CDS Simulation and Pattern Formation of Phase Separation

来源 :Communications in Nonlinear Science & Numerical Simulation | 被引量 : 0次 | 上传用户:jj80022084
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Several properties of the generation and evolution of phase separating patterns for binary material studied by CDS model are proposed. The main conclusions are (1) for alloys spinodal decomposition, the conceptions of “macro-pattern” and “micropattern” are posed by “black-and- white graph” and “gray-scale graph” respectively.We find that though the four forms of map f that represent the self-evolution of order parameter in a cell(lattice) are similar to each other in “macro-pattern” , there are evident differences in their micro-pattern, e.g., some different fine netted structures in the blackdomain and the white domain are found by the micro-pattern, so that distinct mechanical and physical behaviors shall be obtained. (2) If the two constitutions of block copolymers are not symmetric (i.e. r ≠ 0.5), a pattern called “grain-strip cross pattern”is discovered,in the 0.43 < r < 0.45. Several properties of the generation and evolution of phase separating patterns for binary material studied by CDS model are proposed. The main conclusions are (1) for alloys spinodal decomposition, the conceptions of “macro-pattern ” and “micropattern ” are posed by “black-and-white graph ” and “gray-scale graph ” respectively. We find that though the four forms of map f that represent the self-evolution of order parameter in a cell (lattice) are similar to each other in “macro-pattern ”, there are clearly differences in their micro-pattern, eg, some different fine netted structures in the black domain and the white domain are found by the micro-pattern, so that distinct mechanical and physical (2) If the two constitutions of block copolymers are not symmetric (ie r ≠ 0.5), a pattern called “grain-strip cross pattern” is found, in the 0.43
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