Anomalous interface roughening in 3D porous media: experiment and model

S.V. Buldyrev, A.-L. Barabási, S. Havlin, J. Kertész, H.E. Stanley and H.S. Xenias

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 220-226

Abstract: We report the first imbibition experiments in 2 + 1 dimensions — using simple materials as the random media and various aqueous suspensions as wetting fluids. We measure the width w(l, t) of the resulting interface and find it to scale with length l as w(l, ∞) ∼lα with α = 0.50±0.05. This value of α is larger than the value of α = 0.40 found for the KPZ universality class in 2 + 1 dimensions. We develop a new imbibition model that describes quantitatively our experiments. For d = 1 + 1, the model can be mapped to directed percolation; for d = 2 + 1, it corresponds to a new anisotropic surface percolation problem. Our model leads to the exponent α = 0.5 ± 0.05 in excellent agreement with the experiment.

Date: 1992
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719290531T
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:220-226

DOI: 10.1016/0378-4371(92)90531-T

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().