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008 | 160915s2014 gw | s |||| 0|eng d | ||
020 |
_a9783319061542 _9978-3-319-06154-2 |
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024 | 7 |
_a10.1007/978-3-319-06154-2 _2doi |
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035 | _ato000543178 | ||
040 |
_aSpringer _cSpringer _dRU-ToGU |
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_aSCI040000 _2bisacsh |
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_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. |
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300 |
_aXV, 163 p. 28 illus., 10 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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650 | 0 |
_aMathematical physics. _9296775 |
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650 | 0 |
_aQuantum theory. _9304887 |
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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 |
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773 | 0 | _tSpringer eBooks | |
830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _9567110 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-06154-2 |
912 | _aZDB-2-PHA | ||
999 | _c400834 |