### Abstract

The dynamics of sheared inelastic-hard-sphere systems is studied using nonequilibrium molecular-dynamics simulations and direct simulation Monte Carlo. In the molecular-dynamics simulations Lees-Edwards boundary conditions are used to impose the shear. The dimensions of the simulation box are chosen to ensure that the systems are homogeneous and that the shear is applied uniformly. Various system properties are monitored, including the one-particle velocity distribution, granular temperature, stress tensor, collision rates, and time between collisions. The one-particle velocity distribution is found to agree reasonably well with an anisotropic Gaussian distribution, with only a slight overpopulation of the high-velocity tails. The velocity distribution is strongly anisotropic, especially at lower densities and lower values of the coefficient of restitution, with the largest variance in the direction of shear. The density dependence of the compressibility factor of the sheared inelastic-hard-sphere system is quite similar to that of elastic-hard-sphere fluids. As the systems become more inelastic, the glancing collisions begin to dominate over more direct, head-on collisions. Examination of the distribution of the times between collisions indicates that the collisions experienced by the particles are strongly correlated in the highly inelastic systems. A comparison of the simulation data is made with direct Monte Carlo simulation of the Enskog equation. Results of the kinetic model of Montanero [J. Fluid Mech. 389, 391 (1999)] based on the Enskog equation are also included. In general, good agreement is found for high-density, weakly inelastic systems.

Original language | English |
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Article number | 041308 |

Number of pages | 10 |

Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |

Volume | 79 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 2009 |

### Keywords

- compressibility
- Gaussian distribution
- liquid theory
- molecular dynamics method
- Monte Carlo methods
- statistical mechanics
- rapid granular flows
- kinetic-theory
- molecular-dynamics
- Enskog equation
- circular disks
- couette-flow
- dense
- fluid
- gas
- fluctuations

## Cite this

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*,

*79*(4), [041308]. https://doi.org/10.1103/PhysRevE.79.041308