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      An experimental investigation of the force network ensemble

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          Abstract

          We present an experiment in which a horizontal quasi-2D granular system with a fixed neighbor network is cyclically compressed and decompressed over 1000 cycles. We remove basal friction by floating the particles on a thin air cushion, so that particles only interact in-plane. As expected for a granular system, the applied load is not distributed uniformly, but is instead concentrated in force chains which form a network throughout the system. To visualize the structure of these networks, we use particles made from photoelastic material. The experimental setup and a new data-processing pipeline allow us to map out the evolution subject to the cyclic compressions. We characterize several statistical properties of the packing, including the probability density function of the contact force, and compare them with theoretical and numerical predictions from the force network ensemble theory.

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          The force network ensemble for granular packings

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            Soft Sphere Packings at Finite Pressure but Unstable to Shear

            , , (2013)
            When are athermal soft sphere packings jammed ? Any experimentally relevant definition must at the very least require a jammed packing to resist shear. We demonstrate that widely used (numerical) protocols in which particles are compressed together, can and do produce packings which are unstable to shear - and that the probability of generating such packings reaches one near jamming. We introduce a new protocol that, by allowing the system to explore different box shapes as it equilibrates, generates truly jammed packings with strictly positive shear moduli G. For these packings, the scaling of the average of G is consistent with earlier results, while the probability distribution P(G) exhibits novel and rich scaling
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              Structure of force networks in tapped particulate systems of disks and pentagons (Part 2): Persistence analysis

              In the companion paper~\cite{paper1}, we use classical measures based on force probability density functions (PDFs), as well as Betti numbers (quantifying the number of components, related to force chains, and loops), to describe the force networks in tapped systems of disks and pentagons. In the present work, we focus on the use of persistence analysis, that allows to describe these networks in much more detail. This approach allows not only to describe, but also to quantify the differences between the force networks in different realizations of a system, in different parts of the considered domain, or in different systems. We show that persistence analysis clearly distinguishes the systems that are very difficult or impossible to differentiate using other means. One important finding is that the differences in force networks between disks and pentagons are most apparent when loops are considered: the quantities describing properties of the loops may differ significantly even if other measures (properties of components, Betti numbers, or force PDFs) do not distinguish clearly the investigated systems.
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                Author and article information

                Journal
                2017-03-27
                Article
                1703.09169
                2587f831-65ee-488f-8f78-e914b5be749d

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                accepted for publication in the conference proceedings of Powders and Grains 2017
                cond-mat.soft

                Condensed matter
                Condensed matter

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