Three-parameter model of a sand pile

Details Three-parameter model of a sand pile Three-parameter model of a sand pile

1999-06-10

arxiv.org/abs/cond-mat/9906149v2

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures, RevTeX

Scientific paper

The theory of a flux steady-state (avalanche) formation is presented for the simplest model of a real sand pile within the framework of Lorenz approach. The stationary values of sand velocity and sand pile slope are derived as functions of controlling parameter (externally driven sandpile slope). The additive noises of above values are taken into account to build the phase diagram, where the noise intensities determine a domain of the avalanche appearance. This domain shows to be crucial to the noise intensity of vertical component of sand velocity.

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