Roughness exponent in the Domany-Kinzel cellular automaton
نویسندگان
چکیده
منابع مشابه
Roughness exponent in the Domany–Kinzel cellular automaton
We propose a method to detect phase transitions in discrete lattice models based on the roughness exponent. This approach is applied to the one-dimensional Domany–Kinzel cellular automaton (CA). Our results, obtained by numerical simulations, show that the roughness exponent method detects the frozen–active phase transition directly from the CA spatio-temporal configurations without any referen...
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In a roughening process, the growth exponent β describes how the roughness w grows with the time t: w ∼ t β. We determine the exponent β of a growth process generated by the spatiotemporal patterns of the one dimensional Domany-Kinzel cellular automaton. The values obtained for β shows a cusp at the frozen/active transition which permits determination of the transition line. The β value at the ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1999
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/32/6/003