Randomly driven granular fluids: large scale structure

T.P.C. van Noije; M.H. Ernst; E. Trizac; I. Pagonabarraga

doi:10.1103/PhysRevE.59.4326

Randomly driven granular fluids: large scale structure

T.P.C. van Noije, M.H. Ernst, E. Trizac, I. Pagonabarraga

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Abstract

The nonequilibrium steady state of a granular fluid, driven by a random external force, is demonstrated to exhibit long-range correlations, which behave as ∼1/r in three and ∼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.

Original language	English
Pages (from-to)	4326-4341
Number of pages	16
Journal	Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	59
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.59.4326
Publication status	Published - Apr 1999

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title = "Randomly driven granular fluids: large scale structure",

abstract = "The nonequilibrium steady state of a granular fluid, driven by a random external force, is demonstrated to exhibit long-range correlations, which behave as ∼1/r in three and ∼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.",

author = "{van Noije}, T.P.C. and M.H. Ernst and E. Trizac and I. Pagonabarraga",

year = "1999",

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doi = "10.1103/PhysRevE.59.4326",

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AU - van Noije, T.P.C.

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AU - Trizac, E.

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N2 - The nonequilibrium steady state of a granular fluid, driven by a random external force, is demonstrated to exhibit long-range correlations, which behave as ∼1/r in three and ∼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.

AB - The nonequilibrium steady state of a granular fluid, driven by a random external force, is demonstrated to exhibit long-range correlations, which behave as ∼1/r in three and ∼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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DO - 10.1103/PhysRevE.59.4326

M3 - Article

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JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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ER -

Randomly driven granular fluids: large scale structure

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