Solution of the Kasteleyn model on a~half-plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 114-123
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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.
@article{TMF_1988_75_1_a9,
author = {E. I. Kornilov and V. B. Priezzhev},
title = {Solution of the {Kasteleyn} model on a~half-plane},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {114--123},
publisher = {mathdoc},
volume = {75},
number = {1},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a9/}
}
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/