The Fermi Statistics of a Weakly Excited Particle in a Vibrating Bed

Details The Fermi Statistics of a Weakly Excited Particle in a Vibrating Bed The Fermi Statistics of a Weakly Excited Particle in a Vibrating Bed

2006-03-15

arxiv.org/abs/cond-mat/0603414v1

Physics

Condensed Matter

Statistical Mechanics

19 pages with 3 tables and 5 figures

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. 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, $< z(T) >$, 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 reasonably close to the predicted value. The scaling behavior of $< z(T) >$ and $< \Delta z(T) ^2 >$ is in excellent agreement with the theory.

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