Published 1979 | Version v1
Journal article Metadata-only

Extremal Λ-inequalities for ising models with pair interactions

Creators

  • 1. Rijksuniversiteit Leiden (Netherlands). Instituut Lorentz voor Theoretische Natuurkunde

Description

The inequalities for spin correlation functions of ferromagnetic Ising models with pair interactions derived in a previous paper are studied in more detail. It is shown that each of these inequalities is a positive linear combination of a finite number of 'extremal' inequalities, which can in principle be determined and of which a number of examples is given. (orig.)

Abstract (German)

Die in einer frueheren Abhandlung abgeleiteten Ungleichungen fuer Spin-Korrelations-Funktionen von ferromagnetischen Ising-Modellen mit Paar-Wechselwirkungen werden genauer untersucht. Es wird gezeigt, dass jede dieser Ungleichungen eine positive Linearkombination einer endlichen Anzahl von 'extremalen' Ungleichungen ist, die im Prinzip bestimmt werden kann und von denen eine Reihe von Beispielen gegeben wird. (orig.)

Additional details

Publishing Information

Journal Title
Commun. Math. Phys.
Journal Volume
66
Journal Issue
2
Series
Commun. Math. Phys.
Journal Page Range
167-179
ISSN
0010-3616

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
10481113
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Descriptors DEI
ALGEBRA; CORRELATIONS; FERROMAGNETISM; ISING MODEL; PAIRING INTERACTIONS; PARTITION; PARTITION FUNCTIONS; SPIN
Descriptors DEC
ANGULAR MOMENTUM; CRYSTAL MODELS; FUNCTIONS; INTERACTIONS; MAGNETISM; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE PROPERTIES