Correlation inequalities and contour estimates |
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| Authors: | Jean Bricmont Jean-Raymond Fontaine |
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| Institution: | (1) Department of Mathematics, Princeton University, 08544 Princeton, New Jersey;(2) Department of Mathematics, Rutgers University, 08903 New Brunswick, New Jersey |
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| Abstract: | We give a simple estimate on the probability of contours in classical ferromagnetic spin systems, based on Griffiths' or Ginibre's correlation inequalities. This includes quite general one- and two-component spin models. Some extension also holds for alln-component anisotropic or isotropic rotators.Supported by NSF grant No. MCS78-01885.On leave from: Institut de Physique Théorique, Université de Louvain, Belgium.Supported by NSF grant No. PHY78-15920. |
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| Keywords: | Classical spin systems phase transition Peierls' argument |
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