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Phase transitions induced by varying the strength of disorder in the large-qstate Potts model in 3d are studied by analytical and numerical methods. Byswitching on the disorder the transition stays of first order, but differentthermodynamical quantities display essential singularities. Only for strongenough disorder the transition will be soften into a second-order one, in whichcase the ordered phase becomes non-homogeneous at large scales, while thenon-correlated sites percolate the sample. In the critical regime the criticalexponents are found universal: \beta/\nu=0.60(2) and \nu=0.73(1).Comment: 4 pages; 3 figure

Disorder-driven phase transitions of the large q -state Potts model in three dimensions