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

Allison, David; Reshetikhin, Nicolai

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

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.

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.

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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