The Hamiltonian version of the three dimensional q-state Potts model is studied by the block transformation method on triangular and square lattices. The transition is found to be of first order when the number q is larger than a critical value. The first order transition, however, is not controlled by a discontinuity fixed point. The critical trajectory is attracted by a point, in which the transformation is discontinuous. The correlation length is finite and there is no time rescaling at the transition point, which therefore represents a first order transition.
|Number of pages||12|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - Apr 1986|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics