SCALING OF GROWING SURFACES WITH LARGE LOCAL SLOPES

被引:109
作者
SCHROEDER, M [1 ]
SIEGERT, M [1 ]
WOLF, DE [1 ]
SHORE, JD [1 ]
PLISCHKE, M [1 ]
机构
[1] SIMON FRASER UNIV, DEPT PHYS, BURNABY V5A 1S6, BC, CANADA
来源
EUROPHYSICS LETTERS | 1993年 / 24卷 / 07期
关键词
D O I
10.1209/0295-5075/24/7/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Wolf-Villain model for growing surfaces is investigated using the height-height correlation function and the structure factor. Both functions show an unusual scaling behaviour that can be attributed to the time dependence of the average step size and is characterized by a new exponent. A modified scaling law is introduced which may describe quite generally the crossover behaviour in models of this kind. It leads to a very different classification of the model than has been inferred from the exponents obtained by measuring the width of the surface as a function of time and system size.
引用
收藏
页码:563 / 568
页数:6
相关论文
共 29 条
[1]   GROOVE INSTABILITIES IN SURFACE GROWTH WITH DIFFUSION [J].
AMAR, JG ;
LAM, PM ;
FAMILY, F .
PHYSICAL REVIEW E, 1993, 47 (05) :3242-3245
[2]   A NEW UNIVERSALITY CLASS FOR KINETIC GROWTH - ONE-DIMENSIONAL MOLECULAR-BEAM EPITAXY [J].
DASSARMA, S ;
TAMBORENEA, P .
PHYSICAL REVIEW LETTERS, 1991, 66 (03) :325-328
[3]   SOLID-ON-SOLID RULES AND MODELS FOR NONEQUILIBRIUM GROWTH IN 2 + 1 DIMENSIONS [J].
DASSARMA, S ;
GHAISAS, SV .
PHYSICAL REVIEW LETTERS, 1992, 69 (26) :3762-3765
[4]   THE SURFACE STATISTICS OF A GRANULAR AGGREGATE [J].
EDWARDS, SF ;
WILKINSON, DR .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 381 (1780) :17-31
[5]   SCALING OF THE ACTIVE ZONE IN THE EDEN PROCESS ON PERCOLATION NETWORKS AND THE BALLISTIC DEPOSITION MODEL [J].
FAMILY, F ;
VICSEK, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02) :L75-L81
[6]  
Family F., 1991, DYNAMICS FRACTAL SUR
[7]  
JULLIEN R, 1992, SURFACE DISORDERING
[8]   SCALING BEHAVIOR OF DEPOSITION MODELS WITH LIMITED DOWNWARD MOBILITY [J].
KANG, HC ;
EVANS, JW .
PHYSICAL REVIEW A, 1991, 44 (04) :2335-2344
[9]   NOISE-REDUCTION IN EDEN MODELS .2. SURFACE-STRUCTURE AND INTRINSIC WIDTH [J].
KERTESZ, J ;
WOLF, DE .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (03) :747-761
[10]   MOLECULAR-BEAM EPITAXIAL-GROWTH AND SURFACE-DIFFUSION [J].
KESSLER, DA ;
LEVINE, H ;
SANDER, LM .
PHYSICAL REVIEW LETTERS, 1992, 69 (01) :100-103