DOI: 10.1209/epl/i2003-00344-9
Europhys. Lett., 62 (2) , pp. 182-188 (2003)

Rigorous nonperturbative Ornstein-Zernike theory for Ising ferromagnets

M. Campanino¹, D. Ioffe² and Y. Velenik<sup>3

1</sup>  Dipartimento di Matematica, Università di Bologna piazza di Porta S. Donato 5, I-40126 Bologna, Italy
²  Faculty of Industrial Engineering, Technion - Haifa 3200, Israel
³  UMR-CNRS 6632, CMI - 39 rue Joliot Curie, 13453 Marseille, France

campanin@dm.unibo.it
ieioffe@ie.technion.ac.il
velenik@cmi.univ-mrs.fr

(Received 11 October 2002; accepted in final form 12 February 2003)

Abstract
We rigorously derive the Ornstein-Zernike asymptotics of the pair-correlation functions for finite-range Ising ferromagnets in any dimensions and at any temperature above critical.

PACS
05.20.-y - Classical statistical mechanics.
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
02.50.Cw - Probability theory.

© EDP Sciences 2003

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