Experimental evidence for self-affine roughening in a micromodel of geomorphological evolution

A. Czirók, E. Somfai, and T. Vicsek
Phys. Rev. Lett. 71, 2154 – Published 27 September 1993
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Abstract

An experimental evidence for kinetic roughening in a micromodel of mountain ranges is presented. We have observed that during the watering of an initially smooth ridge made of a mixture of silica sand and earthy soil the surface evolves into a shape analogous to actual mountain profiles with self-affine geometry. For the exponents describing respectively the temporal and the spatial scaling of the surface width β≊0.9 and α=0.78±0.05 have been obtained. The latter value is in very good agreement with α=0.8±0.1 we have calculated for genuine transect profiles.

  • Received 2 March 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.2154

©1993 American Physical Society

Authors & Affiliations

A. Czirók and E. Somfai

  • Department of Atomic Physics, Eötvös University, Budapest Puskin u 5-7, 1088 Hungary

T. Vicsek

  • Department of Atomic Physics, Eötvös University, Budapest Puskin u 5-7, 1088 Hungary
  • Institute for Technical Physics, Budapest, P.O.B. 76, 1325 Hungary

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Vol. 71, Iss. 13 — 27 September 1993

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