Scaling and aging in the homogeneous cooling state of a granular fluid of hard particles
arXiv:0709.1035 · doi:10.1088/1751-8113/40/48/001
Abstract
The presence of the aging phenomenon in the homogeneous cooling state (HCS) of a granular fluid composed of inelastic hard spheres or disks is investigated. As a consequence of the scaling property of the -particle distribution function, it is obtained that the decay of the normalized two-time correlation functions slows down as the time elapsed since the beginning of the measurement increases. This result is confirmed by molecular dynamics simulations for the particular case of the total energy of the system. The agreement is also quantitative in the low density limit, for which an explicit analytical form of the time correlation function has been derived. The reported results also provide support for the existence of the HCS as a solution of the N-particle Liouville equation.
arXiv comment17 pages, 3 figures; v3 revised version (minor changes, corrected typos, v2=v1 due to a submission error)accepted for publication in J. Phys. A: Math. Theor
References in corpus (10)
- Theory of Phase Ordering Kinetics
- Memory Effects in Granular Material
- Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
- Evidence of aging in mean-field spin glass models
- Aging and multiscaling in out of equilibrium dynamical processes in granular media
- A model for the atomic-scale structure of a dense, nonequilibrium fluid: the homogeneous cooling state of granular fluids
- Diffusion in a Granular Fluid - Simulation
- Diffusion in a Granular Fluid - Theory
- Steady state representation of the homogeneous cooling state of a granular gas
- Linear response of vibrated granular systems to sudden changes in the vibration intensity
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