Figure 3
Dependence of the granular temperatures \({T}_{k}\) on the reduced mass of the particle \(k={m}_{k}/{m}_{1}\) for a heated granular gas with \({\Gamma }_{k}={k}^{\gamma }\). (a) For \(\gamma =1\) (velocity controlled driving), \(\gamma =2\) and \(\gamma =0.5\). The results of the solution of the system with the effective restitution coefficient are shown with thin lines (cooling rates \({\xi }_{ki}\), Eq. (13) with the restitution coefficient \(\langle {\varepsilon }_{ki}\rangle \), Eq. (18)), while the full solution of the system is given by the thick lines (cooling rates \({\xi }_{ki}\), Eq. (14)). Two solutions are practically indistinguishable. Symbols show the results of the DSMC simulations. The viscoelastic parameter is \(A{\kappa }^{2/5}=0.063\). (b) For \(\gamma =0\) (equal distribution for the energy input for all species) and negative values of the exponent γ: \(\gamma =-\,0.33,-\,0.47,-\,1\). The notations are the same as for the panel (a). The viscoelastic parameter is \(A{\kappa }^{2/5}=0.441\).
