Ornstein-Zernike theory for finite range Ising models above T c
Statistical Mechanics (cond-mat.stat-mech)
Probability (math.PR)
0103 physical sciences
FOS: Mathematics
FOS: Physical sciences
Mathematical Physics (math-ph)
60F15, 60K15, 60K35, 82B20, 37C30
0101 mathematics
01 natural sciences
Mathematics - Probability
Condensed Matter - Statistical Mechanics
Mathematical Physics
DOI:
10.1007/s00440-002-0229-z
Publication Date:
2004-10-14T23:18:00Z
AUTHORS (3)
ABSTRACT
We derive precise Ornstein-Zernike asymptotic formula for the decay of the two-point function in the general context of finite range Ising type models on Z^d. The proof relies in an essential way on the a-priori knowledge of the strict exponential decay of the two-point function and, by the sharp characterization of phase transition due to Aizenman, Barsky and Fernandez, goes through in the whole of the high temperature region T > T_c. As a byproduct we obtain that for every T > T_c, the inverse correlation length is an analytic and strictly convex function of direction.<br/>36 pages, 5 figures<br/>
SUPPLEMENTAL MATERIAL
Coming soon ....
REFERENCES (0)
CITATIONS (39)
EXTERNAL LINKS
PlumX Metrics
RECOMMENDATIONS
FAIR ASSESSMENT
Coming soon ....
JUPYTER LAB
Coming soon ....