Numerical study of the 6-vertex model with domain wall boundary\n conditions

2005/02/13 by David B. Allison, David Allison, Nicolai Reshetikhin +2 · 1 citation
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0502314

arxiv created 2005/02/13 · openalex publication_date 2005/02/13 · arxiv updated 2009/12/01 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

A Markov process is constructed to numerically study the phase separation in\nthe 6-vertex model with domain wall boundary conditions. It is a random walk on\nthe graph where vertices are states and edges are elementary moves. It\nconverges to the Gibbs measure of the 6-vertex model. Our results show clearly\nthat a droplet of "c" vertices is created when Boltzamnn weights are in the\nantisegnetoelectric region. The droplet is a diamond-like shaped curve with\nfour cusps.\n

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