Universality class of absorbing transitions with continuously varying critical exponents

A pair contact process with diffusion (PCPD), with a parameter controlling the long-term memory effect was analyzed. It was shown that a generalized version of the PCPD (GPCPD) connects the directed percolation (DP) fixed point to the PCPD point continuously. The nature of the absorbing phase transitions for GPCPD in one dimension was investigated numerically. The results show that the GPCPD belongs to the universality class, which is characterized by the long-term memory effect and the continuously varying critical exponents.