7th KIAS Conference on Statistical Physics
[Talk 15] Role of Bias in Generalized Contact Process
SPEAKER | Meesoon Ha
INSTITUTE | Chosun University
DATE | July 5(Tue), 2016
TIME | 16:40
PLACE | Korea Institute for Advanced Study (KIAS), Seoul, Korea
ABSTRACT | We present a generalized contact process (GCP), which is a one-dimensional CP-based
cyclically coupled model with power-law lifetime and branching bias. The feedback of powerlaw
lifetime is controlled by not only memeroy strength and but also power-law tail exponent.
In the absence of braching bias¢Ó, it has been reported that the long-term memory caused by the
feedback of lifetime, exhibits continuous varying critical behaviors, which is quite similar to
the long-term memory effect by solidary particles in the pair CP with diffusion (PCPD) as the
possibility of the new universality class. Among various scenarios and controversial issues
suggested based on numerical and field-theoretical results, the relevance of external driving
bias and the crossover exponent analysis of critical properties in the PCPD¢Ô strongly support
that the PCPD does not belong to the directed percolation (DP) unversality class because the
external driving bias is irrelevant to the DP or the directed Ising (or parity conservation)
universality class and the phase boundary is discontinuous at zero diffusion rate. In this study,
we discuss how the long-term memory of power-law lifetime plays a crucial role in the
continuous varying critical behaviors of the GCP. By introducing the branching bias, we show
that the external driving is also relevant to the GCP, like the driven PCPD. Finally, we argue
that the GCP universality class is also new, which is numerically tested up to the mean-field
¢Ó M. Ha, H. Park, S.Kwon, and H. Park (KIAS preprint unpublished data).
¢Ô S.-C. Park, Phys. Rev. E 90, 052115 (2014); S.-C. Park and H. Park, Phys. Rev.
Lett. 94, 065701 (2005).