Figure 1
(a) Evolution of granular temperatures \({T}_{1}\) and \({T}_{200}\) in the granular gas in a homogeneous cooling statefor the velocity-dependent restitution coefficient, Eq. (4). The dotted line shows the asymptotics \(\sim {t}^{-\mathrm{5/3}}\). Symbols show the results of the DSMC simulations. (b) Dependence of the granular temperatures \({T}_{k}\) in the HCS on the reduced mass of the particle \(k={m}_{k}/{m}_{1}\) at different times. Solid lines correspond to viscoelastic particles (solution of system of Eq. (11) with \({\xi }_{ik}\) in the form Eq. (14) with \(A{\kappa }^{2/5}=0.441\). Symbols show the results of the DSMC simulations. The dotted line shows the slope of the temperature distribution for the case of a constant \(\varepsilon \).
