论文标题
量子“接触”摩擦:动力学摩擦系数从热波动中的贡献
Quantum "contact" friction: the contribution of kinetic friction coefficient from thermal fluctuations
论文作者
论文摘要
动力摩擦的热模型被分配给在波动光滑的表面上移动的经典负载粒子。正弦波类似于弛豫时间的表面波动。哈密顿量近似于描述谐波振荡器系统的波的平均能量。振幅的量化在an灭和创建操作员乘以量子相的量化。此外,我们考虑了声学分散关系,并评估了力自相关函数的摩擦系数。虽然滑动粒子仍然是描述纳米颗粒或具有可忽略的量子效应(例如隧穿或在波函数中定位的尖端)的经典,但表面波动的量化模型导致动力学摩擦系数的温度依赖性。它遵循在低温下的渐近值和较高温度的临时值。
A thermal model of kinetic friction is assigned to a classical loaded particle moving on a fluctuating smooth surface. A sinusoidal wave resembles surface fluctuations with a relaxation time. The Hamiltonian is approximated to the mean energy of the wave describing a system of Harmonic oscillators. The quantization of amplitudes yields in terms of annihilation and creation operators multiplied by a quantum phase. Further, we consider acoustic dispersion relation and evaluate the friction coefficient from the force autocorrelation function. While the sliding particle remains classical describing a nano-particle or a tip with negligible quantum effects like tunneling or delocalization in the wave function, the quantized model of the surface fluctuations results in the temperature dependence of the kinetic friction coefficient. It follows an asymptotic value for higher temperatures and supperslipperiness at low temperatures.