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.
Similar content being viewed by others
References
Mate, C.M., McClelland, G.M., Erlandsson, R., and Chiang, S., Phys. Rev. Lett., 1987, vol. 59, p. 1942.
Carpick, R.W. and Salmeron, M., Chem. Rev., 1997, vol. 97, p. 1163.
Müser, M.N., Urbakh, M., and Robbins, M.O., Adv. Chem. Phys., 2003, vol. 126, p. 187.
Gnecco, E., Bennewitz, R., Gyalog, T., et al., Phys. Rev. Lett., 2000, vol. 84, p. 1172.
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.
Prandtl, L., Z. Angew. Math. Mech., 1928, vol. 8, p. 85.
Dudko, O.K., Filippov, A.E., Klafter, J., and Urbakh, M., Chem. Phys. Lett., 2002, vol. 352, p. 499.
Roth, R., Glatzel, T., Steiner, P., et al., Tribol. Lett., 2010, vol. 39, p. 63.
Johnson, K.L. and Woodhouse, I., Tribol. Lett., 1998, vol. 5, p. 155.
Abel, D., Krylov, S.Yu., and Frenken, J.W.M., Phys. Rev. Lett., 2007, vol. 99, p. 166102.
Krylov, S.Yu. and Frenken, J.W.M., New J. Phys., 2007, vol. 9, p. 398.
Krylov, S.Yu., Dijksman, J.A., Van Loo, W.A., and Frenken, J.W.M., Phys. Rev. Lett., 2006, vol. 97, p. 166103.
Hänggi, P. and Talkner, P., Rev. Mod. Phys., 1990, vol. 62, p. 251.
Author information
Authors and Affiliations
Additional information
Original Russian Text © S.Yu. Krylov, J.W.M. Frenken, 2012, published in Kolloidnyi Zhurnal, 2012, Vol. 74, No. 5, pp. 593–596.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061933X12050067