标题： 动态摩擦和静态摩擦对非对称颗粒活塞的影响 显示英文标题

标题： Effect of dynamic and static friction on an asymmetric granular piston

摘要： 我们研究干摩擦对质量为$M$的非对称颗粒活塞的影响，该活塞由两种材料组成，并与质量为$m$的浴粒子发生非弹性碰撞。 数值模拟显示玻尔兹曼-洛伦兹方程存在两种根据摩擦强度而变化的标度区域。 在大摩擦极限下，我们引入一个精确模型，给出玻尔兹曼-洛伦兹方程的渐近行为。 对于小摩擦和大质量比$M/m$的情况，我们推导出一个福克-普朗克方程，其精确解也可获得。 静摩擦会减弱马达效应，并导致速度分布不连续。 显示英文摘要

摘要： We investigate the influence of dry friction on an asymmetric, granular piston of mass $M$ composed of two materials undergoing inelastic collisions with bath particles of mass $m$. Numerical simulations of the Boltzmann-Lorentz equation reveal the existence of two scaling regimes depending on the strength of friction. In the large friction limit, we introduce an exact model giving the asymptotic behavior of the Boltzmann-Lorentz equation. For small friction and for large mass ratio $M/m$, we derive a Fokker-Planck equation for which the exact solution is also obtained. Static friction attenuates the motor effect and results in a discontinuous velocity distribution.