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The effect of quenched impurities on systems undergoing first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random-field Ising model explains the absence of any latent heat in 2D, and suggests that for d>2 such systems exhibit a tricritical point with an exponent related to those of the random-field model by 0ex{0ex}=0ex{0ex}ₑ₅/ (2-ₑ₅-ₑ₅). In 2D we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a ratio / which varies continuously with q, and a weakly varying exponent 1. We find strong evidence for the multiscaling of the correlation functions.
Cardy et al. (Mon,) studied this question.