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Friction 2023, 11(10): 1877-1894 https://doi.org/10.1007/s40544-022-0719-1
Research Article | Open Access | Issue | Published: 05 May 2023

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

Show Author's Information Rasoul KHEIRI( )
Skolkovo Institute of Science and Technology, Moscow 121205, Russia
Keywords:
phonon, thermal model, kinetic friction coefficient, fluctuation-dissipation, quantum friction
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KHEIRI R. Quantum "contact" friction: The contribution of kinetic friction coefficient from thermal fluctuations. Friction, 2023, 11(10): 1877-1894. https://doi.org/10.1007/s40544-022-0719-1
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Abstract Full text Electronic supplementary material About this article

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 supper-slipperiness at low temperatures.


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About this article

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

Show Author's information Rasoul KHEIRI( )
Skolkovo Institute of Science and Technology, Moscow 121205, Russia

Abstract

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 supper-slipperiness at low temperatures.

Keywords: phonon, thermal model, kinetic friction coefficient, fluctuation-dissipation, quantum friction

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Received: 09 February 2022
Revised: 14 July 2022
Accepted: 02 November 2022
Published: 05 May 2023
Issue date: October 2023

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© The author(s) 2022.

Acknowledgements

The author acknowledges Prof. Nikolai Brilliantov for suggesting the problem and thanks his lab members for their discussions. I am also thankful to Prof. Anatoly Dymarsky for our correspondence.

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