ANOMALOUS INTERFACE ROUGHENING: THE ROLE OF A GRADIENT IN THE DENSITY OF PINNING SITES

被引：9

作者：

Amaral, L. A. N. ^{[1
,2
]}

Barabasi, A. -L. ^{[1
,2
]}

Buldyrev, S. V. ^{[1
,2
]}

Havlin, S. ^{[1
,2
,3
]}

Stanley, H. E. ^{[1
,2
]}

机构：

[1] Boson Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[2] Boson Univ, Dept Phys, Boston, MA 02215 USA

[3] Bar Ilan Univ, Dept Phys, Ramat Gan, Israel

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 1993年 / 1卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1142/S0218348X93000848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the effect on interface roughening of a gradient del p in the density of pinning sites p. We identify a new correlation length, which is a function of del p : xi similar to (del p)(-gamma/alpha), where alpha = nu(perpendicular to)/nu(parallel to) is the roughness exponent, and gamma = nu(perpendicular to)/(1+nu(perpendicular to)) The exponents nu(perpendicular to) and nu(parallel to) characterize the transverse and longitudinal correlation lengths. To investigate the effect of del p on the scaling properties of the interface in (1 + 1) and (2 + 1) dimensions, we calculate the critical concentration, p(c), and the exponents gamma and alpha from which nu(perpendicular to) and nu(parallel to) can be determined. Our results are in qualitative agreement with some of the features of imbibition experiments.

引用

页码：818 / 826

页数：9

共 32 条

[1] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE
BAK, P
TANG, C
WIESENFELD, K
[J]. PHYSICAL REVIEW LETTERS, 1987, 59 (04) : 381 - 384
[2] Barabasi A.-L., 1992, IMBIBITION POROUS ME
[3] A MODEL FOR TEMPORAL FLUCTUATIONS OF THE SURFACE WIDTH - A STOCHASTIC ONE-DIMENSIONAL MAP
BARABASI, AL
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (17): : L1013 - L1019
[4] MULTIFRACTAL SPECTRA OF MULTI-AFFINE FUNCTIONS
BARABASI, AL
SZEPFALUSY, P
VICSEK, T
[J]. PHYSICA A, 1991, 178 (01): : 17 - 28
[5] MULTIFRACTALITY OF GROWING SURFACES
BARABASI, AL
BOURBONNAIS, R
JENSEN, M
KERTESZ, J
VICSEK, T
ZHANG, YC
[J]. PHYSICAL REVIEW A, 1992, 45 (10): : R6951 - R6954
[6] MULTIFRACTALITY OF SELF-AFFINE FRACTALS
BARABASI, AL
VICSEK, T
[J]. PHYSICAL REVIEW A, 1991, 44 (04): : 2730 - 2733
[7] ANOMALOUS INTERFACE ROUGHENING IN POROUS-MEDIA - EXPERIMENT AND MODEL
BULDYREV, SV
BARABASI, AL
CASERTA, F
HAVLIN, S
STANLEY, HE
VICSEK, T
[J]. PHYSICAL REVIEW A, 1992, 45 (12): : R8313 - R8316
[8] ANOMALOUS INTERFACE ROUGHENING IN 3D POROUS-MEDIA - EXPERIMENT AND MODEL
BULDYREV, SV
BARABASI, AL
HAVLIN, S
KERTESZ, J
STANLEY, HE
XENIAS, HS
[J]. PHYSICA A, 1992, 191 (1-4): : 220 - 226
[9] Bunde A., 1991, FRACTALS DISORDERED
[10] DYNAMICS OF SURFACE ROUGHENING IN DISORDERED MEDIA
CSAHOK, Z
HONDA, K
VICSEK, T
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (05): : L171 - L178

← 1 2 3 4 →