William David McComb (, School of Physics, University of Edinburgh,

Renormalization Methods

A Guide for Beginners

• Broschiertes Buch

Produktbeschreibung

There is currently widespread interest in applications of renormalization methods to various topics ranging from fluid turbulence to fluctuations in the stock market. This book is unique in demystifying this material for non-specialists.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 350
• Erscheinungstermin: 15. November 2007
• Englisch
• Abmessung: 244mm x 170mm x 19mm
• Gewicht: 622g
• ISBN-13: 9780199236527
• ISBN-10: 0199236526
• Artikelnr.: 23023170

Autorenporträt

Professor William David McComb Professor of Statistical Physics University of Edinburgh Senior Scientific Officer, Theoretical Physics Division, Atomic Energy Research Establishment, Harwell (1969-71). Lecturer, Reader and Professor, Edinburgh University (1971-present time). Guest Professor, Technical University of Delft, Netherlands (August-November 1997). Visiting Fellow, Wolfson College, Cambridge (January-July 1999).

Inhaltsangabe

What is renormalization?
1: The bedrock problem: why we need renormalization methods
2: Easy applications of renormalization group (RG) to simple models
3: Mean-field theories for simple models
Renormalized perturbation theories (RPT)
4: Perturbation theory using a control parameter
5: Classical nonlinear systems driven by random noise
6: Application of RPT to turbulence and related problems
Renormalization group
7: Setting the scene: critical phenomena
8: Real-space RG
9: Momentum-space RG
10: Field-theoretic RG
11: Dynamical RG applied to classical nonlinear systems
Appendices
A: Statistical ensembles
B: From statistical mechanics to thermodynamics
C: Exact solutions in one and two dimensions
D: Quantum treatment of the Hamiltonian N-body assembly
E: Generalization of the Bogoliubov variational method to a spatially-varying magnetic field