Thermodynamic limit of the six-vertex model with reflecting end

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We have found a number of special points where the partition function is directly obtained. We take the homogeneous limit of the Tsuchiya determinant formula of the partition function. This determi...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2015-01, Vol.48 (4), p.45205-12
Hauptverfasser:	Ribeiro, G A P, Korepin, V E
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundaries Determinants domain wall boundary Entropy Free energy Mathematical analysis Mathematical models Partitions six-vertex model thermodynamic limit Thermodynamics
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description	We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We have found a number of special points where the partition function is directly obtained. We take the homogeneous limit of the Tsuchiya determinant formula of the partition function. This determinant formula satisfies the bidimensional Toda equation. We exploit this fact in order to take the thermodynamic limit and obtain the free energy of the six-vertex model with reflecting end. We successfully determined the free energy and entropy in the disordered regime.
doi_str_mv	10.1088/1751-8113/48/4/045205
format	Article
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subjects	Boundaries Determinants domain wall boundary Entropy Free energy Mathematical analysis Mathematical models Partitions six-vertex model thermodynamic limit Thermodynamics
title	Thermodynamic limit of the six-vertex model with reflecting end
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