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Growth Exponent in the Domany-Kinzel Cellular Automaton | A.P.F. Atman
; J.G. Moreira
; | Date: |
24 Sep 2001 | Journal: | Eur. Phys. J. B, 16 (2000) pp. 501-505 | Subject: | Statistical Mechanics | cond-mat.stat-mech | Abstract: | In a roughening process, the growth exponent $eta$ describes how the roughness $w$ grows with the time $t$: $wsim t^{eta}$. We determine the exponent $eta$ of a growth process generated by the spatiotemporal patterns of the one dimensional Domany-Kinzel cellular automaton. The values obtained for $eta$ shows a cusp at the frozen/active transition which permits determination of the transition line. The $eta$ value at the transition depends on the scheme used: symmetric ($eta sim 0.83$) or non-symmetric ($eta sim 0.61$). Using damage spreading ideas, we also determine the active/chaotic transition line; this line depends on how the replicas are updated. | Source: | arXiv, cond-mat/0109443 | Services: | Forum | Review | PDF | Favorites |
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