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14 December 2024
 
  » arxiv » cond-mat/9710217

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Force correlations and arches formation in granular assemblies
Mario Nicodemi ;
Date 21 Oct 1997
Journal Phys. Rev. Lett., 80 (1998) 1340
Subject cond-mat
AbstractIn 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.
Source arXiv, cond-mat/9710217
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