The phase transition in a general class of Ising-type models is sharp

Author:

Aizenman M.,Barsky D. J.,Fern�ndez R.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. M. Aizenman, Rigorous studies of critical behavior. II, inStatistical Physics and Dynamical Systems: Rigorous Results, J. Fritz, A. Jaffe, and D. Sz�sz, eds. (Birkh�user, Boston, 1985); Absence of an intermediate phase for a general class of one-component ferromagnetic models,Phys. Rev. Lett. 54: 839?842 (1985).

2. M. Aizenman and D. J. Barsky, Sharpness of the phase transition in percolation models,Commun. Math. Phys. 108:489?526 (1987).

3. M. Aizenman and R. Graham, On the renormalized coupling constant and the susceptibility in ? 4 4 field theory and the Ising model in four dimensions,Nucl. Phys. B 225[FS9]:261?288 (1983).

4. J. Fr�hlich and A. D. Sokal, The random walk representation of classical spin systems and correlation inequalities. III. Nonzero magnetic field, in preparation.

5. J. T. Chayes and L. Chayes, An inequality for the infinite cluster density in Bernoulli percolation,Phys. Rev. Lett. 56:1619?1622 (1986).

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