Finite size scaling and critical point exponents of the potts model

Abstract

The calculation of critical exponents by combining finite size scaling and the transfer matrix technique is proposed and applied to the two-dimensional q-state Potts model. The exact results for q = 2 are very accurately reproduced. For q = 3, our results suggest α = 1 3 and δ = 14 . Convergence of our results for q ⩾ 4 is poor but it is suggested that α $ ̆ 1 2 and δ #62 14 for q = 4 . A preliminary result for the dynamical exponent of the stochastic Ising model is reported.