Non-cooperative Equilibria of Fermi Systems with Long Range Interactions. (Record no. 69634)
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| 001 - CONTROL NUMBER | |
| control field | EBC3114103 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124600.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2013 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470410032 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821889763 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114103 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114103 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039722 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981556 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC318.T47 -- .B78 2012eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.155732 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bru, J.-B. |
| 245 10 - TITLE STATEMENT | |
| Title | Non-cooperative Equilibria of Fermi Systems with Long Range Interactions. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (173 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.224 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- Part 1 . Main Results and Discussions -- Chapter 1. Fermi Systems on Lattices -- 1.1. Local fermion algebras -- 1.2. States of Fermi systems on lattices -- 1.3. The space-averaging functional Δ_{ } -- 1.4. Local interactions and internal energies -- 1.5. Energy and entropy densities -- Chapter 2. Fermi Systems with Long-Range Interactions -- 2.1. Fermi systems with long-range interactions -- 2.2. Examples of applications -- 2.3. Free-energy densities and existence of thermodynamics -- 2.4. Generalized t.i. equilibrium states -- 2.5. Structure of the set \varOmega_{ }^{♯} of generalized t.i. equilibrium states -- 2.6. Gibbs states versus generalized equilibrium states -- 2.7. Thermodynamics and game theory -- 2.8. Gap equations and effective theories -- 2.9. Long-range interactions and long-range order (LRO) -- 2.10. Concluding remarks -- Part 2 . Complementary Results -- Chapter 3. Periodic Boundary Conditions and Gibbs Equilibrium States -- 3.1. Interaction kernels -- 3.2. Periodic boundary conditions -- 3.3. Pressure and periodic boundary conditions -- 3.4. Gibbs and generalized t.i. equilibrium states -- Chapter 4. The Set _{⃗ℓ} of ⃗ℓ.ℤ^{ }-Invariant States -- 4.1. GNS representation and the von Neumann ergodic theorem -- 4.2. The set ℰ_{⃗ℓ} of extreme states of ℰ_{⃗ℓ} -- 4.3. Properties of the space-averaging functional Δ_{ } -- 4.4. Von Neumann entropy and entropy density of ⃗ℓ-periodic states -- 4.5. The set ₁ as a subset of the dual space ₁* -- 4.6. Well-definiteness of the free-energy densities on _{⃗ℓ} -- Chapter 5. Permutation Invariant Fermi Systems -- 5.1. The set _{Π} of permutation invariant states -- 5.2. Thermodynamics of permutation invariant Fermi systems -- Chapter 6. Analysis of the Pressure via t.i. States -- 6.1. Reduction to discrete finite range models. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.2. Passivity of Gibbs states and thermodynamics -- Chapter 7. Purely Attractive Long-Range Fermi Systems -- 7.1. Thermodynamics of approximating interactions -- 7.2. Structure of the set \mathit{ }_{ }^{♯}=\varOmega_{ }^{♯} of t.i. equilibrium states -- Chapter 8. The max-min and min-max Variational Problems -- 8.1. Analysis of the conservative values _{ }^{♭} and _{ }^{♯} -- 8.2. _{ }^{♭} and _{ }^{♯} as variational problems over states -- Chapter 9. Bogoliubov Approximation and Effective Theories -- 9.1. Gap equations -- 9.2. Breakdown of effective local theories -- Chapter 10. Appendix -- 10.1. Gibbs equilibrium states -- 10.2. The approximating Hamiltonian method -- 10.3. ℒ^{ }-spaces of maps taking values in a Banach space -- 10.4. Compact convex sets and Choquet simplices -- 10.5. Γ-regularization of real functionals -- 10.6. The Legendre-Fenchel transform and tangent functionals -- 10.7. Two-person zero-sum games -- Bibliography -- Index of Notation -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Thermodynamic equilibrium. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Phase rule and equilibrium. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical models. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Nuclear spin. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Long range order (Solid state physics). |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Pedra, W. de Siqueira. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Bru, J.-B. |
| Title | Non-cooperative Equilibria of Fermi Systems with Long Range Interactions |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2013 |
| International Standard Book Number | 9780821889763 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114103">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114103</a> |
| Public note | Click to View |
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