Bricmont, Jean
[UCL]
Kesten, H.
Lebowitz, J.L.
Schonmann, R.H.
The authors consider the /b d/-dimensional Ising model with a nearest neighbor ferromagnetic interaction /b J/(/b d/)=1/4/b d/. They show that as /b d/ rarr infinity the + phase (and the - phase) approaches a product measure with the density given by the mean field approximation. In particular the spontaneous magnetization converges to its mean field value. A similar result holds for the unique Gibbs measure of the system subject to an external field /b h/ ne 0.
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Bibliographic reference |
Bricmont, Jean ; Kesten, H. ; Lebowitz, J.L. ; Schonmann, R.H.. A note on the Ising model in high dimensions. In: Communications in Mathematical Physics, Vol. 122, no. 4, p. 597-607 (1989) |
Permanent URL |
http://hdl.handle.net/2078.1/66342 |