Non-cooperative equilibria of Fermi systems with long range interactions / J.-B. Bru, W. de Siqueira Pedra
Type de document : MonographieCollection : Memoirs of the American Mathematical Society, 1052Langue : anglais ; de l'oeuvre originale, anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2013, cop. 2012Description : 1 vol. (XI-155 p.) ; 26 cmISBN: 9780821889763.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 143-145. Index.Sujet MSC : 82B44, Equilibrium statistical mechanics, Disordered systems in equilibrium statistical mechanics82-02, Research exposition (monographs, survey articles) pertaining to statistical mechanics
35Q82, PDEs of mathematical physics and other areas of application, PDEs in connection with statistical mechanics
46L60, Functional analysis, Applications of selfadjoint operator algebras to physics
82B10, Equilibrium statistical mechanics, Quantum equilibrium statistical mechanicsEn-ligne : Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries AMS (Browse shelf(Opens below)) | Available | 12344-01 |
Bibliogr. p. 143-145. Index
In the present monograph is devoted to the systematic study of fermionic quantum models with long-range interactions. It is defined the set of translation invariant femionic quantum models with long-range interactions, and it is shown that forms a Banach space. Main results concern an explicitly study of the structure of generalized equilibrium states for any model belonging to the Banach space. For each model from the Banach space, the provide methods and investigations allow to study and find correlations functions of at equilibrium states. It is also shown that the themodynamics of each considered long-range interactions models is governed by a non-cooperative equilibria of a zero-sum game. (Zentralblatt)
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