A geometric interpretation of the roughening transition in Ising models |
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| Authors: | Ross Graham |
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| Institution: | (1) Program in Applied Mathematics, Princeton University, 08544 Princeton, New Jersey;(2) Present address: Defence Research Establishment Atlantic, P.O. Box 1012, B2Y 3Z7 Dartmouth, Nova Scotia, Canada |
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| Abstract: | Progress in the area of the Ising model roughening transition has previously been limited by the lack of a good definition for the interface separating the pure phases. In the present work, a graphical definition is introduced and it is shown that roughening occurs precisely when this interface fluctuates to infinity. |
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| Keywords: | Roughening transition Ising model |
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