Critical distortion of Potts model

摘要

It is shown by developing the previous technique that the criticaldistortion d_c of the q-ary Potts models on a number oflattices is related to the radius of convergence R of the Mayer's seriesby d_c(q-1)R/(1+R). A recursive approach is applied toestimate R as well as d_c by using the matrix representationof the Mayer's series. For those Potts models of which the Mayer'sseries are not available, we derive an unified form of lower bound for d_c