Scheffler, Tim; Wolf, Dietrich:
Collision rates in charged granular gases
In: Granular matter, Jg. 4 (2002), Heft 3, S. 103 - 113
2002Artikel/Aufsatz in ZeitschriftPhysik
Collision rates in charged granular gases
Scheffler, Tim; Wolf, DietrichLSF


The dissipation rate due to inelastic collisions between equally charged, insulating particles in a granular gas is calculated. It is equal to the known dissipation rate for uncharged granular media multiplied by a Boltzmann-like factor, that originates from Coulomb repulsion. Particle correlations lead to an effective potential that replaces the bare Coulomb potential in the Boltzmann factor. Collisional cooling in a granular gas proceeds with the known t−2-law, until the kinetic energy of the grains becomes smaller than the Coulomb barrier. Then the granular temperature approaches a time dependence proportional to 1lnt . If the particles have different charges of equal sign, the collision rate can always be lowered by redistributing the charge, until all particles carry the same charge. Finally granular flow through a vertical pipe is briefly discussed. All results are confirmed by computer simulations.