TY  - JOUR
AU  - Müser, M.H.
TI  - Velocity dependence of kinetic friction in the Prandtl-Tomlinson model
JO  - Physical review / B
VL  - 84
IS  - 12
SN  - 1098-0121
CY  - College Park, Md.
PB  - APS
M1  - PreJuSER-19205
SP  - 125419
PY  - 2011
N1  - Record converted from VDB: 12.11.2012
AB  - 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.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000294777100009
DO  - DOI:10.1103/PhysRevB.84.125419
UR  - https://juser.fz-juelich.de/record/19205
ER  -