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Fermi Statistics of Weakly Excited Granular Materials in a Vibrating Bed\n II: One Dimensional Experiment

1999/01/12 by Nathan C. Blanchard, Blanchard, Nathan C., Paul V. Quinn +7
Engineering · Physics and Astronomy · Materials Science · #Granular flow and fluidized beds #Quantum, superfluid, helium dynamics #Material Dynamics and Properties

paper · pdf · doi:10.48550/arxiv.cond-mat/9901113

Abstract

A one dimensional experiment in granular dynamics is carried out to test the\nthermodynamic theory of weakly excited granular systems [Hayakawa and Hong,\nPhys. Rev. Lett. bf 78, 2764(1997)] where granular particles are treated as\nspinless Fermions. The density profile is measured and then fit to the Fermi\ndistribution function, from which the global temperature of the system, T, is\ndetermined. Then the center of mass, <z(T)>, and its fluctuations, <(\Δ\nz(T))2>, are measured and plotted as functions of T. The Fermi function fits\nthe density profile fairly well, with the value of T being fairly close to the\npredicted value. The scaling behavior of <z(T)> and <(\Δ z(T))2> is in\nexcellent agreement with the theory.\n

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