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Statistical mechanics of lattice systemsa concrete mathematical introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Statistical mechanics of lattice systemsS. Friedli, Y. Velenik.
其他題名:	a concrete mathematical introduction /
作者:	Friedli, Sacha.
其他作者:	Velenik, Yvan.
出版者:	Cambridge :Cambridge University Press,2018.
面頁冊數:	xix, 622 p. :ill., digital ;24 cm.
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$q(electronic bk.)

Statistical mechanics of lattice systemsa concrete mathematical introduction /
Friedli, Sacha.

Statistical mechanics of lattice systemsa concrete mathematical introduction /[electronic resource] :S. Friedli, Y. Velenik. - Cambridge :Cambridge University Press,2018. - xix, 622 p. :ill., digital ;24 cm.

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 Ka? 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$q(electronic bk.)Subjects--Topical Terms:

191064
Statistical mechanics.

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

Dewey Class. No.: 530.13

Statistical mechanics of lattice systemsa concrete mathematical introduction /
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245 1 0 $a Statistical mechanics of lattice systems $h [electronic resource] : $b a concrete mathematical introduction / $c S. Friedli, Y. Velenik.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xix, 622 p. : $b ill., digital ; $c 24 cm.
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 Ka? 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 $a Statistical mechanics. $3 191064
700 1 $a Velenik, Yvan. $3 930272
856 4 0 $u https://doi.org/10.1017/9781316882603