The Theory of Critical Phenomena

Erscheinungsjahr 1992
ISBN: 978-0-19-851393-3
Verlag: OUP Oxford

Buch, Englisch, 476 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 723 g

The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory.

This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.

Autoren/Hrsg.

Binney, J. J.

Fisher, A. J.

Newman, Mark

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Introduction; Statistical mechanics; Models; Numerical simulations; Real-space renormalization; Mean-field theory; The Landau-Ginzburg model; Diagrammatic perturbation theory; Renormalization; The calculation of critical exponents for T>TC; The renormalization group; The renormalization group at T/=c; The lower critical dimension; Universality; Appendices.