This title appears in the Scientific Report :
2011
Please use the identifier:
http://hdl.handle.net/2128/10891 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevB.84.125419 in citations.
Velocity dependence of kinetic friction in the Prandtl-Tomlinson model
Velocity dependence of kinetic friction in the Prandtl-Tomlinson model
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 cros...
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Personal Name(s): | Müser, M.H. |
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Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | Physical Review B Physical review / B, 84 84 (2011 2011) 12 12, S. 125419 125419 |
Imprint: |
College Park, Md.
APS
2011
|
Physical Description: |
125419 |
DOI: |
10.1103/PhysRevB.84.125419 |
Document Type: |
Journal Article |
Research Program: |
Computational Science and Mathematical Methods Scientific Computing |
Series Title: |
Physical Review B
84 |
Subject (ZB): | |
Link: |
Get full text OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevB.84.125419 in citations.
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. |