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The problem of critical damping in nanofriction

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Abstract

The progress that has been made in describing atomic friction in terms of mechanical instabilities of the stick-slip type masks the role of damping and makes researchers ignore the true mechanisms of dissipation. This study shows that there is a necessary condition for the realization of regular stick-slips occurring with atomic periodicity, which are observed in friction force microscopy (a variant of atomic force microscopy) experiments. This condition lies in the existence of a direct relation between the rate of dissipation and the characteristic frequency of a measuring system, i.e., its stiffness and mass (“critical damping”). The conclusion seems to be paradoxical; it indicates a nontrivial dissipation mechanism, which, according to the proposed explanation, essentially depends on memory effects.

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References

  1. Mate, C.M., McClelland, G.M., Erlandsson, R., and Chiang, S., Phys. Rev. Lett., 1987, vol. 59, p. 1942.

    Article  CAS  Google Scholar 

  2. Carpick, R.W. and Salmeron, M., Chem. Rev., 1997, vol. 97, p. 1163.

    Article  CAS  Google Scholar 

  3. Müser, M.N., Urbakh, M., and Robbins, M.O., Adv. Chem. Phys., 2003, vol. 126, p. 187.

    Article  Google Scholar 

  4. Gnecco, E., Bennewitz, R., Gyalog, T., et al., Phys. Rev. Lett., 2000, vol. 84, p. 1172.

    Article  CAS  Google Scholar 

  5. Krylov, S.Yu., Jinesh, K.B., Valk, H., et al., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2005, vol. 71, p. 065101.

    Article  Google Scholar 

  6. Prandtl, L., Z. Angew. Math. Mech., 1928, vol. 8, p. 85.

    Article  Google Scholar 

  7. Dudko, O.K., Filippov, A.E., Klafter, J., and Urbakh, M., Chem. Phys. Lett., 2002, vol. 352, p. 499.

    Article  CAS  Google Scholar 

  8. Roth, R., Glatzel, T., Steiner, P., et al., Tribol. Lett., 2010, vol. 39, p. 63.

    Article  CAS  Google Scholar 

  9. Johnson, K.L. and Woodhouse, I., Tribol. Lett., 1998, vol. 5, p. 155.

    Article  CAS  Google Scholar 

  10. Abel, D., Krylov, S.Yu., and Frenken, J.W.M., Phys. Rev. Lett., 2007, vol. 99, p. 166102.

    Article  CAS  Google Scholar 

  11. Krylov, S.Yu. and Frenken, J.W.M., New J. Phys., 2007, vol. 9, p. 398.

    Article  Google Scholar 

  12. Krylov, S.Yu., Dijksman, J.A., Van Loo, W.A., and Frenken, J.W.M., Phys. Rev. Lett., 2006, vol. 97, p. 166103.

    Article  Google Scholar 

  13. Hänggi, P. and Talkner, P., Rev. Mod. Phys., 1990, vol. 62, p. 251.

    Article  Google Scholar 

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Original Russian Text © S.Yu. Krylov, J.W.M. Frenken, 2012, published in Kolloidnyi Zhurnal, 2012, Vol. 74, No. 5, pp. 593–596.

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Krylov, S.Y., Frenken, J.W.M. The problem of critical damping in nanofriction. Colloid J 74, 569–572 (2012). https://doi.org/10.1134/S1061933X12050067

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  • DOI: https://doi.org/10.1134/S1061933X12050067

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