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• W2096548314 abstract "An ensemble approach for force networks in static granular packings is developed. The framework is based on the separation of packing and force scales, together with an a-priori flat measure in the force phase space under the constraints that the contact forces are repulsive and balance on every particle. In this paper we will give a general formulation of this force network ensemble, and derive the general expression for the force distribution $P(f)$. For small regular packings these probability densities are obtained in closed form, while for larger packings we present a systematic numerical analysis. Since technically the problem can be written as a non-invertible matrix problem (where the matrix is determined by the contact geometry), we study what happens if we perturb the packing matrix or replace it by a random matrix. The resulting $P(f)$'s differ significantly from those of normal packings, which touches upon the deep question of how network statistics is related to the underlying network structure. Overall, the ensemble formulation opens up a new perspective on force networks that is analytically accessible, and which may find applications beyond granular matter." @default.
• W2096548314 created "2016-06-24" @default.
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• W2096548314 date "2004-12-20" @default.
• W2096548314 modified "2023-10-18" @default.
• W2096548314 title "Ensemble theory for force networks in hyperstatic granular matter" @default.
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• W2096548314 doi "https://doi.org/10.1103/physreve.70.061306" @default.
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