Convexity in the Theory of Lattice Gases.:
In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Ar...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2015.
|
| Schriftenreihe: | Princeton series in physics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and historical perspective on convexity in statistical mechanics and thermodynamics. Professor Israel then reviews the general framework of the theory of lattice gases. In addition to presenting new and more direct proofs of some known results, he uses. |
| Beschreibung: | Contents. |
| Beschreibung: | 1 online resource (257 pages) |
| ISBN: | 9781400868421 1400868424 |
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| 520 | |a In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and historical perspective on convexity in statistical mechanics and thermodynamics. Professor Israel then reviews the general framework of the theory of lattice gases. In addition to presenting new and more direct proofs of some known results, he uses. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics -- |t I. Interactions -- |t II. Tangent Functionals and the Variational Principle -- |t III. DLR Equations and KMS Conditions -- |t IV. Decomposition of States -- |t V. Approximation by Tangent Functionals: Existence of Phase Transitions -- |t VI. The Gibbs Phase Rule -- |t APPENDIX [Alpha]. Hausdorff Measure and Dimension -- |t APPENDIX B. Classical Hard-Core Continuous Systems -- |t BIBLIOGRAPHY -- |t INDEX -- |t Backmatter. |
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| 650 | 0 | |a Convex domains. |0 http://id.loc.gov/authorities/subjects/sh85031727 | |
| 650 | 0 | |a Statistical mechanics. |0 http://id.loc.gov/authorities/subjects/sh85127571 | |
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| contents | Frontmatter -- CONTENTS -- INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics -- I. Interactions -- II. Tangent Functionals and the Variational Principle -- III. DLR Equations and KMS Conditions -- IV. Decomposition of States -- V. Approximation by Tangent Functionals: Existence of Phase Transitions -- VI. The Gibbs Phase Rule -- APPENDIX [Alpha]. Hausdorff Measure and Dimension -- APPENDIX B. Classical Hard-Core Continuous Systems -- BIBLIOGRAPHY -- INDEX -- Backmatter. |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:28Z |
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| language | English |
| oclc_num | 902958227 |
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| series2 | Princeton Series in Physics |
| spelling | Israel, Robert B. Convexity in the Theory of Lattice Gases. Princeton : Princeton University Press, 2015. 1 online resource (257 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file Princeton Series in Physics Print version record. Contents. In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and historical perspective on convexity in statistical mechanics and thermodynamics. Professor Israel then reviews the general framework of the theory of lattice gases. In addition to presenting new and more direct proofs of some known results, he uses. Frontmatter -- CONTENTS -- INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics -- I. Interactions -- II. Tangent Functionals and the Variational Principle -- III. DLR Equations and KMS Conditions -- IV. Decomposition of States -- V. Approximation by Tangent Functionals: Existence of Phase Transitions -- VI. The Gibbs Phase Rule -- APPENDIX [Alpha]. Hausdorff Measure and Dimension -- APPENDIX B. Classical Hard-Core Continuous Systems -- BIBLIOGRAPHY -- INDEX -- Backmatter. In English. Lattice gas. http://id.loc.gov/authorities/subjects/sh85074987 Convex domains. http://id.loc.gov/authorities/subjects/sh85031727 Statistical mechanics. http://id.loc.gov/authorities/subjects/sh85127571 Statistical thermodynamics. http://id.loc.gov/authorities/subjects/sh85127576 Natural Sciences. Physics, other. Physics. Physik. Gaz réticulaires. Algèbres convexes. Mécanique statistique. Thermodynamique statistique. SCIENCE Physics General. bisacsh SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh Convex domains fast Lattice gas fast Statistical mechanics fast Statistical thermodynamics fast has work: Convexity in the theory of lattice gases (Text) https://id.oclc.org/worldcat/entity/E39PCXj97qfBKrBV8vDWwX9CHy https://id.oclc.org/worldcat/ontology/hasWork Print version: Israel, Robert B. Convexity in the Theory of Lattice Gases. Princeton : Princeton University Press, ©2015 Princeton series in physics. http://id.loc.gov/authorities/names/n42032469 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=946717 Volltext 505-00/(S Frontmatter -- CONTENTS -- INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics -- I. Interactions -- II. Tangent Functionals and the Variational Principle -- III. DLR Equations and KMS Conditions -- IV. Decomposition of States -- V. Approximation by Tangent Functionals: Existence of Phase Transitions -- VI. The Gibbs Phase Rule -- APPENDIX Α. Hausdorff Measure and Dimension -- APPENDIX B. Classical Hard-Core Continuous Systems -- BIBLIOGRAPHY -- INDEX -- Backmatter. |
| spellingShingle | Israel, Robert B. Convexity in the Theory of Lattice Gases. Princeton series in physics. Frontmatter -- CONTENTS -- INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics -- I. Interactions -- II. Tangent Functionals and the Variational Principle -- III. DLR Equations and KMS Conditions -- IV. Decomposition of States -- V. Approximation by Tangent Functionals: Existence of Phase Transitions -- VI. The Gibbs Phase Rule -- APPENDIX [Alpha]. Hausdorff Measure and Dimension -- APPENDIX B. Classical Hard-Core Continuous Systems -- BIBLIOGRAPHY -- INDEX -- Backmatter. Lattice gas. http://id.loc.gov/authorities/subjects/sh85074987 Convex domains. http://id.loc.gov/authorities/subjects/sh85031727 Statistical mechanics. http://id.loc.gov/authorities/subjects/sh85127571 Statistical thermodynamics. http://id.loc.gov/authorities/subjects/sh85127576 Natural Sciences. Physics, other. Physics. Physik. Gaz réticulaires. Algèbres convexes. Mécanique statistique. Thermodynamique statistique. SCIENCE Physics General. bisacsh SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh Convex domains fast Lattice gas fast Statistical mechanics fast Statistical thermodynamics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85074987 http://id.loc.gov/authorities/subjects/sh85031727 http://id.loc.gov/authorities/subjects/sh85127571 http://id.loc.gov/authorities/subjects/sh85127576 |
| title | Convexity in the Theory of Lattice Gases. |
| title_alt | Frontmatter -- CONTENTS -- INTRODUCTION. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics -- I. Interactions -- II. Tangent Functionals and the Variational Principle -- III. DLR Equations and KMS Conditions -- IV. Decomposition of States -- V. Approximation by Tangent Functionals: Existence of Phase Transitions -- VI. The Gibbs Phase Rule -- APPENDIX [Alpha]. Hausdorff Measure and Dimension -- APPENDIX B. Classical Hard-Core Continuous Systems -- BIBLIOGRAPHY -- INDEX -- Backmatter. |
| title_auth | Convexity in the Theory of Lattice Gases. |
| title_exact_search | Convexity in the Theory of Lattice Gases. |
| title_full | Convexity in the Theory of Lattice Gases. |
| title_fullStr | Convexity in the Theory of Lattice Gases. |
| title_full_unstemmed | Convexity in the Theory of Lattice Gases. |
| title_short | Convexity in the Theory of Lattice Gases. |
| title_sort | convexity in the theory of lattice gases |
| topic | Lattice gas. http://id.loc.gov/authorities/subjects/sh85074987 Convex domains. http://id.loc.gov/authorities/subjects/sh85031727 Statistical mechanics. http://id.loc.gov/authorities/subjects/sh85127571 Statistical thermodynamics. http://id.loc.gov/authorities/subjects/sh85127576 Natural Sciences. Physics, other. Physics. Physik. Gaz réticulaires. Algèbres convexes. Mécanique statistique. Thermodynamique statistique. SCIENCE Physics General. bisacsh SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh Convex domains fast Lattice gas fast Statistical mechanics fast Statistical thermodynamics fast |
| topic_facet | Lattice gas. Convex domains. Statistical mechanics. Statistical thermodynamics. Natural Sciences. Physics, other. Physics. Physik. Gaz réticulaires. Algèbres convexes. Mécanique statistique. Thermodynamique statistique. SCIENCE Physics General. SCIENCE Energy. SCIENCE Mechanics General. Convex domains Lattice gas Statistical mechanics Statistical thermodynamics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=946717 |
| work_keys_str_mv | AT israelrobertb convexityinthetheoryoflatticegases |