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024 7 _ |a 10.1103/PhysRevB.84.125419
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037 _ _ |a PreJuSER-19205
041 _ _ |a eng
082 _ _ |a 530
084 _ _ |2 WoS
|a Physics, Condensed Matter
100 1 _ |a Müser, M.H.
|b 0
|u FZJ
|0 P:(DE-Juel1)144442
245 _ _ |a Velocity dependence of kinetic friction in the Prandtl-Tomlinson model
260 _ _ |a College Park, Md.
|b APS
|c 2011
300 _ _ |a 125419
336 7 _ |a Journal Article
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440 _ 0 |a Physical Review B
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|v 84
500 _ _ |a Record converted from VDB: 12.11.2012
520 _ _ |a 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.
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542 _ _ |i 2011-09-08
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773 1 8 |a 10.1103/physrevb.84.125419
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|v 84
|y 2011
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773 _ _ |a 10.1103/PhysRevB.84.125419
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856 7 _ |u http://dx.doi.org/10.1103/PhysRevB.84.125419
856 4 _ |u https://juser.fz-juelich.de/record/19205/files/PhysRevB.84.125419.pdf
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