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Influence of Potential Shape on Constant-Force Atomic-Scale Sliding Friction Models

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Abstract

The majority of atomic-scale friction models in which sliding is proposed to occur over the atomic-scale energy corrugation at the sliding interface assume a simple sinusoidal potential. An analysis of these models shows that the energy barrier is reduced by the imposition of an external force F, becoming zero at a critical force defined as F*. It was first suggested by Prandtl that the energy barrier approaches a limiting value with a force dependence that is proportional to \(\left( {F^{*} - F} \right)^{{{\raise0.7ex\hbox{$3$} \!\mathord{\left/ {\vphantom {3 2}}\right.\kern-0pt} \!\lower0.7ex\hbox{$2$}}}}\). In order to explore the effects of the shape of the energy potential on the sliding behavior, this model is analyzed for constant-force sliding with a non-sinusoidal potential of the form \(\sin^{n} \left( {\frac{\pi x}{a}} \right)\), where n is an even integer ≥2. The same asymptotic dependence is found as suggested by Prandtl, where the proportionality constant depends on the shape of the potential. These results are used to calculate the velocity and temperature dependences of sliding friction for constant-force sliding over non-sinusoidal surface potentials.

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Acknowledgments

We thank the National Science Foundation for support of this work under Grant No. CMMI-1265742.

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Authors and Affiliations

  1. INFAP/CONICET, Universidad Nacional de San Luis, Ejército de los Andes 950, 5700, San Luis, Argentina

    Octavio J. Furlong & Sergio J. Manzi

  2. School of Engineering, University of California Merced, Merced, CA, 95343, USA

    Ashlie Martini

  3. Department of Chemistry and Biochemistry and Laboratory for Surface Studies, University of Wisconsin-Milwaukee, 3210 N Cramer Street, Milwaukee, WI, 53211, USA

    Wilfred T. Tysoe

Authors
  1. Octavio J. Furlong
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  2. Sergio J. Manzi
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  3. Ashlie Martini
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  4. Wilfred T. Tysoe
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Correspondence to Wilfred T. Tysoe.

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Furlong, O.J., Manzi, S.J., Martini, A. et al. Influence of Potential Shape on Constant-Force Atomic-Scale Sliding Friction Models. Tribol Lett 60, 21 (2015). https://doi.org/10.1007/s11249-015-0599-x

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