EQUIVALENCE OF CELLULAR AUTOMATA TO ISING-MODELS AND DIRECTED PERCOLATION
EQUIVALENCE OF CELLULAR AUTOMATA TO ISING-MODELS AND DIRECTED PERCOLATION
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DOI：
10.1103/physrevlett.53.311
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发表时间：
1984-01-01
影响因子：
8.6
通讯作者：
KINZEL, W
中科院分区：
文献类型：
--
作者：
DOMANY, E;KINZEL, W
d维元胞自动机的时间发展映射到d+ 1维Ising模型的平衡统计力学。定向渗流等价于元胞自动机，因此也等价于伊辛模型。对于一个特殊的有向渗流情形，我们发现ν ε = 2，ν ε = 1，η ε = 0。
Time development of cellular automata in d dimensions is mapped onto equilibrium statistical mechanics of Ising models in d+ 1 dimensions. Directed percolation is equivalent to a cellular automaton, and thus to an Ising model. For a particular case of directed percolation we find ν∥= 2, ν⊥= 1, η⊥= 0.