Geometric Predictions of Scaling at Tricritical Points
Alex Hankey, Harry Eugene Stanley, Tom Chang · Physical Review Letters · 1972
The shapes of the three critical lines meeting at a tricritical point are discussed in the light of the homogeneity hypothesis. We give a complete listing of possible shapes consistent with scaling. Certain possible geometries are thereby shown to be inconsistent with scaling. Application of these ideas to the crossover regions is shown to considerably simplify the "metric problem" posed by Riedel.