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

David Allison | Zendy; Nicolai Reshetikhin | Zendy

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

Author(s) -

David Allison,

Nicolai Reshetikhin

Publication year - 2005

Publication title -

annales de l’institut fourier

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.611

H-Index - 57

eISSN - 1777-5310

pISSN - 0373-0956

DOI - 10.5802/aif.2144

Subject(s) - vertex (graph theory) , boundary (topology) , mathematics , vertex model , antiferromagnetism , domain (mathematical analysis) , physics , combinatorics , geometry , statistical physics , condensed matter physics , mathematical analysis , graph

A Markov process is constructed to numerically study the phase separation inthe 6-vertex model with domain wall boundary conditions. It is a random walk onthe graph where vertices are states and edges are elementary moves. Itconverges to the Gibbs measure of the 6-vertex model. Our results show clearlythat a droplet of "c" vertices is created when Boltzamnn weights are in theantisegnetoelectric region. The droplet is a diamond-like shaped curve withfour cusps.

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