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Fermi Statistics of Weakly Exicted Granular Systems in a Vibrating Bed I: Molecular Dynamics Simulations | Paul V. Quinn
; Daniel C. Hong
; | Date: |
12 Dec 1998 | Subject: | Statistical Mechanics; Materials Science | cond-mat.stat-mech cond-mat.mtrl-sci | Abstract: | Molecular dynamics simulations were carried out to test the thermodynamic theory of weakly excited, two-dimensional granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764 (1997)], where granular materials are viewed as a collection of spinless Fermions. We first determine the global temperature T by fitting the steady state density profile to the Fermi distribution function, and then measure the center of mass, , and its fluctuations, <(Delta z(T))^2> as a function of T. We find a fairly good agreement between theory and simulations, in particular, in the estimation of the temperature and the scaling behavior of and <(Delta z(T))^2>. | Source: | arXiv, cond-mat/9901105 | Services: | Forum | Review | PDF | Favorites |
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