Ab initio friction forces on the nanoscale: A density functional theory study of fcc Cu(111)

M. Wolloch, G. Feldbauer, P. Mohn, J. Redinger, and A. Vernes
Phys. Rev. B 90, 195418 – Published 13 November 2014
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Abstract

While there are a number of models that tackle the problem of calculating friction forces on the atomic level, providing a completely parameter-free approach remains a challenge. Here we present a quasistatic model to obtain an approximation to the nanofrictional response of dry, wearless systems based on quantum-mechanical all-electron calculations. We propose a mechanism to allow dissipative sliding, which relies on atomic relaxations. We define two different ways of calculating the mean nanofriction force, both leading to an exponential friction-versus-load behavior for all sliding directions. Since our approach does not impose any limits on the lengths and directions of the sliding paths, we investigate arbitrary sliding directions for an fcc Cu(111) interface and detect two periodic paths that form the upper and lower bound of nanofriction. For long aperiodic paths, the friction force converges to a value in between these limits. For low loads, we retrieve the Derjaguin generalization of the Amontons-Coulomb kinetic friction law, which appears to be valid all the way down to the nanoscale. We observe a nonvanishing Derjaguin offset even for atomically flat surfaces in dry contact.

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  • Received 9 January 2014
  • Revised 2 September 2014

DOI:https://doi.org/10.1103/PhysRevB.90.195418

©2014 American Physical Society

Authors & Affiliations

M. Wolloch1,2,*, G. Feldbauer1,2, P. Mohn1, J. Redinger1, and A. Vernes1,2

  • 1Institute of Applied Physics, Vienna University of Technology, Gußhausstraße 25-25a, 1040 Vienna, Austria
  • 2Austrian Center of Competence for Tribology, Viktor-Kaplan-Straße 2, 2700 Wiener Neustadt, Austria

  • *mwo@cms.tuwien.ac.at

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Issue

Vol. 90, Iss. 19 — 15 November 2014

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