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Systems with absorbing configurations usually lead to a unique stationaryprobability measure called quasi stationary state (QSS) defined with respect tothe survived samples. We show that the birth death diffusion (BBD) processesexhibit universal phases and phase transitions when the birth and death ratesdepend on the instantaneous particle density and their time scales areexponentially separated from the diffusion rates. In absence of birth, thesemodels exhibit non-unique QSSs and lead to an absorbing phase transition (APT)at some critical nonzero death rate; the usual notion of universality is brokenas the critical exponents of APT here depend on the initial densitydistribution.

Nonunique Stationary States and Broken Universality in Birth Death Diffusion Processes