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Systems with absorbing (trapped) states may exhibit a nonequilibrium phasetransition from a noise-free inactive phase into an ever-lasting active phase.We briefly review the absorbing critical phenomena and universality classes,and discuss over the controversial issues on the pair contact process withdiffusion (PCPD). Two different approaches are proposed to clarify itsuniversality issue, which unveil strong evidences that the PCPD belongs to anew universality class other than the directed percolation class.

Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion