000 02365nam a22003378i 4500
001 CR9781139049306
003 UkCbUP
005 20200124160326.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110307s2013||||enk o ||1 0|eng|d
020 _a9781139049306 (ebook)
020 _z9780521763349 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC176.8.S68
_bC667 2013
082 0 0 _a530.4/12
_223
100 1 _aContucci, Pierluigi,
_d1964-
_eauthor.
245 1 0 _aPerspectives on spin glasses /
_cPierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia.
264 1 _aCambridge :
_bCambridge University Press,
_c2013.
300 _a1 online resource (viii, 210 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. 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.
520 _aPresenting 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.
650 0 _aSpin glasses
_xMathematical models.
700 1 _aGiardinà, Cristian,
_eauthor.
776 0 8 _iPrint version:
_z9780521763349
856 4 0 _uhttps://doi.org/10.1017/CBO9781139049306
999 _c522211
_d522209