Convexity in the theory of lattice gases: With an introd. by Arthur S. Wightman
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1979
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| Schriftenreihe: | Princeton series in physics.
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | LXXV, 167 S.: graph. Darst. |
| ISBN: | 069108209X 0691082162 |
Internformat
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| 100 | 1 | |a Israel, Robert B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Convexity in the theory of lattice gases |b With an introd. by Arthur S. Wightman |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1979 | |
| 300 | |a LXXV, 167 S.: graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804116702165729280 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION ix
I. INTERACTIONS
1.1. Classical lattice systems 3
1.2. The pressure 7
1.3. Quantum lattice systems 15
1.4. Physical equivalence of interactions 22
II. TANGENT FUNCTIONALS AND THE VARIATIONAL PRINCIPLE
II. 1. P bounded functionals 32
11.2. The mean entropy 37
11.3. The variational principle 46
III. DLR EQUATIONS AND KMS CONDITIONS
III. 1. The DLR equations 55
III. 2. Invariant equilibrium states and the DLR equations 59
III.3. Time evolution and the KMS conditions 64
III. 4. Physical equivalence and strict convexity 74
III.5. The KMS condition for classical interactions 79
IV. DECOMPOSITION OF STATES
IV. 1. Ergodic states 83
IV. 2. Non commutative ergodic theory 85
IV.3. Integral representations 93
IV.4. Orthogonal decomposition 105
V. APPROXIMATION BY TANGENT FUNCTIONALS:
EXISTENCE OF PHASE TRANSITIONS
V.I. The theorem of Bishop and Phelps 112
V.2. Anti phase transitions in 35 116
V.3. Existence of phase transitions 120
VI. THE GIBBS PHASE RULE
VI. 1. Baire category, Hausdorff dimension and the phase rule 130
VI.2. Some point set topology 134
VI. 3. Proof of the phase rule 138
vii
viii CONTENTS
APPENDIX A. Hausdorff Measure and Dimension 143
APPENDIX B. Classical Hard Core Continuous Systems 153
BIBLIOGRAPHY 163
INDEX 166
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| id | DE-604.BV002246061 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:42Z |
| institution | BVB |
| isbn | 069108209X 0691082162 |
| language | English |
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| physical | LXXV, 167 S.: graph. Darst. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Princeton Univ. Press |
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| series2 | Princeton series in physics. |
| spelling | Israel, Robert B. Verfasser aut Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman Princeton, NJ Princeton Univ. Press 1979 LXXV, 167 S.: graph. Darst. txt rdacontent n rdamedia nc rdacarrier Princeton series in physics. Gittergas (DE-588)4240201-3 gnd rswk-swf Konvexität (DE-588)4114284-6 gnd rswk-swf Gittergas (DE-588)4240201-3 s Konvexität (DE-588)4114284-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476068&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Israel, Robert B. Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman Gittergas (DE-588)4240201-3 gnd Konvexität (DE-588)4114284-6 gnd |
| subject_GND | (DE-588)4240201-3 (DE-588)4114284-6 |
| title | Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman |
| title_auth | Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman |
| title_exact_search | Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman |
| title_full | Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman |
| title_fullStr | Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman |
| title_full_unstemmed | Convexity in the theory of lattice gases With an introd. by Arthur S. Wightman |
| title_short | Convexity in the theory of lattice gases |
| title_sort | convexity in the theory of lattice gases with an introd by arthur s wightman |
| title_sub | With an introd. by Arthur S. Wightman |
| topic | Gittergas (DE-588)4240201-3 gnd Konvexität (DE-588)4114284-6 gnd |
| topic_facet | Gittergas Konvexität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476068&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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