Phys. Rev. E 63, 055102(R) (2001) [4 pages]

Coupled length scales in eroding landscapes

Abstract

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Kelvin K. Chan^* and Daniel H. Rothman^†
Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 13 November 2000; published 13 April 2001

We report results from an empirical study of the anisotropic structure of eroding landscapes. By constructing a novel correlation function, we show quantitatively that small-scale channel-like features of landscapes are coupled to the large-scale structure of drainage basins. We show additionally that this two-scale interaction is scale-dependent. The latter observation suggests that a commonly applied effective equation for erosive transport may itself depend on scale.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.63.055102

DOI:

10.1103/PhysRevE.63.055102

PACS:

05.65.+b, 92.40.Fb, 92.40.Gc, 45.70.Qj

^*Present address: Physics Department, Boston University. Electronic address: kechan@buphy.bu.edu

^†Author to whom correspondence should be addressed. Electronic address: dan@segovia.mit.edu; URL:http://segovia.mit.edu/

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Phys. Rev. E 63, 055102(R) (2001) [4 pages]

Coupled length scales in eroding landscapes