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On local behaviour of the phase separation line in the 2D Ising model.

Hryniv, Ostap (1998) 'On local behaviour of the phase separation line in the 2D Ising model.', Probability theory and related fields., 110 (1). pp. 91-107.


The aim of this note is to discuss some statistical properties of the phase separation line in the 2D low-temperature Ising model. We prove the functional central limit theorem for the probability distributions describing fluctuations of the phase boundary in the direction orthogonal to its orientation. The limiting Gaussian measure corresponds to a scaled Brownian bridge with direction dependent parameters. Up to the temperature factor, the variances of local increments of this limiting process are inversely proportional to the stiffness.

Item Type:Article
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Date accepted:No date available
Date deposited:13 June 2014
Date of first online publication:January 1998
Date first made open access:No date available

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