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020 _a9783319061542
_9978-3-319-06154-2
024 7 _a10.1007/978-3-319-06154-2
_2doi
035 _ato000543178
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.15
_223
100 1 _aBarkhudarov, Evgeny.
_eauthor.
_9449607
245 1 0 _aRenormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
_helectronic resource
_cby Evgeny Barkhudarov.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXV, 163 p. 28 illus., 10 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
505 0 _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.
520 _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.
650 0 _aphysics.
_9566227
650 0 _aMathematical physics.
_9296775
650 0 _aQuantum theory.
_9304887
650 1 4 _aPhysics.
_9566228
650 2 4 _aMathematical Methods in Physics.
_9296778
650 2 4 _aFluid- and Aerodynamics.
_9410537
650 2 4 _aElementary Particles, Quantum Field Theory.
_9307520
650 2 4 _aMathematical Applications in the Physical Sciences.
_9410541
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_9567110
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-06154-2
912 _aZDB-2-PHA
999 _c400834