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Renormalization group analysis of equilibrium and non-equilibrium charged systems Evgeny Barkhudarov
Springer Nature - Springer Physics and Astronomy (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Barkhudarov, Evgeny, author.
- Series:
- Springer theses 2190-5053
- Springer Theses, Recognizing Outstanding Ph. D. Research 2190-5053
- Language:
- English
- Subjects (All):
- Renormalization group.
- Equilibrium.
- Quantum Theory.
- equilibrium (structural analysis concept).
- Medical Subjects:
- Quantum Theory.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cham Springer 2014
- Language Note:
- English
- Summary:
- 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
- Contents:
- 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
- Notes:
- "Doctoral thesis accepted by Imperial College London, UK"
- Online resource; title from PDF title page (Ebsco; viewed on May 15, 2014)
- Includes bibliographical references
- Other Format:
- Printed edition:
- ISBN:
- 9783319061542
- 3319061542
- 3319061534
- 9783319061535
- OCLC:
- 879669920
- Access Restriction:
- Restricted for use by site license
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