GIBBS MEASURES FOR THE POTTS-SOS MODEL WITH THREE STATES OF SPIN VALUES

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HALIT SAYGILI

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

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How to Cite
SAYGILI, H. (2016). GIBBS MEASURES FOR THE POTTS-SOS MODEL WITH THREE STATES OF SPIN VALUES. Asian Journal of Current Research, 1(3), 114-121. Retrieved from http://ikpress.org/index.php/AJOCR/article/view/260
Section
Original Research Article