Geodesic
Solution of the Kasteleyn model on a half-plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 114-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the Kasteleyn model, which is the simplest model of the phase transition of two-dimensional crystalline systems into a homogeneous incommensurate phase. An exact solution of this model on the half-plane is obtained. A dependence of the thermodynamic properties of the system of domain walls on the distance to the boundary is found. At small deviations $\tau$ from the critical temperature, the density of the domain walls behaves as $\tau^{3/2}$ near the boundary and $\tau^{1/2}$ far from it. 
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E. I. Kornilov; V. B. Priezzhev. Solution of the Kasteleyn model on a half-plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 114-123. http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a9/

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