Fermi statistics applied to a weakly excited column of granular particles in a vibrating bed

Holly Kokstein and Paul V. Quinn

Physica A: Statistical Mechanics and its Applications, 2007, vol. 374, issue 1, 66-76

Abstract: A one-dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78 (1997) 2764] where granular particles are treated as spinless Fermions. The density profile is measured and then fit to a granular Fermi distribution function, from which the global temperature of the system, T, is determined. Then the center of mass, 〈z(T)〉, and its fluctuations, 〈Δz(T)2〉, are measured and plotted as functions of T. The granular Fermi function fits the density profile fairly well, with the value of T being reasonably close to the predicted value. The scaling behavior of 〈z(T)〉 and 〈Δz(T)2〉 is in excellent agreement with the theory.

Keywords: Fermi statistics; Granular density profile; Weakly excited granular systems (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:374:y:2007:i:1:p:66-76

DOI: 10.1016/j.physa.2006.07.011

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