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

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

1999-01-12

arxiv.org/abs/cond-mat/9901113v1

Physics

Condensed Matter

Materials Science

12 pages including references and captions, 10 figures, 3 tables

Scientific paper

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. {\bf 78}, 2764(1997)] where granular particles are treated as spinless Fermions. The density profile is measured and then fit to the Fermi distribution function, from which the global temperature of the system, T, is determined. Then the center of mass, , and its fluctuations, <(\Delta z(T))^2>, are measured and plotted as functions of T. The Fermi function fits the density profile fairly well, with the value of T being fairly close to the predicted value. The scaling behavior of and <(\Delta z(T))^2> is in excellent agreement with the theory.

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