a Physics Group, Information Engineering University, Zhengzhou 450002, China; b Electrical Engineering Institute, Zhengzhou University, Zhengzhou 450002, China
Abstract Using an AB2 surface-reaction-like cellular automaton model, we present a modified mean-field approximation scheme for describing some dynamic lattice models, in which a lattice freedom parameter N is introduced as a variable. We obtain the phase diagrams of the example model for linear, hexagonal, square and triangular lattices, and we reveal a second-order phase transition which has not been found using traditional approaches.
Received: 20 January 2002
Revised: 23 April 2002
Accepted manuscript online:
Yu Zhong-Qiu (余仲秋), Zhang Zhen (张震), Zhang Bo-Tao (张波涛) A mean-field approximation scheme containing the spatial parameter and its application to a surface-reaction-like cellular automaton model 2002 Chinese Physics 11 771
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