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Long separation times between particles and limitation of the ghost collision approximation

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It has been noticed that the “ghost collision” approximation, consisting in counting the number of collisions occurring between particles moving in a flow without any interaction, leads to an overestimation of the collision kernel in numerical simulations, as well as in theory. Here, we investigate the effect from the point of view of particles, and relate it to the very wide distribution of the duration necessary for two particles to separate.

Author(s):

Michel Voßkuhle    
ENS Lyon
France

Alain Pumir    
ENS Lyon
France

Emmanuel Lévêque    
ENS Lyon
France