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Universality split in absorbing phase transition with conserved field on fractal lattices

Sang-Gui Lee and Sang B. Lee^*

Department of Physics, Kyungpook National University, Daegu 702-701, Korea

^*Corresponding author; sblee@knu.ac.kr

Phys. Rev. E 77, 041122 – Published 23 April, 2008

DOI: https://doi.org/10.1103/PhysRevE.77.041122

Abstract

The universality split in absorbing phase transition between the conserved lattice gas (CLG) model and the conserved threshold transfer process (CTTP) is investigated on a checkerboard fractal and on a Sierpinski gasket. The critical exponents $θ$ , $β$ , $ν_{∥}$ , and $z$ , which are associated with, respectively, the density of active particles in time, the order parameter, the temporal correlation length, and the dynamics of active particles, are elaborately measured for two models on selected fractal lattices. The exponents for the CLG model are found to be distinctly different from those of the CTTP model on a checkerboard fractal, whereas the two models exhibit the same critical behavior on a Sierpinski gasket, indicating that the universality split between the two models occurs only on a checkerboard fractal. Such a universality split is attributed from the dominant hopping mechanisms caused by the intrinsic properties of the underlying fractal lattice.

Article Text

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