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.
Abstract
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 |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (192Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1007/s004400050146 |
| Publisher statement: | The final publication is available at Springer via http://dx.doi.org/10.1007/s004400050146. |
| 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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