A quasi-elastic regime for vibrated granular gases

S. Aumaître, A. Alastuey and S. Fauve ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 54, issue 2, 263-266

Abstract: Using simple scaling arguments and two-dimensional numerical simulations of a granular gas excited by vibrating one of the container boundaries, we study a double limit of small 1-r and large L, where r is the restitution coefficient and L the size of the container. We show that if the particle density n 0 and (1-r 2 )(n 0 Ld) where d is the particle diameter, are kept constant and small enough, the granular temperature, i.e. the mean value of the kinetic energy per particle, 〈E 〉/N, tends to a constant whereas the mean dissipated power per particle, 〈D 〉/N, decreases like $1/\sqrt{N}$ when N increases, provided that (1-r 2 )(n 0 Ld) 2 > 1. The relative fluctuations of E, D and the power injected by the moving boundary, I, have simple properties in that regime. In addition, the granular temperature can be determined from the fluctuations of the power I(t) injected by the moving boundary. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 45.70.-n Granular systems; 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2006-00447-7 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:54:y:2006:i:2:p:263-266

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2006-00447-7

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().