随机振动和外场作用下固体干摩擦的粘滑运动
Stick-slip motion of solids with dry friction subject to random vibrations and an external field
摘要：
我们研究了一个固体物体的动力学模型，该物体在随机振动的固体表面上移动，并受到恒定的外力。两个固体之间的干摩擦被建模为与物体相对于表面的速度的符号成比例的现象，因此在零速度时显示出不连续性。使用路径积分的方法，我们推导出解析表达式的物体的速度的转移概率和固定分布的工作所做的对象，由于外力。从后者的分布，我们还推导出的机械功波动，其中包括干摩擦的影响的波动关系。
英文摘要：
We investigate a model for the dynamics of a solid object, which moves over a randomly vibrating solid surface and is subject to a constant external force. The dry friction between the two solids is modeled phenomenologically as being proportional to the sign of the object's velocity relative to the surface, and therefore shows a discontinuity at zero velocity. Using a path integral approach, we derive analytical expressions for the transition probability of the object's velocity and the stationary distribution of the work done on the object due to the external force. From the latter distribution, we also derive a fluctuation relation for the mechanical work fluctuations, which incorporates the effect of the dry friction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
