Numerical stu\-dy of the 6-vertex model with domain wall boundary conditions

Allison, David; Reshetikhin, Nicolai

Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 1847-1869.

Nous construisons un processus de Markov qui converge vers un état aléatoire du modèle 6- vertex. Ensuite, nous l’utilisons pour faire apparaître la création dans la phase antiferromagnétique d’une goutelette constituée de sommets de type $c$ et dont la forme possède 4 pointes.

A Markov process converging to a random state of the 6-vertex model is constructed. It is used to show that a droplet of c-vertices is created in the antiferromagnetic phase and that the shape of this droplet has four cusps.

Classification : 82-08, 82B20, 82B23
Keywords: 6-vertex, Markov chain, random sampling, Monte Carlo
Mot clés : 6-vertex, chaîne de Markov, échantillonnage aléatoire, Monte Carlo

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