Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-02-14
Phys. Rev. E. 61 (2000) 6404.
Physics
Condensed Matter
Statistical Mechanics
12 pages, 16 figures, small typos corrected, 2 references added
Scientific paper
10.1103/PhysRevE.61.6404
The $A+A\to 0$, $B+B\to 0 $ 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.
Menyhard Nora
Odor Geza
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