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Statistical mechanics of lattice systems : a concrete mathematical introduction / S. Friedli, Y. Velenik

Publisher	(Cambridge : Cambridge University Press)
Year	2018
Authors	*Friedli, Sacha 1974- author Velenik, Yvan 1970- author

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Links to the text	Location	Volume	Call No.	Barcode No.	Status	Comments	ISBN	Printed	Restriction	Reserve
Links to the text	Library Off-campus access			OB00194669		Cambridge Core (電子ブック)	9781316882603

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Material Type	E-Book
Media type	機械可読データファイル
Size	1 online resource (xix, 622 pages) : digital, PDF file(s)
Notes	Title from publisher's bibliographic system (viewed on 17 Nov 2017) The 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 This 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 HTTP:URL=https://doi.org/10.1017/9781316882603
Subjects	LCSH:Statistical mechanics
Classification	LCC:QC174.8 DC23:530.13
ID	8000093817
ISBN	9781316882603