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The entropy of the six-vertex model with a variety of different boundary conditions

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Author(s):
Tavares, T. S. ; Ribeiro, G. A. P. ; Korepin, V. E.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 31-pg., 2015-06-01.
Abstract

We study the dependence of entropy [per lattice site] of six-vertex model on boundary conditions. We start with lattices of finite size and then proceed to thermodynamic limit. We argue that the six-vertex model with periodic, anti-periodic and mixed boundary conditions produce the same free-energy in the thermodynamic limit. We have found fixed boundary conditions such that the entropy varies continuously from zero to its value for periodic boundary condition. We have also shown that the physical quantities of the six-vertex model at the isotropic point does not change in the case of singular toroidal boundary. (AU)

FAPESP's process: 12/24514-0 - Thermodynamics and correlation function of integrable models
Grantee:Giuliano Augustus Pavan Ribeiro
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 13/17338-4 - Physical properties of one-dimensional spin chains
Grantee:Thiago Silva Tavares
Support Opportunities: Scholarships in Brazil - Doctorate