- Bijoy Daga: The Institute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai-600113, India.
- Purusattam Ray: The Institute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai-600113, India.
We study absorbing phase transitions in systems of branching annihilating random walkers and pair contact process with diffusion on a one-dimensional ring, where the walkers hop to their nearest neighbor with a bias ε. For ε=0, three universality classes-directed percolation (DP), parity-conserving (PC), and pair contact process with diffusion (PCPD)-are typically observed in such systems. We find that the introduction of ε does not change the DP universality class but alters the other two universality classes. For nonzero ε, the PCPD class crosses over to DP, and the PC class changes to a new universality class.