Origins of scale invariance in growth processes

被引:924
作者
Krug, J [1 ]
机构
[1] FORSCHUNGSZENTRUM JULICH, FORSCHUNGSZENTRUM, INST FESTKORPERFORSCH, D-52425 JULICH, GERMANY
关键词
D O I
10.1080/00018739700101498
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
This review describes recent progress in the understanding of the emergence of scale invariance in far-from-equilibrium growth. The first section is devoted to 'solvable' needle models which illustrate the relationship between long-range competition mediated, for example, through shadowing or a Laplacian field, and scale invariance. The following three sections, which comprise the hulk of the article, develop the theory of kinetic surface roughening in a comprehensive manner. The two large classes of kinetic roughening processes, characterized by non-conserved (Kardar-Parisi-Zhang) and conserved (ideal molecular beam epitaxy (MBE)) surface relaxation, respectively, are treated separately. For the former case, which has been extensively reviewed elsewhere, the focus is on recent developments. For the case of ideal MBE we give a systematic derivation of the various universality classes in terms of microscopic processes, and compare the predictions of continuum theory to computer simulations and experiments.
引用
收藏
页码:139 / 282
页数:144
相关论文
共 421 条
[91]  
ELKINANI I, 1994, J PHYS I, V4, P949, DOI 10.1051/jp1:1994238
[92]   OBSERVATION OF A GROWTH INSTABILITY DURING LOW-TEMPERATURE MOLECULAR-BEAM EPITAXY [J].
ERNST, HJ ;
FABRE, F ;
FOLKERTS, R ;
LAPUJOULADE, J .
PHYSICAL REVIEW LETTERS, 1994, 72 (01) :112-115
[93]   GROWTH OF CU ON CU(100) [J].
ERNST, HJ ;
FABRE, F ;
LAPUJOULADE, J .
SURFACE SCIENCE, 1992, 275 (1-2) :L682-L684
[94]   KINETICS OF GROWTH OF CU ON CU(001) [J].
ERNST, HJ ;
FABRE, F ;
FOLKERTS, R ;
LAPUJOULADE, J .
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS, 1994, 12 (04) :1809-1817
[95]   FACTORS MEDIATING SMOOTHNESS IN EPITAXIAL THIN-FILM GROWTH [J].
EVANS, JW .
PHYSICAL REVIEW B, 1991, 43 (05) :3897-3905
[96]   IMPROVED BOUNDS FOR THE TRANSITION-TEMPERATURE OF DIRECTED POLYMERS IN A FINITE-DIMENSIONAL RANDOM MEDIUM [J].
EVANS, MR ;
DERRIDA, B .
JOURNAL OF STATISTICAL PHYSICS, 1992, 69 (1-2) :427-437
[97]   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
[98]   SCALING OF ROUGH SURFACES - EFFECTS OF SURFACE-DIFFUSION [J].
FAMILY, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08) :L441-L446
[99]  
Family F., 1991, DYNAMICS FRACTAL SUR
[100]   THE MORPHOLOGY AND EVOLUTION OF THE SURFACE IN EPITAXIAL AND THIN FILM GROWTH: A CONTINUUM MODEL WITH SURFACE DIFFUSION [J].
Family, Fereydoon ;
Amar, Jacques G. .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (04) :753-766