154 research outputs found
Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
The local scale invariance has been investigated in the nonequilibrium
kinetic Ising model exhibiting absorbing phase transition of PC type in 1+1
dimension. Numerical evidence has been found for the satisfaction of this
symmetry and estimates for the critical ageing exponents are given.Comment: 8 pages, 2 figures (IOP format), final form to appear in JSTA
Phase transitions and critical behaviour in one-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk of kinks
One-dimensional non-equilibrium kinetic Ising models evolving under the
competing effect of spin flips at zero temperature and nearest-neighbour spin
exchanges exhibiting directed percolation-like parity conserving(PC) phase
transition on the level of kinks are now further investigated, numerically,
from the point of view of the underlying spin system. Critical exponents
characterising its statics and dynamics are reported. It is found that the
influence of the PC transition on the critical exponents of the spins is strong
and the origin of drastic changes as compared to the Glauber-Ising case can be
traced back to the hyperscaling law stemming from directed percolation(DP).
Effect of an external magnetic field, leading to DP-type critical behaviour on
the level of kinks, is also studied, mainly through the generalised mean field
approximation.Comment: 15 pages, using RevTeX, 13 Postscript figures included, submitted to
J.Phys.A, figures 12 and 13 fixe
Critical behaviour of annihilating random walk of two species with exclusion in one dimension
The , process with exclusion between the different
kinds is investigated here numerically. Before treating this model explicitly,
we study the generalized Domany-Kinzel cellular automaton model of Hinrichsen
on the line of the parameter space where only compact clusters can grow. The
simplest version is treated with two absorbing phases in addition to the active
one. The two kinds of kinks which arise in this case do not react, leading to
kinetics differing from standard annihilating random walk of two species. Time
dependent simulations are presented here to illustrate the differences caused
by exclusion in the scaling properties of usually discussed characteristic
quantities. The dependence on the density and composition of the initial state
is most apparent. Making use of the parallelism between this process and
directed percolation limited by a reflecting parabolic surface we argue that
the two kinds of kinks exert marginal perturbation on each other leading to
deviations from standard annihilating random walk behavior.Comment: 12 pages, 16 figures, small typos corrected, 2 references adde
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