We study analytically and numerically the distribution of granular temperatures in granular mixtures for different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems are analyzed. We demonstrate that the simplified model of a constant restitution coefficient fails to predict even qualitatively a granular temperature distribution in a homogeneous cooling state. At the same time we reveal for driven systems a stunning result - the distribution of temperatures in granular mixtures is universal. That is, it does not depend on a particular dissipation mechanism of inter-particles collisions, provided the size distributions of particles is steep enough. The results of the analytic theory are compared with simulation results obtained by the direct simulation Monte Carlo (DSMC). The agreement between the theory and simulations is perfect. The reported results may have important consequences for fundamental science as well as for numerous application, e.g. for the experimental modelling in a lab of natural processes.

中文翻译：

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驱动的颗粒混合物中的温度分布不取决于能量耗散的机制。

我们分析和数值研究非弹性粒子间碰撞的不同耗散机制的颗粒混合物中的颗粒温度分布。对驱动系统和无力系统都进行了分析。我们证明了恒定恢复系数的简化模型无法在均匀冷却状态下甚至定性地预测颗粒温度分布。同时，我们为驱动系统揭示了惊人的结果-粒状混合物中的温度分布是普遍的。也就是说，只要粒子的尺寸分布足够陡峭，它就不取决于粒子间碰撞的特定耗散机制。将分析理论的结果与直接模拟蒙特卡洛（DSMC）获得的模拟结果进行比较。理论与仿真之间的一致性是完美的。报告的结果可能对基础科学以及众多应用（例如，自然过程实验室中的实验建模）具有重要影响。