A mean-field approximation scheme containing the spatial parameter and its application to a surface-reaction-like cellular automaton model

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: mean-field scheme dynamic latticemodel phase transition
• 年，卷（期）: 2002,（8）
• 页码范围: 771-775
• 页数: 5页
• 分类号: O4
• 语种: 英文

摘要

Using an AB2 surface-reaction-like cellular automaton model, we present a modified mean-field approximationscheme 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 reveala second-order phase transition which has not been found using traditional approaches.