Perspectives on Spin Glasses

1. Auflage 2012
ISBN: 978-0-521-76334-9
Verlag: Cambridge University Press

Buch, Englisch, 217 Seiten, Format (B × H): 170 mm x 249 mm, Gewicht: 544 g

Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems.

Autoren/Hrsg.

Contucci, Pierluigi

Giardinà, Cristian

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Elektromagnetismus Magnetismus
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

1. Origins, models and motivations; 2. Correlation inequalities; 3. The infinite-volume limit; 4. Exact result for mean field models; 5. Spin glass identities; 6. Numerical simulations; References; Index.

Über Autor(innen)

Contucci, Pierluigi
Pierluigi Contucci is Professor of Mathematical Physics at the University of Bologna and Research Director for the hard sciences section of the Istituto Cattaneo. His research interests are in statistical mechanics and its applications to socio-economic sciences.

Giardinà, Cristian
Cristian Giardinà is Associate Professor in Mathematical Physics at the University of Modena and Reggio Emilia and Visiting Professor in Probability at Nijmegen University. His research interests are in mathematical statistical physics and stochastic processes.