Effect of Excluded Volume and Anisotropy on Granular Statistics: 'Fermi Statistics' and Condensation

Details Effect of Excluded Volume and Anisotropy on Granular Statistics: 'Fermi Statistics' and Condensation Effect of Excluded Volume and Anisotropy on Granular Statistics: 'Fermi Statistics' and Condensation

1999-09-16

arxiv.org/abs/cond-mat/9909252v1

Physics

Condensed Matter

Materials Science

17 pages, 4 Figures. Lecture Note delivered at 215 WE-Heraeus Seminar, Bad Honnef(Germany). To be published in 'Granular Gases

Scientific paper

We explore the consequences of the excluded volume interaction of hard spheres at high densities and present a theory for excited granular materials. We first demonstrate that, in the presence of gravity, the granular density crosses over from Boltzmann to Fermi statistics, when temperature is decreased in the weak excitation limit. Comparisons of numerical simulations with our predictions concerning the scaling behavior of temperature with agitation frequency, gravity and particle-diameter show satisfying agreement. Next, within the framework of the Enskog theory of hard spheres, we interpret this crossover as a 'condensation' of hard spheres from the dilute gas-state to a high density solid-like state. In the high density, low temperature limit Enskog theory fails because it predicts densities larger than the closed packed density below a certain temperature. We show how to extend the range of applicability of the Enskoq theory to arbitrarily low temperatures by constructing a physical solution: all particles that are situated in regions with densities larger than a certain maximum density are assumed to be 'condensed.'

Affiliated with

Also associated with

No associations

Rating

Effect of Excluded Volume and Anisotropy on Granular Statistics: 'Fermi Statistics' and Condensation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effect of Excluded Volume and Anisotropy on Granular Statistics: 'Fermi Statistics' and Condensation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effect of Excluded Volume and Anisotropy on Granular Statistics: 'Fermi Statistics' and Condensation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377206