics - Coulomb Gas -- D-dimensional Coulomb Gas -- Renormalization Group Analysis -- Part III Non-equilibrium Statistical Mechanics - Randomly Stirred Magnetohydrodynamics -- Turbulent Flows -- Recursion Relations and Fixed Point Analysis.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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053PhysicsFluidsElementary particles (Physics)Quantum field theoryMathematical physicsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Physics.Fluids.Elementary particles (Physics).Quantum field theory.Mathematical physics.Mathematical Methods in Physics.Fluid- and Aerodynamics.Elementary Particles, Quantum Field Theory.Mathematical Applications in the Physical Sciences.530.143Barkhudarov Evgenyauthttp://id.loc.gov/vocabulary/relators/aut791824MiAaPQMiAaPQMiAaPQBOOK9910300399903321Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems1770462UNINA