Directed surfaces in disordered media

被引:19
作者
Barabasi, AL [1 ]
Grinstein, G [1 ]
Munoz, MA [1 ]
机构
[1] IBM CORP,DIV RES,TJ WATSON RES CTR,YORKTOWN HTS,NY 10598
关键词
D O I
10.1103/PhysRevLett.76.1481
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The critical exponents for a class of one-dimensional models of interface depinning in disordered media can be calculated through a mapping onto directed percolation. In higher dimensions these models give rise to directed surfaces, which do not belong to the directed percolation universality class. We formulate a scaling theory of directed surfaces, and calculate critical exponents numerically, using a cellular automaton that locates the directed surfaces without making reference to the dynamics of the underlying interface growth models.
引用
收藏
页码:1481 / 1484
页数:4
相关论文
共 27 条
[1]  
AHARONY A, 1986, DIRECTIONS CONDENSED
[2]   SCALING PROPERTIES OF DRIVEN INTERFACES IN DISORDERED MEDIA [J].
AMARAL, LAN ;
BARABASI, AL ;
MAKSE, HA ;
STANLEY, HE .
PHYSICAL REVIEW E, 1995, 52 (04) :4087-4104
[3]   UNIVERSALITY CLASSES FOR INTERFACE GROWTH WITH QUENCHED DISORDER [J].
AMARAL, LAN ;
BARABASI, AL ;
STANLEY, HE .
PHYSICAL REVIEW LETTERS, 1994, 73 (01) :62-65
[4]   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
[5]   CONDUCTIVITY OF A TWO-DIMENSIONAL RANDOM DIODE-INSULATOR NETWORK [J].
ARORA, BM ;
BARMA, M ;
DHAR, D ;
PHANI, MK .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (15) :2913-2921
[6]  
Barabasi A-Ls, 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
[7]   VORTICES IN HIGH-TEMPERATURE SUPERCONDUCTORS [J].
BLATTER, G ;
FEIGELMAN, MV ;
GESHKENBEIN, VB ;
LARKIN, AI ;
VINOKUR, VM .
REVIEWS OF MODERN PHYSICS, 1994, 66 (04) :1125-1388
[8]   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
[9]   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
[10]   DYNAMICAL TRANSITION IN QUASISTATIC FLUID INVASION IN POROUS-MEDIA [J].
CIEPLAK, M ;
ROBBINS, MO .
PHYSICAL REVIEW LETTERS, 1988, 60 (20) :2042-2045