LEADER 04445nam 22007455 450 001 9910300399903321 005 20200701151133.0 010 $a3-319-06154-2 024 7 $a10.1007/978-3-319-06154-2 035 $a(CKB)3710000000111969 035 $a(EBL)1731103 035 $a(OCoLC)885122242 035 $a(SSID)ssj0001247072 035 $a(PQKBManifestationID)11830885 035 $a(PQKBTitleCode)TC0001247072 035 $a(PQKBWorkID)11193499 035 $a(PQKB)11284081 035 $a(MiAaPQ)EBC1731103 035 $a(DE-He213)978-3-319-06154-2 035 $a(PPN)178785342 035 $a(EXLCZ)993710000000111969 100 $a20140509d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRenormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems /$fby Evgeny Barkhudarov 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (168 p.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $aDescription based upon print version of record. 311 $a3-319-06153-4 320 $aIncludes bibliographical references. 327 $aPart 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. 330 $aThis thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length. The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aPhysics 606 $aFluids 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aMathematical physics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aPhysics. 615 0$aFluids. 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 0$aMathematical physics. 615 14$aMathematical Methods in Physics. 615 24$aFluid- and Aerodynamics. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aMathematical Applications in the Physical Sciences. 676 $a530.143 700 $aBarkhudarov$b Evgeny$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791824 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300399903321 996 $aRenormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems$91770462 997 $aUNINA