Journal Article

PreJuSER-19205

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Velocity dependence of kinetic friction in the Prandtl-Tomlinson model

Müser, M. H.FZJ*

2011
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/10891  doi:10.1103/PhysRevB.84.125419

Abstract: The Prandtl-Tomlinson model for friction has been used extensively for the interpretation of atomic force microscopy data during the past decade. Up to this point, the kinetic friction F-k has nevertheless not been studied in a range of velocities v that would be sufficiently broad to cover the crossover from the high-velocity logarithmic to the low-velocity linear F-k(v) dependence. This gap will be closed here through a combination of an asymptotic analysis and direct simulations of the relevant Langevin equation. The simulations span three decades in temperature T and up to six decades in v. All numerical data can be fit quite accurately with a F-k = a(T) arsinh[v/v(c)(T)] law, where the prefactor a(T) scales with T-2/3. Correction terms proportional to odd powers of arsinh(v/v(c)), only need to be included at v >> v(c). Reasons are given as to why it is difficult to confirm meticulously the (ln v)(2/3) dependence of kinetic friction predicted by recent rate theories, although they can be easily modified to produce the correct prefactor to the a(T) alpha T-2/3 law.

Keyword(s): J

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Jülich Supercomputing Centre (JSC)

Research Program(s):

1. Scientific Computing (FUEK411) (FUEK411)
2. 411 - Computational Science and Mathematical Methods (POF2-411) (POF2-411)

Appears in the scientific report 2011

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