Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
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| Schriftenreihe: | Springer Theses
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| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319061542 |
| DOI: | 10.1007/978-3-319-06154-2 |
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Datensatz im Suchindex
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| adam_text | RENORMALIZATION GROUP ANALYSIS OF EQUILIBRIUM AND NON-EQUILIBRIUM
CHARGED SYSTEMS
/ BARKHUDAROV, EVGENY
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
RENORMALIZATION GROUP ANALYSIS OF EQUILIBRIUM AND NON-EQUILIBRIUM
CHARGED SYSTEMS
/ BARKHUDAROV, EVGENY
: 2014
ABSTRACT / INHALTSTEXT
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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Barkhudarov, Evgeny Verfasser aut Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems Evgeny Barkhudarov Cham [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Theses Zugl.: London, Imperial College , Diss. Mathematische Physik Quantentheorie Mathematical physics Quantum theory Physics (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Druckausgabe 978-3-319-06153-5 https://doi.org/10.1007/978-3-319-06154-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027364889&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027364889&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Barkhudarov, Evgeny Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems Mathematische Physik Quantentheorie Mathematical physics Quantum theory Physics |
| subject_GND | (DE-588)4113937-9 |
| title | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems |
| title_auth | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems |
| title_exact_search | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems |
| title_full | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems Evgeny Barkhudarov |
| title_fullStr | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems Evgeny Barkhudarov |
| title_full_unstemmed | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems Evgeny Barkhudarov |
| title_short | Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems |
| title_sort | renormalization group analysis of equilibrium and non equilibrium charged systems |
| topic | Mathematische Physik Quantentheorie Mathematical physics Quantum theory Physics |
| topic_facet | Mathematische Physik Quantentheorie Mathematical physics Quantum theory Physics Hochschulschrift |
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