Percolation of the minority spins in high-dimensional Ising models |
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| Authors: | M Aizenman J Bricmont J L Lebowitz |
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| Institution: | (1) Courant Institute of Mathematical Sciences, New York University, 10012 New York, New York;(2) Department of Mathematics, Rutgers University, 08550 New Brunswick, New Jersey;(3) Present address: FYMA, B-1348 Louvain la Neuve, Belgium;(4) Departments of Mathematics and Physics, Rutgers University, 08903 New Brunswick, New Jersey |
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| Abstract: | We present some new results on the region in the -h plane where the + spins percolate for the nearest neighbor Ising model. In particular, it is shown that in high enough dimensionsd there is percolation of the minority spins at inverse temperatures<
+ with some
+>c, for which
+/gbc 1/2log(cd),c a constant.On leave from Rutgers University. |
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| Keywords: | Correlated percolation Ising model Peierls argument minority spins |
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