Compact parity conserving percolation in one-dimension

Details Compact parity conserving percolation in one-dimension Compact parity conserving percolation in one-dimension

1998-01-14

arxiv.org/abs/cond-mat/9801139v2

J. Phys. A 31 (1998) 6771

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures embedded in the latex, final form before J.Phys.A publication

Scientific paper

10.1088/0305-4470/31/32/003

Compact directed percolation is known to appear at the endpoint of the directed percolation critical line of the Domany-Kinzel cellular automaton in 1+1 dimension. Equivalently, such transition occurs at zero temperature in a magnetic field H, upon changing the sign of H, in the one-dimensional Glauber-Ising model with well known exponents characterising spin-cluster growth. We have investigated here numerically these exponents in the non-equilibrium generalization (NEKIM) of the Glauber model in the vicinity of the parity-conserving phase transition point of the kinks. Critical fluctuations on the level of kinks are found to affect drastically the characteristic exponents of spreading of spins while the hyperscaling relation holds in its form appropriate for compact clusters.

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