Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets

M. Campanino , D. Ioffe , Y. Velenik (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]; Mécanique statistique [cond-mat.stat-mech]

M. Campanino, D. Ioffe, Y. Velenik. Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets. EPL - Europhysics Letters, 2003, 62 numéro 2, pp.182-188. ⟨hal-00121147⟩