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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-06154-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220114221619.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140509s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319061542 |9 978-3-319-06154-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-06154-2 |2 doi | |
| 050 | 4 | |a QC19.2-20.85 | |
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| 072 | 7 | |a PHU |2 thema | |
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| 100 | 1 | |a Barkhudarov, Evgeny. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems |h [electronic resource] / |c by Evgeny Barkhudarov. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XV, 163 p. 28 illus., 10 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Elementary particles (Physics). | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 1 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Continuum Mechanics. |
| 650 | 2 | 4 | |a Elementary Particles, Quantum Field Theory. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319061559 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319061535 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319360287 |
| 830 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-06154-2 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||