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

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Published: 2016-12-26

Page: 114-121


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


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 https://ikprress.org/index.php/AJOCR/article/view/260

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