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001			EBC3114103
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005			20240729124600.0
006			m o d |
007			cr cnu||||||||
008			240724s2013 xx o ||||0 eng d
020			_a9781470410032 _q(electronic bk.)
020			_z9780821889763
035			_a(MiAaPQ)EBC3114103
035			_a(Au-PeEL)EBL3114103
035			_a(CaPaEBR)ebr11039722
035			_a(OCoLC)922981556
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQC318.T47 -- .B78 2012eb
082	0		_a530.155732
100	1		_aBru, J.-B.
245	1	0	_aNon-cooperative Equilibria of Fermi Systems with Long Range Interactions.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2013.
264		4	_c©2012.
300			_a1 online resource (173 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.224
505	0		_aIntro -- 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		_a6.2. 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			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic 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	_aThermodynamic equilibrium.
650		0	_aPhase rule and equilibrium.
650		0	_aMathematical models.
650		0	_aNuclear spin.
650		0	_aLong range order (Solid state physics).
655		4	_aElectronic books.
700	1		_aPedra, W. de Siqueira.
776	0	8	_iPrint version: _aBru, J.-B. _tNon-cooperative Equilibria of Fermi Systems with Long Range Interactions _dProvidence : American Mathematical Society,c2013 _z9780821889763
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114103 _zClick to View
999			_c69634 _d69634