TY  - BOOK
AU  - Contucci,Pierluigi
AU  - Giardinà,Cristian
TI  - Perspectives on spin glasses
SN  - 9781139049306 (ebook)
AV  - QC176.8.S68 C667 2013
U1  - 530.4/12 23
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Spin glasses
KW  - Mathematical models
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9781139049306
ER  -