ANOMALOUS ROUGHENING IN 3-DIMENSIONAL POLYNUCLEATION GROWTH

被引：22

作者：

LEHNER, C ^{[1
]}

RAJEWSKY, N ^{[1
]}

WOLF, DE ^{[1
]}

KERTESZ, J ^{[1
]}

机构：

[1] FORSCHUNGSZENTRUM JULICH, INST FESTKORPERFORSCH, W-5170 JULICH 1, GERMANY

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1990年 / 164卷 / 01期

关键词：

D O I：

10.1016/0378-4371(91)90102-I

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The surface properties of the three-dimensional polynucleation growth model were studied at the kinetic roughening transition. The dependence of the surface width w on time t and linear size L of the substrate is determined by anomalous roughening: wx∼log[Lt̃f(t/Lz')] where t̃f is a scaling function. For the exponents x = 2.8±0.2 and z' = 1.79±0.05 were found, the latter being related to directed percolation. © 1990.

引用

页码：81 / 90

页数：10

共 23 条

[1] THE SHAPE OF THE LIMIT SET IN RICHARDSON GROWTH-MODEL
DURRETT, R
LIGGETT, TM
[J]. ANNALS OF PROBABILITY, 1981, 9 (02) : 186 - 193
[2] SCALING OF THE ACTIVE ZONE IN THE EDEN PROCESS ON PERCOLATION NETWORKS AND THE BALLISTIC DEPOSITION MODEL
FAMILY, F
VICSEK, T
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02): : L75 - L81
[3] INTERFACE WANDERING IN ADSORBED AND BULK PHASES, PURE AND IMPURE
FISHER, ME
[J]. JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1986, 82 : 1569 - 1603
[4] Forrest B. E., PREPRINT
[5] NUCLEATION-CONTROLLED GROWTH ON A ONE-DIMENSIONAL GROWTH OF FINITE LENGTH
FRANK, FC
[J]. JOURNAL OF CRYSTAL GROWTH, 1974, 22 (03) : 233 - 236
[6] DIRECTED PERCOLATION IN 2+1 DIMENSIONS
GRASSBERGER, P
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17): : 3673 - 3679
[7] Guo H., PREPRINT
[8] DYNAMIC SCALING OF GROWING INTERFACES
KARDAR, M
PARISI, G
ZHANG, YC
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (09) : 889 - 892
[9] GROWTH OF SELF-AFFINE SURFACES
KERTESZ, J
WOLF, DE
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1989, 38 (1-3) : 221 - 225
[10] ANOMALOUS ROUGHENING IN GROWTH-PROCESSES
KERTESZ, J
WOLF, DE
[J]. PHYSICAL REVIEW LETTERS, 1989, 62 (22) : 2571 - 2574

← 1 2 3 →