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

S. V. Buldyrev; A. L. Barabási; S. Havlin; J. Kertész; H. E. Stanley; H. S. Xenias

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

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

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

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, ∞) ∼l^α 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.

Original language	English
Pages (from-to)	220-226
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	191
Issue number	1-4
DOIs	https://doi.org/10.1016/0378-4371(92)90531-T
State	Published - 15 Dec 1992

Bibliographical note

Funding Information:
We wish to thank M. Cieplak, D. Wolf, T. Vicsek, V. Horvath, G. Huber and S. Schwarzer for helpful discussionsa nd the Hungary-USA exchange program of the Hungarian Academy of Sciencesa nd the NSF for support.

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title = "Anomalous interface roughening in 3D porous media: experiment and model",

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.",

author = "Buldyrev, {S. V.} and Barab{\'a}si, {A. L.} and S. Havlin and J. Kert{\'e}sz and Stanley, {H. E.} and Xenias, {H. S.}",

note = "Funding Information: We wish to thank M. Cieplak, D. Wolf, T. Vicsek, V. Horvath, G. Huber and S. Schwarzer for helpful discussionsa nd the Hungary-USA exchange program of the Hungarian Academy of Sciencesa nd the NSF for support.",

year = "1992",

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doi = "10.1016/0378-4371(92)90531-T",

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T1 - Anomalous interface roughening in 3D porous media

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AU - Buldyrev, S. V.

AU - Barabási, A. L.

AU - Havlin, S.

AU - Kertész, J.

AU - Stanley, H. E.

AU - Xenias, H. S.

N1 - Funding Information: We wish to thank M. Cieplak, D. Wolf, T. Vicsek, V. Horvath, G. Huber and S. Schwarzer for helpful discussionsa nd the Hungary-USA exchange program of the Hungarian Academy of Sciencesa nd the NSF for support.

PY - 1992/12/15

Y1 - 1992/12/15

N2 - 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.

AB - 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.

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

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