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Velocity and forced excitation effects on atomic friction force with deformable substrate

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Abstract

We have investigated the effect of scan velocity on atomic friction force in a Prandtl–Tomlinson model at finite temperature. We use a nonsinusoidal substrate potential with variable shape to capture surface features. The velocity dependence of atomic friction force is classified into two regimes: thermal and athermal regimes. We numerically find turning velocity between these two regimes, and its shape parameter dependence is determined. Furthermore, we have studied the torsional oscillation effect on a cantilever. We show that friction force can be reduced by controlling the frequency and the amplitude of the superimposed torsional oscillation at low scan velocity. The numerical calculations have shown that the substrate shape strongly affects the occurrence of resonances, so the torsional resonance frequency dependence of the shape parameter is established.

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References

  1. Binnig, G., Quate, C., Gerber, C.: Atomic force microscope. Phys. Rev. Lett. 56, 930 (1986)

    Article  Google Scholar 

  2. Carpick, R.W., Salmeron, M.: Scratching the surface: fundamental investigations of tribology with atomic force microscopy. Chem. Rev. 97, 1163–1194 (1997)

    Article  Google Scholar 

  3. Mate, C.M., McClelland, G.M., Erlandsson, R., Chiang, S.: Atomic-scale friction of a tungsten tip on a graphite surface. Phys. Rev. Lett. 59, 1942–1945 (1987)

    Article  Google Scholar 

  4. Zwörner, O., Hölscher, H., Schwarz, U.D., Wiesendanger, R.: The velocity dependence of frictional forces in point-contact friction. Appl. Phys. A 66, S263 (1998)

    Article  Google Scholar 

  5. Gnecco, E., Bennewitz, R., Gyalog, T., Loppacher, Ch., Bammerlin, M., Meyer, E., Güntherodt, H.J.: Velocity dependence of atomic friction. Phys. Rev. Lett. 84, 1172 (2000)

    Article  Google Scholar 

  6. Sang, Y., Dubé, M., Grant, M.: Thermal effects on atomic friction. Phys. Rev. Lett. 87, 174301 (2001)

    Article  Google Scholar 

  7. Dong, Y., Perez, D., Gao, H., Martini, A.: Thermal activation in atomic friction: revisiting the theoretical analysis. J. Phys. Condens. Matter. 24, 265001 (2012)

    Article  Google Scholar 

  8. Igarashi, M., Nakamura, J., Natori, A.: Mechanism of velocity saturation of atomic friction force and dynamic superlubricity at torsional resonance. Jpn. Soc. Appl. Phys. 46, 5591–5594 (2007)

    Article  Google Scholar 

  9. Roth, R., Fajardo, O.Y., Mazo, J.J., Mayer, E., Gnecco, E.: Lateral vibration effects in atomic-scale friction. Appl. Phys. Lett. 104, 083103 (2014)

    Article  Google Scholar 

  10. Fajardo, O.Y., Gnecco, E., Mazo, J.J.: Out-of-plane and in-plane actuation effects on atomic-scale friction. Phys. Rev. B 89, 075423 (2014)

    Article  Google Scholar 

  11. Einstein, T.L., Hertz, J., Schrieffer, J.R.: Theoretical issues in chemisorption. In: Smith, J.R. (ed.) Theory of Chemisorption. Springer, Berlin (1980)

  12. Muscat, J.P.: The role of H–H interaction in the formation of ordered structure on Ni and Pd single crystals. Surf. Sci. 110, 85 (1981)

    Article  Google Scholar 

  13. Johanson, P.K., Hjlemberg, H.: Charge density oscillations around a hyrrogen adatom on simple metal surfaces and their importance for adatom–adatom interaction. Surf. Sci. 80, 171 (1979)

  14. Nordlander, P., Holmströn, S.: Indirect electronic interaction between hydrogen atoms adsorbed on metals. Surf. Sci. 159, 443 (1985)

    Article  Google Scholar 

  15. Fajardo, O.Y., Mazo, J.J.: Effects of surface disorder and temperature on atomic friction. Phys. Rev. B 82, 035435 (2010)

  16. Fajardo, O.Y., Mazo, J.J.: Surface defects and temperature on atomic friction. J. Phys. Condens. Matter 23, 355008 (2011)

  17. Djuidje Kenmoe, G., Jiotsa, A.K., Kofane, T.C.: Stick-slip motion in a driven two nonsinusoidal Remoissenet–Peyrard potential. Phys. D 191, 31 (2004)

    Article  MATH  Google Scholar 

  18. Furlong, O., Manzi, S., Pereyra, V., Bustos, V., Tysoe, W.: Monte Carlo simulation for Tomlinson sliding models for non-sinusoidal periodic potential. Tribol. Lett. 39, 177 (2010)

    Article  Google Scholar 

  19. Djuidje Kenmoe, G., Kofane,T.C.: Frictional stick-slip dynamics in a deformable potential. In:Bhushan, B. (ed.) Scanning Probe Microscopy in Nanoscience and Nanotechnology, vol. 2, p. 533. Springer, Heidelberg (2011)

  20. Motchongom-Tingue, M., Djuidje Kenmoe, G., Kofane, T.C.: Stick-slip motion and static friction in a nonlinear deformable substrate potential. Tribol. Lett. 43, 65 (2011)

    Article  Google Scholar 

  21. Motchongom-Tingue, M., Djuidje Kenmoe, G., Kofane, T.C.: Smart dampers control in a Remoissenet–Peyrard substrate potential. Nonlinear Dyn. 69, 379–389 (2012)

    Article  MathSciNet  Google Scholar 

  22. Djuidje Kenmoe, G., Djiha Tchaptchet, E., Kofane, T.C.: Thermal effect on atomic friction with deformable substrate. Tribol. Lett. 55, 533–542 (2014)

    Article  Google Scholar 

  23. Remoissenet, M., Peyrard, M.: Solitonlike excitations in a one dimensional atomic chain with a nonlinear deformable substrate potential. Phys. Rev. B 26, 2884 (1982)

    Google Scholar 

  24. Riedo, E., Gnecco, E., Bennewitz, R., Meyer, E., Brune, H.: Interaction potential and hopping dynamics governing sliding friction. Phys. Rev. Lett. 91, 084502 (2003)

    Article  Google Scholar 

  25. Kasdin, N.: Runge–Kutta algorithm for the numerical integration of stochastic differential equations. J. Guid. Control Dyn. 18, 114 (1995)

    Article  MATH  Google Scholar 

  26. Dong, Y., Vadakkepatt, A., Martini, A.: Analytical model for atomic friction. Tribol. Lett. 44, 367386 (2011)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Laboratory of Mechanics, Faculty of Science, University of Yaoundé 1, P. O. Box 812, Yaoundé, Cameroon

    E. Djiha Tchaptchet & G. Djuidje Kenmoe

  2. Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC), University of Yaoundé 1, Yaoundé, Cameroon

    G. Djuidje Kenmoe

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  1. E. Djiha Tchaptchet
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  2. G. Djuidje Kenmoe
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Correspondence to E. Djiha Tchaptchet.

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Djiha Tchaptchet, E., Djuidje Kenmoe, G. Velocity and forced excitation effects on atomic friction force with deformable substrate. Nonlinear Dyn 82, 961–969 (2015). https://doi.org/10.1007/s11071-015-2210-2

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  • DOI: https://doi.org/10.1007/s11071-015-2210-2

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