Force correlations and arches formation in granular assemblies

Details Force correlations and arches formation in granular assemblies Force correlations and arches formation in granular assemblies

1997-10-21

arxiv.org/abs/cond-mat/9710217v1

Phys. Rev. Lett., 80 (1998) 1340

Physics

Condensed Matter

6 pages

Scientific paper

10.1103/PhysRevLett.80.1340

In the context of a simple microscopic schematic scalar model we study the effects of spatial correlations in force transmission in granular assemblies. We show that the parameters of the normalized weights distribution function, $P(v)\sim v^{\alpha}\exp(-v/\phi)$, strongly depend on the spatial extensions, $\xi_V$, of such correlations. We show, then, the connections between measurable macroscopic quantities and microscopic mechanisms enhancing correlations. In particular we evaluate how the exponential cut-off, $\phi(\xi_V)$, and the small forces power law exponent, $\alpha(\xi_V)$, depend on the correlation length, $\xi_V$. If correlations go to infinity, weights are power law distributed.

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