Randomly driven granular fluids: Large-scale structure

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...

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Detalles Bibliográficos
Autores: Van Noije, T. P. C., Ernst, M. H., Trizac, Emmanuel, Pagonabarraga Mora, Ignacio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1999
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18791
Acceso en línea:https://hdl.handle.net/2445/18791
Access Level:acceso abierto
Palabra clave:Materials granulars
Equacions diferencials
Termodinàmica del desequilibri
Granular materials
Differential equations
Nonequilibrium thermodynamics
Descripción
Sumario: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.