The Dynamics of a Meandering River

Details The Dynamics of a Meandering River The Dynamics of a Meandering River

1996-08-20

arxiv.org/abs/cond-mat/9608080v1

Physical Review Letters, Volume 75, Page 3016, (1995)

Physics

Condensed Matter

Revtex, 12 pages, 2 postscript figures

Scientific paper

10.1103/PhysRevLett.75.3016

We present a statistical model of a meandering river on an alluvial plane which is motivated by the physical non-linear dynamics of the river channel migration and by describing heterogeneity of the terrain by noise. We study the dynamics analytically and numerically. The motion of the river channel is unstable and we show that by inclusion of the formation of ox-bow lakes, the system may be stabilised. We then calculate the steady state and show that it is in agreement with simulations and measurements of field data.

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