The contact process model of nonequilibrium phase transitions into absorbing states are widely used to study turbulent liquid crystals, driven suspensions, superconducting vortex dynamics, bacteria colony biofilms among other systems. We study this transition in the presence of a time-varying environmental noise and show that such temporal disorder gives rise to a distinct class of exotic “infinite-noise” critical points at which the effective noise amplitude diverges on long time scales. This leads to enormous density fluctuations characterized by an infinitely broad probability distribution at criticality.
