Kondic L
Department of Mathematics, Duke University, Durham, North Carolina 27708, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):751-70. doi: 10.1103/physreve.60.751.
We present a model for the motion of hard spherical particles on a two-dimensional surface. The model includes both the interaction between the particles via collisions and the interaction of the particles with the substrate. We analyze in detail the effects of sliding and rolling friction, which are usually overlooked. It is found that the properties of this particulate system are influenced significantly by the substrate-particle interactions. In particular, sliding of the particles relative to the substrate after a collision leads to considerable energy loss for common experimental conditions. The presented results provide a basis that can be used to realistically model the dynamical properties of the system, and provide further insight into density fluctuations and related phenomena of clustering and structure formation.
我们提出了一个二维表面上硬球形颗粒运动的模型。该模型既包括颗粒间通过碰撞的相互作用，也包括颗粒与基底的相互作用。我们详细分析了通常被忽视的滑动摩擦和滚动摩擦的影响。结果发现，这种颗粒系统的性质受到基底 - 颗粒相互作用的显著影响。特别是，在常见实验条件下，碰撞后颗粒相对于基底的滑动会导致相当大的能量损失。所呈现的结果提供了一个可用于实际模拟系统动力学性质的基础，并为密度涨落以及相关的聚集和结构形成现象提供了进一步的见解。
