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

نویسندگان

  • Nathan C. Blanchard
  • Paul V. Quinn
  • Daniel Ou-Yang
  • Daniel C. Hong
چکیده

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, < (∆z(T )) >, 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 < z(T ) > and < (∆z(T )) > is in excellent agreement with the theory. PACS numbers: 81.05Rm, 05 E-mail address: [email protected] E-mail address: [email protected] E-mail address: [email protected] E-mail address: [email protected]

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تاریخ انتشار 2008