1-d granular gas with little dissipation in 0-g : A comment on "Resonance oscillations in Granular gases"

Details 1-d granular gas with little dissipation in 0-g : A comment on "Resonance oscillations in Granular gases" 1-d granular gas with little dissipation in 0-g : A comment on "Resonance oscillations in Granular gases"

2005-06-24

arxiv.org/abs/cond-mat/0506658v1

Poudres & Grains 12, 50-59, (2001), ISSN 1257-3957

Physics

Condensed Matter

Soft Condensed Matter

10 pages + 1 page, 1 figure

Scientific paper

It is demonstrated that recent results on 1d granular gas in a container with a vibrating piston, which was modelled by a shock wave propagation, can be understood with a modelling using ideas coming from the "thermodynamics of a single particle". Defining e as the square root of the energetic-restitution coefficient of a single collision, and N as the total number of grains, the mean loss during a round trip of the momentum is calculated in the limit N(1-e)<<1. It is also demonstrated that the system cannot propagate sound waves nor shock waves in the limit of N(1-e)<<1 and that hydrodynamics equations cannot be defined when N(1-e)<<1. Pacs # : 5.40 ; 45.70 ; 62.20 ; 83.70.Fn

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