Skip to main content

Research Repository

Advanced Search

Fluctuations of the phase boundary in the 2D Ising ferromagnet

Dobrushin, R.; Hryniv, O.

Fluctuations of the phase boundary in the 2D Ising ferromagnet Thumbnail


Authors

R. Dobrushin



Abstract

We discuss some statistical properties of the phase boundary in the 2D low-temperature Ising ferromagnet in a box with the two-component boundary conditions. We prove the weak convergence in C[0,1] of measures describing the fluctuations of phase boundaries in the canonical ensemble of interfaces with fixed endpoints and area enclosed below them. The limiting Gaussian measure coincides with the conditional distribution of certain Gaussian process obtained by the integral transformation of the white noise.

Citation

Dobrushin, R., & Hryniv, O. (1997). Fluctuations of the phase boundary in the 2D Ising ferromagnet. Communications in Mathematical Physics, 189(2), 395-445. https://doi.org/10.1007/s002200050209

Journal Article Type Article
Publication Date Nov 1, 1997
Deposit Date Jun 13, 2014
Publicly Available Date Mar 28, 2024
Journal Communications in Mathematical Physics
Print ISSN 0010-3616
Electronic ISSN 1432-0916
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 189
Issue 2
Pages 395-445
DOI https://doi.org/10.1007/s002200050209

Files





You might also like



Downloadable Citations