Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Statistical physics far from thermal equilibrium
DY 7.4: Talk
Monday, March 26, 2007, 15:15–15:30, H5
Crossover from the pair contact process with diffusion to the directed percolation — •Su-Chan Park1 and Hyunggyu Park2 — 1Institut für Theoretische Physik, Universität zu Köln, Köln, Germany — 2Korea Institute for Advanced Study, Seoul, Korea
To figure out the universality class to which the pair contact process with diffusion (PCPD) belongs has become a controversial issue in the field of the absorbing phase transition since the reinvention of the model in 1997. The main question is whether the PCPD belong to the directed percolation (DP) universality class or not. To find out the answer to this question, the crossover behavior from the pair contact process with diffusion (PCPD) to the directed percolation (DP) is studied in one dimension by introducing a single particle annihilation/branching dynamics. The crossover exponent φ is estimated numerically as 1/φ = 0.58. Nontriviality of the PCPD crossover exponent strongly supports non-DP nature of the PCPD critical scaling, which is further evidenced by the anomalous critical amplitude scaling near the PCPD point. The universal nature of the crossover exponent is also confirmed by the study of the crossover from the PCPD to the parity conserving class, which evidences the existence of well-defined PCPD fixed point distinct from the DP.