Perspectives on spin glasses:
Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 210 pages) |
| ISBN: | 9781139049306 |
| DOI: | 10.1017/CBO9781139049306 |
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| 245 | 1 | 0 | |a Perspectives on spin glasses |c Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
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| 505 | 8 | |a 1. Origins, models and motivations -- 2. Correlation inequalities -- 3. The infinite-volume limit -- 4. Exact result for mean field models -- 5. Spin glass identities -- 6. Numerical simulations -- References -- Index | |
| 520 | |a Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems | ||
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Datensatz im Suchindex
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| author | Contucci, Pierluigi 1964- |
| author_facet | Contucci, Pierluigi 1964- |
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| author_sort | Contucci, Pierluigi 1964- |
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| bvnumber | BV043945449 |
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| contents | 1. Origins, models and motivations -- 2. Correlation inequalities -- 3. The infinite-volume limit -- 4. Exact result for mean field models -- 5. Spin glass identities -- 6. Numerical simulations -- References -- Index |
| ctrlnum | (ZDB-20-CBO)CR9781139049306 (OCoLC)967780623 (DE-599)BVBBV043945449 |
| dewey-full | 530.4/12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/12 |
| dewey-search | 530.4/12 |
| dewey-sort | 3530.4 212 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9781139049306 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:23Z |
| institution | BVB |
| isbn | 9781139049306 |
| language | English |
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| spelling | Contucci, Pierluigi 1964- Verfasser aut Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia Cambridge Cambridge University Press 2013 1 online resource (viii, 210 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Origins, models and motivations -- 2. Correlation inequalities -- 3. The infinite-volume limit -- 4. Exact result for mean field models -- 5. Spin glass identities -- 6. Numerical simulations -- References -- Index Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems Mathematisches Modell Spin glasses / Mathematical models Spinglas (DE-588)4138228-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Spinglas (DE-588)4138228-6 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Giardinà, Cristian Sonstige oth Erscheint auch als Druckausgabe 978-0-521-76334-9 https://doi.org/10.1017/CBO9781139049306 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Contucci, Pierluigi 1964- Perspectives on spin glasses 1. Origins, models and motivations -- 2. Correlation inequalities -- 3. The infinite-volume limit -- 4. Exact result for mean field models -- 5. Spin glass identities -- 6. Numerical simulations -- References -- Index Mathematisches Modell Spin glasses / Mathematical models Spinglas (DE-588)4138228-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4138228-6 (DE-588)4114528-8 |
| title | Perspectives on spin glasses |
| title_auth | Perspectives on spin glasses |
| title_exact_search | Perspectives on spin glasses |
| title_full | Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| title_fullStr | Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| title_full_unstemmed | Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| title_short | Perspectives on spin glasses |
| title_sort | perspectives on spin glasses |
| topic | Mathematisches Modell Spin glasses / Mathematical models Spinglas (DE-588)4138228-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematisches Modell Spin glasses / Mathematical models Spinglas |
| url | https://doi.org/10.1017/CBO9781139049306 |
| work_keys_str_mv | AT contuccipierluigi perspectivesonspinglasses AT giardinacristian perspectivesonspinglasses |