Renormalization Methods

A Guide For Beginners

William David McComb

3 pages, parution le 06/02/2004

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Résumé

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, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.

Readership: Aimed at final-year undergraduate, postgraduate and research physicists. Also of interest to applied mathematicians, fluid dynamicists, mechanical and chemical engineers, and physical chemists.

Easy introduction to the use of renormalization methods.
Bridges the gap between elementary texts and advanced texts on statistical field theory and critical phenomena.
Uses only basic physics and mathematics; accessible to a wide readership of scientists, engineers and mathematicians.
Addresses deep fundamental concepts whilst remaining a careful exposition for students of all levels of ability.
Supplemented with exercises and appendices to give a complete understanding of the main text.

L'auteur - William David McComb

School of Physics, University of Edinburgh, UK

Sommaire

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

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	William David McComb
Parution	06/02/2004
Nb. de pages	3
Format	17 x 24,5
Couverture	Relié
Poids	800g
Intérieur	Noir et Blanc
EAN13	9780198506942
ISBN13	978-0-19-850694-2