Volume fluctuations and geometrical constraints in granular packs.
I study the structural organization and correlations in very large packings of equally sized spheres, reconstructed in three dimensions with x-ray computed tomography. I show that the geometrical structure can be conveniently studied as a packing of irregular tetrahedra with volume distribution that must decay exponentially with parameters controlled by the conditions of mechanical stability, nonoverlapping, and space filling. I argue that the system's structure can be described as constituted of two phases: (1) an "unconstrained" phase which freely shares the volume and (2) a "constrained" phase which assumes configurations accordingly with the geometrical constraints. It results that the granular system exploits heterogeneity maximizing freedom and entropy while constraining mechanical stability.
Department of Applied Mathematics, RSPhysSE, The Australian National University, 0200 Australia.
Tomaso
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Aste