%0 Journal Article
%A Müser, M.H.
%T Velocity dependence of kinetic friction in the Prandtl-Tomlinson model
%J Physical review / B
%V 84
%N 12
%@ 1098-0121
%C College Park, Md.
%I APS
%M PreJuSER-19205
%P 125419
%D 2011
%Z Record converted from VDB: 12.11.2012
%X 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.
%K J (WoSType)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000294777100009
%R 10.1103/PhysRevB.84.125419
%U https://juser.fz-juelich.de/record/19205