受驱动基底上的滑块：两个极限吸引子之间的马尔可夫竞争
Slider on a Driven Substrate: Markovian Competition Between Two Limiting Attractors
摘要：
我们目前的实验数据的运动的镶边检查的一块抛光水平托盘上，在两个特定的条件下：与基板谐波振动在20 Hz，并与静态基板。后一个实验立即得出动摩擦系数。谐波实验结果对静摩擦系数非常敏感，其值比动摩擦系数高不到百分之一。由于驱动器的低谐加速度，静摩擦对滑块的运动有很大的影响。我们使用离散马尔可夫级数模型对滑块的运动进行建模，该模型在每个离散时间步在粘附尝试和返回到非粘附轨迹之间进行选择。目前的模型没有考虑驾驶员的加速度。在最后一节中，我们解释了走离的物理起源，在周期性但不对称驾驶的情况下。
英文摘要：
We present experimental data of the motion of a rimmed checker's piece on a polished horizontal tray, in two specific conditions: with the substrate harmonically shaken at 20 Hz, and with a static substrate. The latter experiment immediately yields the dynamic friction coefficient. The harmonic experimental results are very sensitive on the static friction coefficient, which is not even a percent higher than the dynamic one. Due to the low harmonic acceleration of the driver, the static friction has enormous influence on the slider's motion. We modeled the slider's motion using a discrete Markovian progression model, which at every discrete time-step chooses between a sticking attempt and a return to the non-sticking trajectory. The present model does not take into account the driver's acceleration. In the final section, we explain the physical origin of walk-off, in case of periodic but asymmetric driving.
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。
