國立虎尾科技大學 |

Statistical mechanics of lattice systems : = a concrete mathematical introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Statistical mechanics of lattice systems :/ S. Friedli, Y. Velenik.
其他題名:	a concrete mathematical introduction /
作者:	Friedli, Sacha,
其他作者:	Velenik, Yvan,
面頁冊數:	1 online resource (xix, 622 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 17 Nov 2017).
標題:	Statistical mechanics. -
電子資源:	https://doi.org/10.1017/9781316882603
ISBN:	9781316882603 (ebook)

Statistical mechanics of lattice systems : = a concrete mathematical introduction /
Friedli, Sacha,1974-

Statistical mechanics of lattice systems :a concrete mathematical introduction /S. Friedli, Y. Velenik. - 1 online resource (xix, 622 pages) :digital, PDF file(s).

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.

ISBN: 9781316882603 (ebook)Subjects--Topical Terms:

676754
Statistical mechanics.

LC Class. No.: QC174.8 / .F65 2018

Dewey Class. No.: 530.13

Statistical mechanics of lattice systems : = a concrete mathematical introduction /
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500 $a Title from publisher's bibliographic system (viewed on 17 Nov 2017).
505 0 $a 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.
520 $a 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.
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