GIBBS MEASURES FOR THE POTTS-SOS MODEL WITH THREE STATES OF SPIN VALUES
HALIT SAYGILI *
Department of Mathematics, Faculty of Science, Gaziantep University, 27310 Gaziantep, Turkey
*Author to whom correspondence should be addressed.
Abstract
We consider Potts and solid-on-solid model (so called mixed P-SOS model), with spin values which belong to a discrete set such as 0, 1, 2, …, m on an arbitrary branched Cayley tree. For the statement m=2, we obtain a special class of translation-invariant splitting Gibbs measures of the P-SOS model thanks to determining fixed points of a rational function.
Keywords: Gibss measure, P-SOS model, phase transition, fixed point