Penrose-Stable Interactions in Classical Statistical Mechanics

Poghosyan S, Zessin HN (2021)
Annales Henri Poincaré .

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Poghosyan, Suren; Zessin, Hans NorbertUniBi
Abstract / Bemerkung
For a pair potential Phi in a general underlying space X satisfying some natural and sufficiently general conditions in the sense of Penrose (J Math Phys 4:1312, 1963) and Poghosyan and Ueltschi (J Math Phys 50:053509, 2009) together with a locally finite measure rho on X we define by means of the so-called Ursell kernel a function r which is shown to be the correlation function of a unique process G, the limiting Gibbs process for (Phi, rho) with empty boundary conditions. This process is exhibited as a Gibbs process in the sense of Dobrushin, Lanford and Ruelle for a class of pair potentials, which contains classical stable and hard-core potentials that are called Penrose potentials here. Particularly, a class of positive potentials is included. Finally, for some class of Penrose potentials, we show that G is the unique Gibbs process for Phi. We use the classical method of Kirkwood-Salsburg equations. A decisive role is played by a generalization of Ruelle's estimate for correlation functions.
Erscheinungsjahr
2021
Zeitschriftentitel
Annales Henri Poincaré
ISSN
1424-0637
eISSN
1424-0661
Page URI
https://pub.uni-bielefeld.de/record/2957060

Zitieren

Poghosyan S, Zessin HN. Penrose-Stable Interactions in Classical Statistical Mechanics. Annales Henri Poincaré . 2021.
Poghosyan, S., & Zessin, H. N. (2021). Penrose-Stable Interactions in Classical Statistical Mechanics. Annales Henri Poincaré . https://doi.org/10.1007/s00023-021-01098-1
Poghosyan, S., and Zessin, H. N. (2021). Penrose-Stable Interactions in Classical Statistical Mechanics. Annales Henri Poincaré .
Poghosyan, S., & Zessin, H.N., 2021. Penrose-Stable Interactions in Classical Statistical Mechanics. Annales Henri Poincaré .
S. Poghosyan and H.N. Zessin, “Penrose-Stable Interactions in Classical Statistical Mechanics”, Annales Henri Poincaré , 2021.
Poghosyan, S., Zessin, H.N.: Penrose-Stable Interactions in Classical Statistical Mechanics. Annales Henri Poincaré . (2021).
Poghosyan, Suren, and Zessin, Hans Norbert. “Penrose-Stable Interactions in Classical Statistical Mechanics”. Annales Henri Poincaré (2021).

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