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We study the effect of different symmetric random field distributions:trimodal and Gaussian on the phase diagram of the infinite range Blume-Capelmodel. For the trimodal random field, the model has a very rich phase diagram.We find three new ordered phases, multicritical points like tricritical point(TCP), bicritical end point (BEP), critical end point (CEP) along with somemulti-phase coexistence points. We also find re-entrance at low temperaturesfor some values of the parameters. On the other hand for the Gaussiandistribution the phase diagram consists of a continuous line of transitionfollowed by a first order transition line, meeting at a TCP. The TCP vanishesfor higher strength of the random field. In contrast to the trimodal case, inGaussian case no new phase emerges.

Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields