Dobrushin, R. and Hryniv, O. (1997) 'Fluctuations of the phase boundary in the 2D Ising ferromagnet.', Communications in mathematical physics., 189 (2). pp. 395-445.
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.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1007/s002200050209|
|Publisher statement:||The final publication is available at Springer via http://dx.doi.org/10.1007/s002200050209.|
|Date accepted:||No date available|
|Date deposited:||13 June 2014|
|Date of first online publication:||November 1997|
|Date first made open access:||No date available|
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