Discrete scale invariance in viscous fingering patterns

被引:23
作者
Roy, A [1 ]
Roy, S
Bhattacharyya, AJ
Banerjee, S
Tarafdar, S
机构
[1] Jadavpur Univ, Dept Phys, Condensed Matter Phys Res Ctr, Calcutta 700032, W Bengal, India
[2] SN Bose Natl Ctr Basic Sci, Calcutta 700091, W Bengal, India
[3] Indian Assoc Cultivat Sci, Calcutta 700032, W Bengal, India
关键词
D O I
10.1007/s100510050966
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We study viscous fingering patterns in a lifting Hele-Shaw cell, where a non-Newtonian fluid (oil paint) is displaced by air. The lengths of the air fingers are measured and their cumulative distribution is seen to follow a power law with log-periodic oscillations indicating the presence of discrete scale invariance.
引用
收藏
页码:1 / 3
页数:3
相关论文
共 13 条
[1]   EXPERIMENTAL DEMONSTRATION OF THE ROLE OF ANISOTROPY IN INTERFACIAL PATTERN-FORMATION [J].
BENJACOB, E ;
GODBEY, R ;
GOLDENFELD, ND ;
KOPLIK, J ;
LEVINE, H ;
MUELLER, T ;
SANDER, LM .
PHYSICAL REVIEW LETTERS, 1985, 55 (12) :1315-1318
[2]   VISCOUS FLOWS IN 2 DIMENSIONS [J].
BENSIMON, D ;
KADANOFF, LP ;
LIANG, SD ;
SHRAIMAN, BI ;
TANG, C .
REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :977-999
[3]  
HELESHAW JSS, 1898, NATURE, V58, P43
[4]   VISCOUS FINGERING IN POROUS-MEDIA [J].
HOMSY, GM .
ANNUAL REVIEW OF FLUID MECHANICS, 1987, 19 :271-311
[5]   Spontaneous generation of discrete scale invariance in growth models [J].
Huang, Y ;
Ouillon, G ;
Saleur, H ;
Sornette, D .
PHYSICAL REVIEW E, 1997, 55 (06) :6433-6447
[6]   DIFFUSION-LIMITED-AGGREGATION MODEL FOR POISSON GROWTH [J].
LAROCHE, H ;
FERNANDEZ, JF ;
OCTAVIO, M ;
LOESER, AG ;
LOBB, CJ .
PHYSICAL REVIEW A, 1991, 44 (10) :R6185-R6188
[7]  
PETTIJOHN F.J., 1984, SEDIMENTARY ROCKS
[8]   SELF-ORGANIZED FRACTAL RIVER NETWORKS [J].
RINALDO, A ;
RODRIGUEZ-ITURBE, I ;
RIGON, R ;
IJJASZVASQUEZ, E ;
BRAS, RL .
PHYSICAL REVIEW LETTERS, 1993, 70 (06) :822-825
[9]   Patterns in the variable Hele-Shaw cell for different viscosity ratios: Similarity to river network geometry [J].
Roy, S ;
Tarafdar, S .
PHYSICAL REVIEW E, 1996, 54 (06) :6495-6499
[10]   Complex fractal dimensions describe the hierarchical structure of diffusion-limited-aggregate clusters [J].
Sornette, D ;
Johansen, A ;
Arneodo, A ;
Muzy, JF ;
Saleur, H .
PHYSICAL REVIEW LETTERS, 1996, 76 (02) :251-254