Quantum “contact” friction: The contribution of kinetic friction coefficient from thermal fluctuations

A thermal model of kinetic friction is assigned to a classical loaded particle moving on fluctuating smooth surface. sinusoidal wave resembles surface fluctuations with relaxation time. The Hamiltonian approximated the mean energy describing system Harmonic oscillators. quantization amplitudes yields in terms annihilation and creation operators multiplied by quantum phase. Further, we consider acoustic dispersion relation evaluate coefficient from force autocorrelation function. While sliding remains nano-particle or tip negligible effects like tunneling delocalization function, quantized results temperature dependence coefficient. It follows an asymptotic value for higher temperatures supperslipperiness at low temperatures.