000 02477nam a22003378i 4500
001 CR9781316882603
003 UkCbUP
005 20200124160337.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 160617s2018||||enk o ||1 0|eng|d
020 _a9781316882603 (ebook)
020 _z9781107184824 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.8
_b.F65 2018
082 0 0 _a530.13
_223
100 1 _aFriedli, Sacha,
_d1974-
_eauthor.
245 1 0 _aStatistical mechanics of lattice systems :
_ba concrete mathematical introduction /
_cS. Friedli, Y. Velenik.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xix, 622 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 17 Nov 2017).
505 0 _aThe Curie-Weiss model --The Ising model -- Liquid-vapor equilibrium -- Cluster expansion -- Infinite-volume Gibbs measures -- Pirogov-Sinai theory -- The Gaussian free field on Zd -- Models with continuous symmetry -- Reflection positivity.
520 _aThis motivating textbook gives a friendly, rigorous introduction to fundamental concepts in equilibrium statistical mechanics, covering a selection of specific models, including the Curie-Weiss and Ising models, the Gaussian free field, O(n) models, and models with Kać interactions. Using classical concepts such as Gibbs measures, pressure, free energy, and entropy, the book exposes the main features of the classical description of large systems in equilibrium, in particular the central problem of phase transitions. It treats such important topics as the Peierls argument, the Dobrushin uniqueness, Mermin-Wagner and Lee-Yang theorems, and develops from scratch such workhorses as correlation inequalities, the cluster expansion, Pirogov-Sinai Theory, and reflection positivity. Written as a self-contained course for advanced undergraduate or beginning graduate students, the detailed explanations, large collection of exercises (with solutions), and appendix of mathematical results and concepts also make it a handy reference for researchers in related areas.
650 0 _aStatistical mechanics.
700 1 _aVelenik, Yvan,
_d1970-
_eauthor.
776 0 8 _iPrint version:
_z9781107184824
856 4 0 _uhttps://doi.org/10.1017/9781316882603
999 _c523120
_d523118