The equation of state for almost elastic, smooth, polydisperse granular gases for arbitrary density

Stefan Luding*, Oliver Strauß

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

5 Citations (Scopus)


Simulation results of dense granular gases with particles of different size are compared with theoreticalpredictions concerning the pair-correlation functions, the collison rate, the energy dissipation, and the mixture pressure. The effective particle-particle correlation function, which enters the equation of state in the same way as the correlation function of monodisperse granular gases, depends only on the total volume fraction and on the dimensionless width A of the size-distribution function. The global equation of state is proposed, which unifies both the dilute and the dense regime. The knowledge about a global equation of state is applied to steady-state situations of granular gases in the gravitational field, where averages over many snapshots are possible. The numerical results on the density profile agree perfectly with the predictions based on the global equation of state, for monodisperse situations. In the bi- or polydisperse cases, segregation occurs with the heavy particles at the bottom.

Original languageEnglish
Title of host publicationGranular Gases
EditorsThorsten Pöschel, Stefan Luding
Number of pages27
ISBN (Electronic)978-3-540-44506-7
ISBN (Print)978-3-540-41458-2, 978-3-642-07473-8
Publication statusPublished - 1 Jan 2001
Externally publishedYes

Publication series

NameLecture Notes in Physics
ISSN (Print)0075-8450
ISSN (Electronic)1616-6361


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