no. 6
Numerical stu\-dy of the 6-vertex model with domain wall boundary conditions
[Étude numé\-rique du modèle 6-vertex avec des conditions aux limites sur les bords parois des domaines]
Allison, David1 ; Reshetikhin, Nicolai
1 University of California, department of mathematics, Berkeley CA 94720-38 (USA)
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.

DOI : 10.5802/aif.2144
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

Allison, David 1 ; Reshetikhin, Nicolai 

1 University of California, department of mathematics, Berkeley CA 94720-38 (USA) 
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     title = {Numerical stu\-dy of the 6-vertex model with domain wall boundary conditions},
     journal = {Annales de l'Institut Fourier},
     pages = {1847--1869},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {55},
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Allison, David; Reshetikhin, Nicolai. Numerical stu\-dy of the 6-vertex model with domain wall boundary conditions. Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 1847-1869. doi : 10.5802/aif.2144. https://aif.centre-mersenne.org/articles/10.5802/aif.2144/

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