The Sherrington-Kirkpatrick Model

• Main Author: Panchenko, Dmitry. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Distribution (Probability theory).; Mathematical physics.; Probability Theory and Stochastic Processes.; Mathematical Physics.; Mathematical Methods in Physics.; Statistical Physics, Dynamical Systems and Complexity.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6289-7

The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi soluti...

Table of Contents:

• Preface
• 1 The Free Energy and Gibbs Measure
• 2 The Ruelle Probability Cascades
• 3 The Parisi Formula
• 4 Toward a Generalized Parisi Ansatz
• A Appendix
• Bibliography
• Notes and Comments
• References
• Index.