SOFTENING TRANSITIONS WITH QUENCHED 2D GRAVITY

We perform extensive Monte Carlo simulations of the 10-state Potts mod el on quenched two-dimensional Phi(3) gravity graphs to study the effe ct of quenched connectivity disorder on the phase transition, which is strongly first order on regular lattices. The numerical data provides strong evidence that, due to the quenched randomness, the discontinuo us first-order phase transition of the pure model is softened to a con tinuous transition.