Segregation in fluidized versus tapped packs
arXiv:cond-mat/0409574 · doi:10.1103/PhysRevLett.93.198002
Abstract
We compare the predictions of two different statistical mechanics approaches, corresponding to different physical measurements, proposed to describe binary granular mixtures subjected to some external driving (continuous shaking or tap dynamics). In particular we analytically solve at a mean field level the partition function of a simple hard sphere lattice model under gravity and we focus on the phenomenon of size segregation. We find that the two approaches lead to similar results and seem to coincide in the limit of very low shaking amplitude. However they give different predictions of the crossovers from Brazil nut effect to reverse Brazil nut effect with respect to the shaking amplitude, which could be detected experimentally.
to appear on Physical Review Letters
References in corpus (15)
- The Bethe lattice spin glass revisited
- The Reverse Brazil Nut Problem: Competition between Percolation and Condensation
- Lattice Glass Models
- Edwards measures for powders and glasses
- Equilibrium phase behavior of polydisperse hard spheres
- Granular segregation as a critical phenomenon
- Dynamical response functions in models of vibrated granular media
- Tapping Spin Glasses
- A Statistical Mechanics Approach to the Inherent States of Granular Media
- Equilibrium Distribution of the Inherent States and their Dynamics in Glassy Systems and Granular Media
- Glass transition in granular media
- Variational Approach to Hard Sphere Segregation Under Gravity
- Segregation in hard spheres mixtures under gravity. An extension of Edwards approach with two thermodynamical parameters
- Gases, liquids and crystals in granular segregation
- Metastable states of the Ising chain with Kawasaki dynamics
Cited by in corpus (5)
- Mechanisms in the size segregation of a binary granular mixture
- Nonadditivity of Fluctuation-Induced Forces in Fluidized Granular Media
- Size segregation in granular media induced by phase transition
- Jamming transition in granular media: A mean field approximation and numerical simulations
- Granular segregation in dense systems: the role of statistical mechanics and entropy