Micro-rheology of a particle in a nonlinear bath: Stochastic Prandtl–Tomlinson model

Rohit Jain; Félix Ginot; Matthias Krüger

doi:10.1063/5.0062104

A stochastic Pella Tomlinson model and its maximum sustainable yield

Journal of Theoretical Biology ◽

10.1016/j.jtbi.2014.06.012 ◽

2014 ◽

Vol 360 ◽

pp. 46-53 ◽

Cited By ~ 7

Author(s):

Charles Bordet ◽

Louis-Paul Rivest

Keyword(s):

Maximum Sustainable Yield ◽

Sustainable Yield ◽

Tomlinson Model

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The description of friction of silicon MEMS with surface roughness: virtues and limitations of a stochastic Prandtl–Tomlinson model and the simulation of vibration-induced friction reduction

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.1.20 ◽

2010 ◽

Vol 1 ◽

pp. 163-171 ◽

Cited By ~ 9

Author(s):

W Merlijn van Spengen ◽

Viviane Turq ◽

Joost W M Frenken

Keyword(s):

Surface Roughness ◽

Critical Role ◽

Measurement Data ◽

Friction Model ◽

Friction Reduction ◽

Atomic Scale ◽

Mems Devices ◽

Tomlinson Model ◽

Atomic Force ◽

On Chip

We have replaced the periodic Prandtl–Tomlinson model with an atomic-scale friction model with a random roughness term describing the surface roughness of micro-electromechanical systems (MEMS) devices with sliding surfaces. This new model is shown to exhibit the same features as previously reported experimental MEMS friction loop data. The correlation function of the surface roughness is shown to play a critical role in the modelling. It is experimentally obtained by probing the sidewall surfaces of a MEMS device flipped upright in on-chip hinges with an AFM (atomic force microscope). The addition of a modulation term to the model allows us to also simulate the effect of vibration-induced friction reduction (normal-force modulation), as a function of both vibration amplitude and frequency. The results obtained agree very well with measurement data reported previously.

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Double-slip mechanism in atomic-scale friction: Tomlinson model at finite temperatures

Physical Review B ◽

10.1103/physrevb.72.235415 ◽

2005 ◽

Vol 72 (23) ◽

Cited By ~ 30

Author(s):

Jun Nakamura ◽

Shinya Wakunami ◽

Akiko Natori

Keyword(s):

Atomic Scale ◽

Slip Mechanism ◽

Tomlinson Model

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Atomistic Origins of Friction

Tribology on the Small Scale ◽

10.1093/oso/9780199609802.003.0011 ◽

2019 ◽

pp. 348-388

Author(s):

C. Mathew Mate ◽

Robert W. Carpick

Keyword(s):

Atomic Structure ◽

Real Life ◽

Static Friction ◽

Electronic Excitations ◽

Kinetic Friction ◽

Dynamic Simulations ◽

Tomlinson Model ◽

Current State ◽

Friction Models ◽

Kontorova Model

This chapter covers the current state of knowledge about how the shear strength (the force needed to slide one surface over another) originates at the atomic level. For adhesive friction, friction originates from the forces needed to move the atoms on one surface over the atomic structure of the opposing surface; the simplest model for adhesive friction is the cobblestone model. The Frenkel–Kontorova model, the Prandtl–Tomlinson model, and molecular dynamic simulations are typically used to show how the atomic structure of the surfaces leads to static friction. One exciting aspect of these friction models is the prediction of superlubricity or negligible friction for incommensurate sliding surfaces, which is now being realized in experiments. Also discussed is why superlubricity is not observed in real-life situations. As atoms and molecules slide over surfaces, kinetic friction originates from phonon and electronic excitations, which are typically studied using the quartz crystal microbalance (QCM).

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