The two-dimensional $q$ -state Potts model is studied through the variations in cluster size depending on temperature and the number of states $q$ , using cluster algorithm. It is observed that cluster related measurables give evidence for the order of the transition at smaller lattice sizes than energy and during early iterations of the Monte Carlo simulation.The two-dimensional $q$-state Potts model is studied through the variations in cluster size depending on temperature and the number of states $q$, using cluster algorithm. It is observed that cluster related measurables give evidence for the order of the transition at smaller lattice sizes than energy and during early iterations of the Monte Carlo simulation.

TURKISH JOURNAL OF PHYSICSJan 1, 19970 citations

Three-state Potts-model spin glasses on hypercubic lattices

Rajiv R. P. Singh

We develop high-temperature expansions for the Edwards-Anderson susceptibility of the \ifmmode\pm\else\textpm\fi{}J three-state Potts spin glasses on d-dimensional hypercubic lattices. For d\ensuremath{\ge}6, d log Pad\'e approximant analysis yields a second-order phase transition with an exponent \ensuremath{\gamma} consistent with the mean-field value of unity. In lower dimensions the extrapolations are not convergent enough to extract the critical behavior. In d=3, the series are analyzed assuming various finite- and zero-temperature transitions and their consistency with available Monte Carlo data is studied.We develop high-temperature expansions for the Edwards-Anderson susceptibility of the \ifmmode\pm\else\textpm\fi{}J three-state Potts spin glasses on d-dimensional hypercubic lattices. For d\ensuremath{\ge}6, d log Pad\'e approximant analysis yields a second-order phase transition with an exponent \ensuremath{\gamma} consistent with the mean-field value of unity. In lower dimensions the extrapolations are not convergent enough to extract the critical behavior. In d=3, the series are analyzed assuming various finite- and zero-temperature transitions and their consistency with available Monte Carlo data is studied.

Physical review. B, Condensed matterMar 1, 199111 citations

Study of cluster fluctuations in the two-dimensional q-state Potts model

Meral Aydin, Yiğit Gündüç, Tarik Çelik

arXiv:hep-lat/9702001Physica A Statistical Mechanics and its ApplicationsSep 1, 199610 citations

Monte Carlo simulation for the quantum q-state Potts model

C. Y. Pan

Journal of Magnetism and Magnetic MaterialsFeb 1, 19920 citations

The two-dimensional

q

-state Potts model is studied through the variations in cluster size depending on temperature and the number of states

q

, using cluster algorithm. It is observed that cluster related measurables give evidence for the order of the transition at smaller lattice sizes than energy and during early iterations of the Monte Carlo simulation.