Verfügbarkeit: Convexity in the theory of lattice gases

Convexity in the theory of lattice gases: With an introd. by Arthur S. Wightman

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Bibliographische Detailangaben
Beteilige Person:	Israel, Robert B. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Princeton, NJ Princeton Univ. Press 1979
Schriftenreihe:	Princeton series in physics.
Schlagwörter:	Gittergas Konvexität
Links:	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
Umfang:	LXXV, 167 S.: graph. Darst.
ISBN:	069108209X 0691082162

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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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institution	BVB
isbn	069108209X 0691082162
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001476068
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physical	LXXV, 167 S.: graph. Darst.
publishDate	1979
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series2	Princeton series in physics.
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
work_keys_str_mv	AT israelrobertb convexityinthetheoryoflatticegaseswithanintrodbyarthurswightman

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