Stability and Jamming Transition in Hard Granular Materials: Algebraic Graph Theory

Nicolas Rivier ()
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Nicolas Rivier: Université Louis Pasteur, IPCMS

A chapter in Traffic and Granular Flow ’07, 2009, pp 535-544 from Springer

Abstract: Summary Dry granular matter is modelled as a graph of grains linked by purely repulsive contacts. Its stability (jamming) is insured by odd circuits that prevent the grains from rolling on each other. A topological dynamical matrix is associated with the graph; it has a spectrum of low-energy excitations characteristic of dry, disordered granular matter. In the limit of large stiffness-to load ratio, dry granular matter has two possible dynamical states, dry fluid and jammed, rigid but fragile solid.

Date: 2009
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DOI: 10.1007/978-3-540-77074-9_58

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