Directed Percolation Conjecture for Cellular Automata Revisited Typeset Using Revt E X 1
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چکیده
The directed percolation (DP) hypothesis for stochastic, range-4 cellular automata with acceptance rule y ≤ ∑ 4 j=−4 si−j ≤ 6, in cases of y < 6 was investigated in one and two dimensions. Simulations, mean-field renormalization group and coherent anomaly calculations show that in one dimension the phase transitions for y < 4 are continuous and belong to the DP class for y = 4, 5 they are discontinuous. The same rules in two dimensions for y = 1 show 2 + 1 dimensional DP universality; but in cases of y > 1 the transitions become first order. 05.40.+j, 64.60.-i Typeset using REVTEX
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تاریخ انتشار 1995