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Randomly driven granular fluids: Large-scale structure
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The nonequilibrium steady state of a granular fluid, driven by a random external force, is demonstrated to exhibit long-range correlations, which behave as $\ensuremath{\sim}1/r$ in three and $\ensuremath{\sim}\mathrm{ln}(L/r)$ in two dimensions. We calculate the corresponding structure factors over the whole range of wave numbers, and find good agreement with two-dimensional molecular dynamics simulations. It is also shown by means of a mode coupling calculation, how the mean field values for the steady-state temperature and collision frequency, as obtained from the Enskog-Boltzmann equation, are renormalized by long wavelength hydrodynamic fluctuations.
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VAN NOIJE, T. P. C., et al. Randomly driven granular fluids: Large-scale structure. Physical Review e. 1999. Vol. 59, num. 4, pags. 4326-4341. ISSN 1063-651X. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/18791