SURFACE ROUGHENING WITH QUENCHED DISORDER IN d-DIMENSIONS

被引:10
|
作者
Buldyrev, Sergey V. [1 ,2 ]
Havlin, Shlomo [1 ,2 ,3 ]
Kertesz, Janos [4 ]
Shehter, Arkady [3 ]
Stanley, H. Eugene [1 ,2 ]
机构
[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[2] Boston Univ, Dept Phys, Boston, MA 02215 USA
[3] Bar Ilan Univ, Dept Phys, Ramat Gan, Israel
[4] Tech Univ Budapest, Inst Phys, H-1521 Budapest 11, Hungary
关键词
D O I
10.1142/S0218348X9300085X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We review recent numerical simulations of several models of interface growth in d-dimensional media with quenched disorder. These models belong to the universality class of anisotropic diode-resistor percolation networks. The values of the roughness exponent alpha = 0.63 0.01 (d =1+1) and alpha = 0.48 +/- 0.02 (d = 2 + 1) are in good agreement with our recent experiments. We study also the diode-resistor percolation on a Cayley tree. We find that P-infinity similar to exp(-A/root p(c)-p), thus suggesting that the critical exponent for P-infinity similar to (p(c)-p)(beta p) , beta(p) = infinity and that the upper critical dimension in this problem is d = d(c) = infinity. Other critical exponents on the Cayley tree are: tau = 3, v(parallel to) = nu(perpendicular to) = gamma = sigma = 0. The exponents related to roughness are: alpha = beta = 0, z = 2.
引用
收藏
页码:827 / 839
页数:13
相关论文
共 50 条
  • [1] DYNAMICS OF SURFACE ROUGHENING WITH QUENCHED DISORDER
    HAVLIN, S
    AMARAL, LAN
    BULDYREV, SV
    HARRINGTON, ST
    STANLEY, HE
    PHYSICAL REVIEW LETTERS, 1995, 74 (21) : 4205 - 4208
  • [2] SURFACE ROUGHENING WITH QUENCHED DISORDER IN HIGH DIMENSIONS - EXACT RESULTS FOR THE CAYLEY TREE
    BULDYREV, SV
    HAVLIN, S
    KERTESZ, J
    SADRLAHIJANY, R
    SHEHTER, A
    STANLEY, HE
    PHYSICAL REVIEW E, 1995, 52 (01): : 373 - 388
  • [3] INTERFACE ROUGHENING IN SYSTEMS WITH QUENCHED DISORDER
    OLAMI, Z
    PROCACCIA, I
    ZEITAK, R
    PHYSICAL REVIEW E, 1995, 52 (04) : 3402 - 3414
  • [4] Surface roughening and self-organized criticality: The influence of quenched disorder
    Aegerter, CM
    Welling, MS
    Wijngaarden, RJ
    EUROPHYSICS LETTERS, 2006, 74 (03): : 397 - 403
  • [5] ON COUNTING TRIANGULATIONS IN D-DIMENSIONS
    DEY, TK
    COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 1993, 3 (06): : 315 - 325
  • [6] ON D-DIMENSIONS OF ALGEBRAIC VARIETIES
    IITAKA, S
    PROCEEDINGS OF THE JAPAN ACADEMY, 1970, 46 (06): : 487 - &
  • [7] PERCOLATION PROCESSES IN D-DIMENSIONS
    GAUNT, DS
    SYKES, MF
    RUSKIN, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (11): : 1899 - 1911
  • [8] The Hulthen potential in D-dimensions
    Agboola, D.
    PHYSICA SCRIPTA, 2009, 80 (06)
  • [9] A HYDROGENIC ATOM IN D-DIMENSIONS
    ANDREW, K
    SUPPLEE, J
    AMERICAN JOURNAL OF PHYSICS, 1990, 58 (12) : 1177 - 1183
  • [10] D-DIMENSIONS OF ALGEBRAIC VARIETIES
    IITAKA, S
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1971, 23 (02) : 356 - +