DYNAMICS OF SURFACE ROUGHENING WITH QUENCHED DISORDER

被引:20
作者
HAVLIN, S
AMARAL, LAN
BULDYREV, SV
HARRINGTON, ST
STANLEY, HE
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
[2] BAR ILAN UNIV,CTR MINERVA,RAMAT GAN,ISRAEL
[3] BAR ILAN UNIV,DEPT PHYS,RAMAT GAN,ISRAEL
关键词
D O I
10.1103/PhysRevLett.74.4205
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6. © 1995 The American Physical Society.
引用
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页码:4205 / 4208
页数:4
相关论文
共 22 条
[1]   UNIVERSALITY CLASSES FOR INTERFACE GROWTH WITH QUENCHED DISORDER [J].
AMARAL, LAN ;
BARABASI, AL ;
STANLEY, HE .
PHYSICAL REVIEW LETTERS, 1994, 73 (01) :62-65
[2]   AVALANCHES AND THE DIRECTED PERCOLATION DEPINNING MODEL - EXPERIMENTS, SIMULATIONS, AND THEORY [J].
AMARAL, LAN ;
BARABASI, AL ;
BULDYREV, SV ;
HARRINGTON, ST ;
HAVLIN, S ;
SADRLAHIJANY, R ;
STANLEY, HE .
PHYSICAL REVIEW E, 1995, 51 (05) :4655-4673
[3]  
Barabasi A. L., 1995, FRACTAL CONCEPTS SUR
[4]  
BARABASI AL, 1992, SURFACE DISORDERING, P193
[5]   SURFACE ROUGHENING WITH QUENCHED DISORDER IN d-DIMENSIONS [J].
Buldyrev, Sergey V. ;
Havlin, Shlomo ;
Kertesz, Janos ;
Shehter, Arkady ;
Stanley, H. Eugene .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (04) :827-839
[6]   ANOMALOUS INTERFACE ROUGHENING IN POROUS-MEDIA - EXPERIMENT AND MODEL [J].
BULDYREV, SV ;
BARABASI, AL ;
CASERTA, F ;
HAVLIN, S ;
STANLEY, HE ;
VICSEK, T .
PHYSICAL REVIEW A, 1992, 45 (12) :R8313-R8316
[7]   ANOMALOUS INTERFACE ROUGHENING IN 3D POROUS-MEDIA - EXPERIMENT AND MODEL [J].
BULDYREV, SV ;
BARABASI, AL ;
HAVLIN, S ;
KERTESZ, J ;
STANLEY, HE ;
XENIAS, HS .
PHYSICA A, 1992, 191 (1-4) :220-226
[8]  
CONIGLIO A, 1985, FINELY DIVIDED MATTE
[9]   DYNAMICS OF SURFACE ROUGHENING IN DISORDERED MEDIA [J].
CSAHOK, Z ;
HONDA, K ;
VICSEK, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (05) :L171-L178
[10]  
Family F., 1991, DYNAMICS FRACTAL SUR