Sandpiles and river networks: Extended systems with nonlocal interactions

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52 Scopus citations

Abstract

A proposed continuum model of sandpile growth is able to demonstrate instantaneous long-range interactions and sudden collapses typical of real sandpiles. The model is shown to be equivalent to an evolutionary quasivariational inequality. In the limiting case of zero angle of repose the inequality describes water transport in a river network.

Original languageEnglish
Pages (from-to)1161-1167
Number of pages7
JournalPhysical Review E
Volume49
Issue number2
DOIs
StatePublished - 1 Jan 1994

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