van Zon J S, MacKintosh F C
Division of Physics and Astronomy, Vrije Universiteit, 1081 HV Amsterdam, The Netherlands.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Nov;72(5 Pt 1):051301. doi: 10.1103/PhysRevE.72.051301. Epub 2005 Nov 11.
We investigate the idea that velocity distributions in granular gases are determined mainly by eta, the coefficient of restitution and q, which measures the relative importance of heating (or energy input) to collisions. To this end, we study by numerical simulation the properties of inelastic gases as functions of eta, concentration phi, and particle number N with various heating mechanisms. For a wide range of parameters, we find Gaussian velocity distributions for uniform heating and non-Gaussian velocity distributions for boundary heating. Comparison between these results and velocity distributions obtained by other heating mechanisms and for a simple model of a granular gas without spatial degrees of freedom, shows that uniform and boundary heating can be understood as different limits of q, with q>>1 and q < or approximately 1 respectively. We review the literature for evidence of the role of q in the recent experiments.
我们研究了这样一种观点，即颗粒气体中的速度分布主要由恢复系数η和q决定，q衡量了加热（或能量输入）对碰撞的相对重要性。为此，我们通过数值模拟研究了具有各种加热机制的非弹性气体的性质，这些性质是η、浓度φ和粒子数N的函数。在很宽的参数范围内，我们发现均匀加热时速度分布为高斯分布，边界加热时速度分布为非高斯分布。将这些结果与通过其他加热机制以及针对没有空间自由度的颗粒气体简单模型所获得的速度分布进行比较，结果表明均匀加热和边界加热可以理解为q的不同极限情况，分别对应q>>1和q≤1。我们查阅了文献，以寻找q在近期实验中作用的证据。
