Abstract
Based on the connection between the q-state Potts model (QPM) and a q-state bond-correlated percolation model (QBCPM), we use the histogram Monte Carlo simulation method to calculate the free energy F e , the internal energy U, and the specific heat C h of the QPM on the honeycomb, the square, the Kagome, and the plane triangular lattices and for q being 2–5, where q = 2 corresponds to the Ising model. Our results for the Ising model agree very well with exact results for thermodynamic systems when the temperature is away from the critical temperature.
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