Statistical mechanics of lattice systems: a concrete mathematical introduction
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...
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| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBM01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 17 Nov 2017) |
| Beschreibung: | 1 online resource (xix, 622 pages) |
| ISBN: | 9781316882603 |
| DOI: | 10.1017/9781316882603 |
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Datensatz im Suchindex
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| author | Friedli, Sacha 1974- Velenik, Yvan 1970- |
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| bvnumber | BV044727957 |
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| dewey-full | 530.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
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| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/9781316882603 |
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| id | DE-604.BV044727957 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:00:31Z |
| institution | BVB |
| isbn | 9781316882603 |
| language | English |
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| physical | 1 online resource (xix, 622 pages) |
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| publishDate | 2018 |
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| publisher | Cambridge University Press |
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| spelling | Friedli, Sacha 1974- (DE-588)1148761934 aut Statistical mechanics of lattice systems a concrete mathematical introduction S. Friedli, Y. Velenik Cambridge Cambridge University Press 2018 1 online resource (xix, 622 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 17 Nov 2017) 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 Statistical mechanics Gitterdynamik (DE-588)4157376-6 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Gittermodell (DE-588)4226961-1 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Gitterdynamik (DE-588)4157376-6 s DE-604 Gittermodell (DE-588)4226961-1 s 1\p DE-604 Velenik, Yvan 1970- (DE-588)1148762272 aut Erscheint auch als Druck-Ausgabe 9781107184824 https://doi.org/10.1017/9781316882603 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Friedli, Sacha 1974- Velenik, Yvan 1970- Statistical mechanics of lattice systems a concrete mathematical introduction Statistical mechanics Gitterdynamik (DE-588)4157376-6 gnd Statistische Mechanik (DE-588)4056999-8 gnd Gittermodell (DE-588)4226961-1 gnd |
| subject_GND | (DE-588)4157376-6 (DE-588)4056999-8 (DE-588)4226961-1 |
| title | Statistical mechanics of lattice systems a concrete mathematical introduction |
| title_auth | Statistical mechanics of lattice systems a concrete mathematical introduction |
| title_exact_search | Statistical mechanics of lattice systems a concrete mathematical introduction |
| title_full | Statistical mechanics of lattice systems a concrete mathematical introduction S. Friedli, Y. Velenik |
| title_fullStr | Statistical mechanics of lattice systems a concrete mathematical introduction S. Friedli, Y. Velenik |
| title_full_unstemmed | Statistical mechanics of lattice systems a concrete mathematical introduction S. Friedli, Y. Velenik |
| title_short | Statistical mechanics of lattice systems |
| title_sort | statistical mechanics of lattice systems a concrete mathematical introduction |
| title_sub | a concrete mathematical introduction |
| topic | Statistical mechanics Gitterdynamik (DE-588)4157376-6 gnd Statistische Mechanik (DE-588)4056999-8 gnd Gittermodell (DE-588)4226961-1 gnd |
| topic_facet | Statistical mechanics Gitterdynamik Statistische Mechanik Gittermodell |
| url | https://doi.org/10.1017/9781316882603 |
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