Dr Ostap Hryniv ostap.hryniv@durham.ac.uk
Associate Professor
On local behaviour of the phase separation line in the 2D Ising model
Hryniv, Ostap
Authors
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.
Citation
Hryniv, O. (1998). On local behaviour of the phase separation line in the 2D Ising model. Probability Theory and Related Fields, 110(1), 91-107. https://doi.org/10.1007/s004400050146
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 1998 |
Deposit Date | Jun 13, 2014 |
Publicly Available Date | Jun 13, 2014 |
Journal | Probability Theory and Related Fields |
Print ISSN | 0178-8051 |
Electronic ISSN | 1432-2064 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 110 |
Issue | 1 |
Pages | 91-107 |
DOI | https://doi.org/10.1007/s004400050146 |
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Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s004400050146.
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