Granular beads in a vibrating, quasi two-dimensional cell: The true shape of the effective pair potential
| Autor: | Gustavo M. Rodríguez-Liñán, Marco Heinen |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) Concave function Statistical Mechanics (cond-mat.stat-mech) Thermodynamic equilibrium Applied Mathematics FOS: Physical sciences 010103 numerical & computational mathematics Mechanics Condensed Matter - Soft Condensed Matter Atomic packing factor 01 natural sciences Computer Science Applications 010101 applied mathematics Condensed Matter::Soft Condensed Matter Computational Mathematics Particle packing Modeling and Simulation Soft Condensed Matter (cond-mat.soft) 0101 mathematics Pair potential Condensed Matter - Statistical Mechanics |
| DOI: | 10.48550/arxiv.1806.00862 |
| Popis: | 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 $r$. At low packing fraction, the shape of the effective potential is compatible with a one-parametric fit function proportional to $r^{-2}$. Comment: 9 pages, 8 figures, submitted to Phys. Rev. E (changes: added new figure, small corrections) |
| Databáze: | OpenAIRE |
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