Fermi statistics of weakly excited granular materials in a vibrating bed: molecular dynamics simulations

Paul V Quinn and Daniel C Hong

Physica A: Statistical Mechanics and its Applications, 1999, vol. 274, issue 3, 572-587

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 (1997) 2764], 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, 〈z(T)〉, and its fluctuations, 〈(Δz(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 〈z(T)〉 and 〈(Δz(T))2〉.

Keywords: Granular materials; Excluded volume effect; Fermi statistics (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:274:y:1999:i:3:p:572-587

DOI: 10.1016/S0378-4371(99)00277-0

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