Abstract
We analyze the critical behaviour of the 3-d, 3-state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 70 3 we determine the critical endpoint of the line of first order phase transitions as ( β c , h c )=(0.54938(2),0.000775(10)). We determine the relevant temperature like and symmetry breaking directions at this second order critical point and explicitly verify that it is in the universality class of the 3-d Ising model.
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