Ornstein-Zernike Theory for the finite range Ising models above T_c

Details Ornstein-Zernike Theory for the finite range Ising models above T_c Ornstein-Zernike Theory for the finite range Ising models above T_c

2001-11-27

arxiv.org/abs/math/0111274v1

Probab. Theory Relat. Fields, Vol. 125, Nr. 3 (2003) , p. 305--349

Mathematics

Probability

36 pages, 5 figures

Scientific paper

10.1007/s00440-002-0229-z

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.

Affiliated with

Also associated with

No associations

Rating

Ornstein-Zernike Theory for the finite range Ising models above T_c does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ornstein-Zernike Theory for the finite range Ising models above T_c, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ornstein-Zernike Theory for the finite range Ising models above T_c will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-252565