KINETIC ROUGHENING OF LAPLACIAN FRONTS

被引：79
作者：
KRUG, J
MEAKIN, P
机构：
[1] UNIV MUNICH,W-8000 MUNICH 2,GERMANY
[2] DUPONT CO,DEPT CENT RES & DEV,WILMINGTON,DE 19880
来源：
PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 06期
关键词：
D O I：
10.1103/PhysRevLett.66.703
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The kinetic fluctuations of a stable interface driven by the gradient of a Laplacian field are investigated. In three and more dimensions the interface width is finite. In two dimensions the width diverges logarithmically with time and system size. Its scaling form is derived in agreement with simulations of diffusion-limited erosion (antidiffusion-limited aggregation). A crossover to algebraic roughness with an extended intermediate scaling regime is predicted for diffusion with a drift towards the interface. Capillary effects are discussed in relation to recent experiments on fluid displacement in porous media.
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页码：703 / 706
页数：4
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