Energy dissipation of atomic-scale friction based on one- dimensional Prandtl–Tomlinson model

Zi-Jian WANG; Tian-Bao MA; Yuan-Zhong HU; Liang XU; Hui WANG

doi:10.1007/s40544-015-0086-2

Friction 2015, 3(2): 170-182 https://doi.org/10.1007/s40544-015-0086-2

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Open Access | Issue | Published: 30 June 2015

Energy dissipation of atomic-scale friction based on one- dimensional Prandtl–Tomlinson model

Show Author's Information Hide Author's Information Zi-Jian WANG^¹, Tian-Bao MA^¹(

), Yuan-Zhong HU^¹, Liang XU^², Hui WANG^¹

¹ State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China

² Beijing Institute of Nanoenergy and Nanosystems, Chinese Academy of Sciences, Beijing 100083, China

Keywords:

superlubricity, atomic-scale friction, energy reversibility, energy dissipation ratio

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WANG Z-J, MA T-B, HU Y-Z, et al. Energy dissipation of atomic-scale friction based on one- dimensional Prandtl–Tomlinson model. Friction, 2015, 3(2): 170-182. https://doi.org/10.1007/s40544-015-0086-2

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Abstract

The energy transition and dissipation of atomic-scale friction are investigated using the one-dimensional Prandtl–Tomlinson model. A systematic study of the factors influencing the energy dissipation is conducted, indicating that the energy that accumulated during the stick stage does not always dissipate completely during stick-slip motion. We adopt the energy-dissipation ratio (EDR) to describe the relationship between the energy dissipated permanently in the system and the conservative reversible energy that can be reintroduced to the driving system after the slip process. The EDR can change continuously from 100% to 0, covering the stick-slip, intermediate, and smooth-sliding regimes, depending on various factors such as the stiffness, potential-energy corrugation, damping coefficient, sliding velocity, and the temperature of the system. Among these, the parameter η, which depends on both the surface potential and the lateral stiffness, is proven in this paper to have the most significant impact on the EDR. According to η–T phase diagrams of the EDR, the smooth-sliding superlubricity and thermolubricity are found to be unified with regard to the energy dissipation and transition. An analytical formulation for the EDR that can be used to quantitatively predict the amount of energy dissipation is derived from a lateral-force curve.

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Energy dissipation of atomic-scale friction based on one- dimensional Prandtl–Tomlinson model

Show Author's information Hide Author's Information Zi-Jian WANG^¹, Tian-Bao MA^¹(

), Yuan-Zhong HU^¹, Liang XU^², Hui WANG^¹

¹ State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China

² Beijing Institute of Nanoenergy and Nanosystems, Chinese Academy of Sciences, Beijing 100083, China

Abstract

Keywords: superlubricity, atomic-scale friction, energy reversibility, energy dissipation ratio

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Acknowledgements

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Publication history

Received: 27 March 2015

Revised: 16 May 2015

Accepted: 01 June 2015

Published: 30 June 2015

Issue date: June 2021

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Acknowledgements

We thank Prof. Ashlie Martini and Dr. Yalin Dong for helpful discussions. This work is financially supported by the National Natural Science Foundation of China (Grant Nos. 51422504, 51375010, and 51371092) and the National Key Basic Research (973) Program of China (No. 2013CB934200). Computations were carried out on the “Explorer 100” cluster system of Tsinghua National Laboratory for Information Science and Technology.

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