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In the context of a simple microscopic schematic scalar model we study theeffects 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 betweenmeasurable macroscopic quantities and microscopic mechanisms enhancingcorrelations. In particular we evaluate how the exponential cut-off,$\phi(\xi_V)$, and the small forces power law exponent, $\alpha(\xi_V)$, dependon the correlation length, $\xi_V$. If correlations go to infinity, weights arepower law distributed.Comment: 6 page

Force Correlations and Arch Formation in Granular Assemblies