Existence of the limiting mean field dynamics in general equilibrium representations

Autor:	Eberhard Duffner
Rok vydání:	1985
Předmět:	Statistics and Probability Interaction potential Mean field theory General equilibrium theory Mathematical analysis Limiting Finite time Invariant (physics) Condensed Matter Physics Mathematics Mathematical physics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 133:187-212
ISSN:	0378-4371
DOI:	10.1016/0378-4371(85)90063-9
Popis:	The existence of the limiting finite time transformations is proved for a class of discrete mean field models in all states, which are asymptotically permutation invariant. To this end detailed approximation and analyticity properties of the complex many-time Green's functions are worked out. For a rather general class of grand canonical equilibrium states the limiting time transformations are shown to constitute a W∗-automorphism group in the corresponding GNS-von Neumann algebra in spite of the extremely long-range interaction potential and in spite of the center not necessarily being point-wise invariant. Approximation properties for the finite temperature Heisenberg generators are obtained by complex differentiation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cff364de46e9ce0242ce6282c9fdc723 https://doi.org/10.1016/0378-4371(85)90063-9 Zobrazit plný text záznamu