Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-09-07
J. Phys. A: Math. Theor. 40 (2007) 14331-14342
Physics
Condensed Matter
Statistical Mechanics
17 pages, 3 figures; v3 revised version (minor changes, corrected typos, v2=v1 due to a submission error)accepted for publicat
Scientific paper
10.1088/1751-8113/40/48/001
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 $N$-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.
Brey Javier J.
de Soria I. Garcia M.
Maynar P.
Prados Ana
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