Abstract
Publisher Summary This chapter reviews the theoretical results obtained for spin glasses, and concentrates on the presentation of the mean field approach and on its numerical and experimental verifications. The chapter discusses the various hypotheses at the basis of the theory presented and their mathematical and physical status. The study of spin glasses opens a very important window for studying off equilibrium behavior. Spin glasses are the simplest example of glassy systems. The theoretical concepts and the tools developed in the study of spin glasses are on the basis of two logically equivalent, however very different, methods: the algebraic broken replica symmetry method and the probabilistic cavity approach. They have a wide domain of applications. Some of the properties that appear in the mean field approximation, like ultrametricity, are unexpected and counterintuitive. The chapter mostly discusses the mean field approximation for the infinite range Sherrington-Kirkpatrick.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
