Granular beads in a vibrating, quasi two-dimensional cell: The true shape of the effective pair potential
arXiv:1806.00862 · doi:10.1016/j.jcp.2019.05.047
Abstract
Steady-state pair correlations between inelastic granular beads in a vertically shaken, quasi two-dimensional cell can be mapped onto the particle correlations in a truly two-dimensional reference fluid in thermodynamic equilibrium. Using Granular Dynamics simulations and Iterative Ornstein--Zernike Inversion, we demonstrate that this mapping applies in a wide range of particle packing fractions and restitution coefficients, and that the conservative reference particle interactions are simpler than it has been reported earlier. The effective potential appears to be a smooth, concave function of the particle distance . At low packing fraction, the shape of the effective potential is compatible with a one-parametric fit function proportional to .
arXiv comment9 pages, 8 figures, submitted to Phys. Rev. E (changes: added new figure, small corrections)
References in corpus (13)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Clustering, Order, and Collapse in a Driven Granular Monolayer
- Uncorrelated Modes of the Nonlinear Power Spectrum
- Velocity Distributions & Density Fluctuations in a 2D Granular Gas
- Derivation of coarse-grained potentials via multistate iterative Boltzmann inversion
- Non-equilibrium two-phase coexistence in a confined granular layer
- Sudden Collapse of a Granular Cluster
- Crucial role of sidewalls in velocity distributions in quasi-2D granular gases
- Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions
- Effective two-dimensional model for granular matter with phase separation
- Calculating particle pair potentials from fluid-state pair correlations: Iterative Ornstein-Zernike Inversion
- Diffusivity and Weak Clustering in a Quasi 2D Granular Gas
- Effective potentials in a bidimensional vibrated granular gas