Binary tree summation Monte Carlo simulation for Potts models

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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9 pages, 2 figures, for StatPhys-Taiwan 2002 conference

Scientific paper

10.1016/S0378-4371(02)01794-6

In this talk, we briefly comment on Sweeny and Gliozzi methods, cluster Monte Carlo method, and recent transition matrix Monte Carlo for Potts models. We mostly concentrate on a new algorithm known as "binary tree summation". Some of the most interesting features of this method will be highlighted - such as simulating fractional number of Potts states, as well as offering the partition function and thermodynamic quantities as functions of temperature in a single run.

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