Nonuniversal exponents in interface growth

被引:31
作者
Newman, TJ
Swift, MR
机构
[1] UNIV MANCHESTER, DEPT THEORET PHYS, MANCHESTER M13 9PL, LANCS, ENGLAND
[2] SCUOLA INT SUPER STUDI AVANZATI, I-34013 TRIESTE, ITALY
[3] SEZIONE INFM, I-34013 TRIESTE, ITALY
关键词
D O I
10.1103/PhysRevLett.79.2261
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report on an extensive numerical investigation of the Kardar-Parisi-Zhang equation describing nonequilibrium interfaces. Attention is paid to the dependence of the growth exponent beta on the details of the distribution of noise p(xi). All distributions considered are delta correlated in space and time, and have finite cumulants. We find that beta becomes progressively more sensitive to details of the distribution with increasing dimensionality. We discuss the implications of these results for the universality hypothesis.
引用
收藏
页码:2261 / 2264
页数:4
相关论文
共 23 条
[1]   SCALING EXPONENTS FOR KINETIC ROUGHENING IN HIGHER DIMENSIONS [J].
ALANISSILA, T ;
HJELT, T ;
KOSTERLITZ, JM ;
VENALAINEN, O .
JOURNAL OF STATISTICAL PHYSICS, 1993, 72 (1-2) :207-225
[2]   NUMERICAL-SOLUTION OF A CONTINUUM EQUATION FOR INTERFACE GROWTH IN 2+1 DIMENSIONS [J].
AMAR, JG ;
FAMILY, F .
PHYSICAL REVIEW A, 1990, 41 (06) :3399-3402
[3]  
Burgers J M, 1974, NONLINEAR DIFFUSION, DOI DOI 10.1007/978-94-010-1745-9
[4]   Invasion percolation and Eden growth: Geometry and universality [J].
Cieplak, M ;
Maritan, A ;
Banavar, JR .
PHYSICAL REVIEW LETTERS, 1996, 76 (20) :3754-3757
[5]  
Eden M., 1958, S INF THEOR BIOL
[6]   INTERFACE GROWTH AND BURGERS TURBULENCE - THE PROBLEM OF RANDOM INITIAL CONDITIONS [J].
ESPIOV, SE ;
NEWMAN, TJ .
PHYSICAL REVIEW E, 1993, 48 (02) :1046-1050
[7]   SURFACE ROUGHENING IN A HYPERCUBE-STACKING MODEL [J].
FORREST, BM ;
TANG, LH .
PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1405-1408
[8]   NUCLEATION-CONTROLLED GROWTH ON A ONE-DIMENSIONAL GROWTH OF FINITE LENGTH [J].
FRANK, FC .
JOURNAL OF CRYSTAL GROWTH, 1974, 22 (03) :233-236
[9]   KINETIC ROUGHENING PHENOMENA, STOCHASTIC GROWTH DIRECTED POLYMERS AND ALL THAT - ASPECTS OF MULTIDISCIPLINARY STATISTICAL-MECHANICS [J].
HALPINHEALY, T ;
ZHANG, YC .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1995, 254 (4-6) :215-415
[10]   ROUGHENING BY IMPURITIES AT FINITE TEMPERATURES - RESPONSE [J].
HUSE, DA ;
HENLEY, CL ;
FISHER, DS .
PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2924-2924