{ "id": "cond-mat/0603414", "version": "v1", "published": "2006-03-15T21:37:57.000Z", "updated": "2006-03-15T21:37:57.000Z", "title": "The Fermi Statistics of a Weakly Excited Particle in a Vibrating Bed", "authors": [ "Holly M. Kokstein", "Paul V. Quinn Sr" ], "comment": "19 pages with 3 tables and 5 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.mtrl-sci" ], "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, 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.", "revisions": [ { "version": "v1", "updated": "2006-03-15T21:37:57.000Z" } ], "analyses": { "keywords": [ "weakly excited particle", "fermi statistics", "fermi distribution function", "fermi function fits" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006cond.mat..3414K" } } }