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@ARTICLE{Dapp:173412,
      author       = {Dapp, Wolfgang and Prodanov, Mykola and Müser, Martin},
      title        = {{S}ystematic analysis of {P}ersson's contact mechanics
                      theory of randomly rough elastic surfaces},
      journal      = {Journal of physics / Condensed matter},
      volume       = {26},
      number       = {35},
      issn         = {1361-648X},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2014-06822},
      pages        = {355002},
      year         = {2014},
      abstract     = {We systematically check explicit and implicit assumptions
                      of Persson's contact mechanics theory. It casts the
                      evolution of the pressure distribution Pr(p) with increasing
                      resolution of surface roughness as a diffusive process, in
                      which resolution plays the role of time. The tested key
                      assumptions of the theory are: (a) the diffusion coefficient
                      is independent of pressure p, (b) the diffusion process is
                      drift-free at any value of p, (c) the point p = 0 acts as an
                      absorbing barrier, i.e., once a point falls out of contact,
                      it never re-enters again, (d) the Fourier component of the
                      elastic energy is only populated if the appropriate wave
                      vector is resolved, and (e) it no longer changes when even
                      smaller wavelengths are resolved. Using high-resolution
                      numerical simulations, we quantify deviations from these
                      approximations and find quite significant discrepancies in
                      some cases. For example, the drift becomes substantial for
                      small values of p, which typically represent points in real
                      space close to a contact line. On the other hand, there is a
                      significant flux of points re-entering contact. These and
                      other identified deviations cancel each other to a large
                      degree, resulting in an overall excellent description for
                      contact area, contact geometry, and gap distribution
                      functions. Similar fortuitous error cancellations cannot be
                      guaranteed under different circumstances, for instance when
                      investigating rubber friction. The results of the
                      simulations may provide guidelines for a systematic
                      improvement of the theory.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411)},
      pid          = {G:(DE-HGF)POF2-411},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000341110600004},
      doi          = {10.1088/0953-8984/26/35/355002},
      url          = {https://juser.fz-juelich.de/record/173412},
}