Force distribution in granular media studied by an energy method based on statistical mechanics

Details Force distribution in granular media studied by an energy method based on statistical mechanics Force distribution in granular media studied by an energy method based on statistical mechanics

2010-03-31

arxiv.org/abs/1003.5958v1

Physics

Computational Physics

Submitted to physical review letters

Scientific paper

In the present letter a method to find a proper expression for the force distribution inside a granular sample in static equilibrium is proposed. The method is based in statistical mechanics and the force distribution is obtained by studying how the potential elastic energy is divided among the different contacts between grains. It is found with DEM simulations with spheres that the elastic potential energy distribution follows a Bose Einstein law from which the force distribution is deduced. The present letter open a way in which granular materials can be studied with the tools provided by statistical mechanics.

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