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The effects of bond randomness on the universality aspects of the simplecubic lattice ferromagnetic Blume-Capel model are discussed. The system isstudied numerically in both its first- and second-order phase transitionregimes by a comprehensive finite-size scaling analysis. We find that our datafor the second-order phase transition, emerging under random bonds from thesecond-order regime of the pure model, are compatible with the universalityclass of the 3d random Ising model. Furthermore, we find evidence that, thesecond-order transition emerging under bond randomness from the first-orderregime of the pure model, belongs to a new and distinctive universality class.The first finding reinforces the scenario of a single universality class forthe 3d Ising model with the three well-known types of quenched uncorrelateddisorder (bond randomness, site- and bond-dilution). The second, amounts to astrong violation of universality principle of critical phenomena. For this caseof the ex-first-order 3d Blume-Capel model, we find sharp differences from thecritical behaviors, emerging under randomness, in the cases of theex-first-order transitions of the corresponding weak and strong first-ordertransitions in the 3d three-state and four-state Potts models.

Universality aspects of the d=3 random-bond Blume-Capel model