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Self-affine roughening in a model experiment on erosion in geomorphology

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  • Czirók, A.
  • Somfai, E.
  • Vicsek, T.

Abstract

The basic mechanisms producing rough surfaces during geomorphological evolution are studied by carrying out model experiments and analyzing the results in terms of fractal scaling. We have been able to find an experimental evidence for kinetic roughening in our micromodel of mountain ranges. We have observed that during the watering of an initially smooth ridge made of a mixture of granular materials, the surface evolves into a shape analogous to actual mountain profiles with self-affine geometry. For the exponents describing respectively the spatial and the temporal scaling of the surface width, α=0.78±0.05 and β≈0.9 have been obtained. Our value for the static exponent α is in very good agreement with several earlier results for various mountains and we have calculated the estimate α=0.8±0.1 for a set of genuine transect profiles taken in the Dolomites, Italy. The results are interpreted in terms of “landslides” of widely scattered magnitudes.

Suggested Citation

  • Czirók, A. & Somfai, E. & Vicsek, T., 1994. "Self-affine roughening in a model experiment on erosion in geomorphology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 355-366.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:1:p:355-366
    DOI: 10.1016/0378-4371(94)90513-4
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    References listed on IDEAS

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    1. Csahók, Z. & Honda, K. & Somfai, E. & Vicsek, M. & Vicsek, T., 1993. "Dynamics of surface roughening in disordered media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 136-154.
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    Cited by:

    1. Csahók, Zoltán & Czirók, András, 1997. "Hydrodynamics of bacterial motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 304-318.
    2. Freund, Jan & Pöschel, Thorsten, 1995. "A statistical approach to vehicular traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 95-113.
    3. Seuront, Laurent & Spilmont, Nicolas, 2002. "Self-organized criticality in intertidal microphytobenthos patch patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 513-539.

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