Fragmenting granular gasesR. Cruz Hidalgo and I. Pagonabarraga
Departament de Física Fonamental, Universitat de Barcelona - Carrer Martí i Franqués 1, E-08028 Barcelona, Spain
received 30 June 2006; accepted in final form 26 January 2007; published March 2007
published online 13 March 2007
We study the dynamics of granular gases which fragment due to their collisions. We have developed a kinetic model that accounts for the correlations between grains' size and velocity at collisions. We analyze how the fragmentation events taking place at collisions affect the growth in the number of grains, and also which distribution of grain' sizes they give rise to. We describe the effects that the mechanisms which control the fragmentation process have on the kinetics of the granular mixture, and have characterized the different kinetic regimes they give rise to, depending on the asymptotic behavior of the fragmentation probability. In these different scenarios the size and velocity distributions display also distinct features, and hence can be used to understand the physical processes in fragmenting systems.
46.50.+a - Fracture mechanics, fatigue and cracks.
45.70.-n - Granular systems.
05.20.Dd - Kinetic theory.
© Europhysics Letters Association 2007