The statistical mechanics of lattice gases: 1
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
(2014)
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Originally published in 1993 and assigned new ISBN when reissued as a print-on-demand title in 2014 |
| Beschreibung: | IX, 522 Seiten Diagramme |
| ISBN: | 9780691607917 |
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Contents INTRODUCTION I. xi Preliminaries 3 1. Models to be Discussed Appendix to LI. Thermodynamics and the Models of Statistical Mechanics 2. Models Not to be Discussed 3. Convexity Inequalities: Abelian Case 4. Convexity Inequalities: Non-Abelian Case 5. Linear Functionals on Infinite-Dimensional Spaces 6. Legendre Transforms 7. States on C*-Algebras 3 II. The Pressure 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. The Basic Formalism Convergence of the Pressure: Free Boundary Conditions Convergence of the Pressure: Other Boundary Conditions Pressure for Coulomb Interactions Transfer Matrices, I: One Dimension Transfer Matrices, II: Two-Dimensional Ising Model Duality and Other Transformations Appendix to 11.7. Bethe Lattices andthe Bethe Approximation Surface Pressure and Surface Tension Limit Theorem, I: Bishop-de Leeuw Order Limit Theorems, II: Lieb’s Method Limit Theorems, III: 1/D Expansion Ursell Functions 17 19 34 48 58 66 75 97 97 111 117 121 129 136 154 170 173 186 191 195 205
CONTENTS 13. Mean Field Theory 14. Limit Theorems, IV: Mean Field Limit 15. Limit Theorems, V: Potts Model Limit III. States: The Classical Case 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. States Equilibrium States: The DLR Equations Translation Invariant Equilibrium States and Tangent Functionals Entropy and the Gibbs Variational Principle Appendix to ΠΙ.4. The Microcanonical Ensemble Pure States and Pure Phases Ward Identities and the Classical Bogoliubov Inequalities Absence of Continuous Symmetry Breaking in Two Dimensions Energy Shift Estimates The Third Law of Thermodynamics Phase Transitions and Fluctuations of Macroscopic Observables Decay of Correlations in Two-Dimensional Plane Rotors IV. States: The Quantum Case States Entropy and the Gibbs Variational Principle Time Automorphisms Equilibrium States: The KMS Condition Equilibrium States: The Gibbs Condition Appendix to IV.5. KMS Conditions and the Second Law of Thermodynamics 6. Energy Shift Estimates 7. The Inequalities of Bogoliubov and Bruch-Falk 8. Absence of Continuous Symmetry Breaking in Two Dimensions 1. 2. 3. 4. 5. V. High Temperature and Low Densities 1. Dobrushin’s Uniqueness Theorem 2. Analyticity and Decay of Correlations 3. KRVO Distance and Mean Field Theory Bounds on Transition Temperatures 4. Ward Identities and Mean Field Theory Bounds on Transition Temperatures 5. Mean Field Bounds on the Magnetization νι" 216 228 232 235 235 246 254 263 279 282 290 295 303 312 322 330 337 337 344 350 354 366 378 382 387 398 400 400 411 422 429 433
CONTENTS ix 6. Fisher’s Bounds 7. High-Temperature and Small-Fugacity Expansions Appendix to V.7. Combinatorial Aspects of Polymer Expansions 8. Low-Temperature Expansions 9. Detailed Analysis of the Decay of Correlations at Large Temperatures 438 447 464 470 486 REFERENCES 501 INDEX 521 |
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| illustrated | Not Illustrated |
| indexdate | 2025-01-07T11:02:29Z |
| institution | BVB |
| isbn | 9780691607917 |
| language | English |
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| physical | IX, 522 Seiten Diagramme |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Princeton Univ. Press |
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| spelling | Simon, Barry 1946- Verfasser (DE-588)134200195 aut The statistical mechanics of lattice gases 1 Barry Simon Princeton, NJ Princeton Univ. Press (2014) IX, 522 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Originally published in 1993 and assigned new ISBN when reissued as a print-on-demand title in 2014 Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Gittergas (DE-588)4240201-3 gnd rswk-swf Gittergas (DE-588)4240201-3 s Statistische Mechanik (DE-588)4056999-8 s DE-604 (DE-604)BV008381363 1 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035274524&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | The statistical mechanics of lattice gases |
| title_auth | The statistical mechanics of lattice gases |
| title_exact_search | The statistical mechanics of lattice gases |
| title_full | The statistical mechanics of lattice gases 1 Barry Simon |
| title_fullStr | The statistical mechanics of lattice gases 1 Barry Simon |
| title_full_unstemmed | The statistical mechanics of lattice gases 1 Barry Simon |
| title_short | The statistical mechanics of lattice gases |
| title_sort | the statistical mechanics of lattice gases |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Gittergas (DE-588)4240201-3 gnd |
| topic_facet | Statistische Mechanik Gittergas |
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