MODEL OF CLUSTER GROWTH AND PHASE-SEPARATION - EXACT RESULTS IN ONE DIMENSION

被引:34
作者
PRIVMAN, V
机构
[1] Department of Physics, Theoretical Physics, University of Oxford, Oxford
关键词
INTERFACE DIFFUSION; PHASE COEXISTENCE AND GROWTH; CLUSTER COARSENING; STRUCTURE-FACTOR SCALING;
D O I
10.1007/BF01050428
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present exact results for a lattice model of cluster growth in one dimension. The growth mechanism involves interface hopping and pairwise annihilation supplemented by spontaneous creation of the stable-phase, + 1, regions by overturning the unstable-phase, - 1, spins with probability p. For cluster coarsening at phase coexistence, p = 0, the conventional structure-factor scaling applies. In this limit our model falls in the class of diffusion-limited reactions A + A --> inert. The + 1 cluster size grows diffusively, approximately square-root t, and the two-point correlation function obeys scaling. However, for p > 0, i.e., for the dynamics of formation of stable phase from unstable phase, we find that structure-factor scaling breaks down; the length scale associated with the size of the growing + 1 clusters reflects only the short-distance properties of the two-point correlations.
引用
收藏
页码:629 / 642
页数:14
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