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@ARTICLE{Mser:19205,
      author       = {Müser, M.H.},
      title        = {{V}elocity dependence of kinetic friction in the
                      {P}randtl-{T}omlinson model},
      journal      = {Physical review / B},
      volume       = {84},
      number       = {12},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-19205},
      pages        = {125419},
      year         = {2011},
      note         = {Record converted from VDB: 12.11.2012},
      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.},
      keywords     = {J (WoSType)},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {Scientific Computing (FUEK411) / 411 - Computational
                      Science and Mathematical Methods (POF2-411)},
      pid          = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411},
      shelfmark    = {Physics, Condensed Matter},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000294777100009},
      doi          = {10.1103/PhysRevB.84.125419},
      url          = {https://juser.fz-juelich.de/record/19205},
}