Skip to main content
SpringerLink
Log in

Velocity dependence of atomic friction: Rate theory and beyond

  • Chapter
Book cover Fundamentals of Friction and Wear

Part of the book series: NanoScience and Technology ((NANO))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Urbakh, J. Klafter, D. Gourdon, and J. Israelachvili, Nature 430, 525 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  2. N.J. Mosey, M.H. Müser, and T.K. Woo, Science 307, 1612 (2005)

    Article  PubMed  ADS  CAS  Google Scholar 

  3. C.M. Mate, G.M. McClelland, R. Erlandsson, and S. Chiang, Phys. Rev. Lett. 59, 1942 (1987)

    Article  PubMed  ADS  CAS  Google Scholar 

  4. G. Binning, C.F. Quate, and Ch. Gerber, Phys. Rev. Lett. 56, 930 (1986)

    Article  ADS  Google Scholar 

  5. G.V. Dedkov, Physics Uspekhi 43, 541 (2000)

    Article  CAS  Google Scholar 

  6. B.N.J. Persson, Sliding Friction, Springer, Berlin, 2000

    MATH  Google Scholar 

  7. E. Gnecco, R. Bennewitz, T. Gyalog, and E. Meyer, J. Phys.: Condens. Matter 13, R619 (2001)

    Article  ADS  CAS  Google Scholar 

  8. M.R. Sorensen, K.W. Jacobsen, and P. Stoltze, Phys. Rev. B 53, 2101 (1996)

    Article  ADS  Google Scholar 

  9. A.I. Livshits and A.L. Shluger, Phys. Rev. B 56, 12482 (1997)

    Article  ADS  CAS  Google Scholar 

  10. H. Grabert, Projection operator techniques in nonequilibrium statistical mechanics, Springer, Berlin 1982

    Google Scholar 

  11. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  12. H. Risken, The Fokker-Planck equation, Springer, Berlin 1984

    MATH  Google Scholar 

  13. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990)

    Article  ADS  Google Scholar 

  14. P. Reimann, Phys. Rep. 361, 57 (2002)

    Article  MATH  ADS  CAS  MathSciNet  Google Scholar 

  15. A. Socoliuc, R. Bennewitz, E. Gnecco, and E. Meyer, Phys. Rev. Lett. 92, 134301 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  16. D. Tománek, W. Zhong, and H. Thomas, Europhys. Lett. 15, 887 (1991)

    Article  ADS  Google Scholar 

  17. P. Reimann and M. Evstigneev, New Journ. Phys. 7, 25 (2005)

    Article  Google Scholar 

  18. M.A. Lantz, S. J. O’Shea, M.E. Welland, and K.L. Johnson, Phys. Rev. B 55, 10776 (1997)

    Article  ADS  CAS  Google Scholar 

  19. M.A. Lantz, S. J. O’Shea, A.C.F. Hoole, and M.E. Welland, Appl. Phys. Lett. 70, 970 (1997)

    Article  ADS  CAS  Google Scholar 

  20. J. Colchero, A. M. Baró, and O. Marti, Tribology Lett. 2, 327 (1996)

    Article  CAS  Google Scholar 

  21. R.W. Carpick, D.F. Ogletree, and M. Salmeron, Appl. Phys. Lett. 70, 1548 (1997)

    Article  ADS  CAS  Google Scholar 

  22. K.L. Johnson and J. Woodhouse, Tribology Lett. 5, 155 (1998)

    Article  CAS  Google Scholar 

  23. R. Bennewitz, T. Gyalog, M. Guggisberg, M. Bammerlin, E. Meyer, and H.-J. Güntherodt, Phys. Rev. B 60, R11301 (1999)

    Article  ADS  CAS  Google Scholar 

  24. R. Kubo, Rep. Progr. Phys. 29, 255 (1966)

    Article  ADS  CAS  Google Scholar 

  25. P. Reimann, Chem. Phys. 268, 337 (2001)

    Article  CAS  Google Scholar 

  26. P. Reimann and M. Evstigneev, Phys. Rev. Lett. 93, 230802 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  27. S. Sills and R. Overney, Phys. Rev. Lett. 91, 095501 (2003)

    Article  PubMed  ADS  CAS  Google Scholar 

  28. Y. Sang, M. Dubé, and M. Grant, Phys. Rev. Lett. 87, 174301 (2001)

    Article  PubMed  ADS  CAS  Google Scholar 

  29. O.K. Dudko, A.E. Filippov, J. Klafter, and M. Urbakh, Chem. Phys. Lett. 352, 499 (2002)

    Article  CAS  Google Scholar 

  30. O. Zwörner, H. Hölscher, U.D. Schwarz, and R. Wiesendanger, Appl. Phys. A 66, S263 (1998)

    Article  ADS  Google Scholar 

  31. T. Baumberger and C. Caroli, Eur. Phys. Journ. B 4, 13 (1998)

    Article  ADS  CAS  Google Scholar 

  32. C. Fusco and A. Fasolino, Phys. Rev. B 71, 045413 (2005)

    Article  ADS  CAS  Google Scholar 

  33. L. Prandtl, Zeitschr. f. Angew. Math. u. Mech. 8, 85 (1928)

    Article  Google Scholar 

  34. G.A. Tomlinson, Philos. Mag. 7, 905 (1929)

    CAS  Google Scholar 

  35. T. Gyalog, M. Bammerlin, R. Lüthi, E. Meyer, and H. Thomas, Europhys. Lett. 31, 269 (1995)

    Article  CAS  Google Scholar 

  36. H. Hölscher, U.D. Schwarz, and R. Wiesendanger, Europhys. Lett. 36, 19 (1996)

    Article  ADS  Google Scholar 

  37. R. Prioli, A.M.F. Rivas, R.L. Freire Jr., and A.O. Caride, Appl. Phys. A 76, 565 2003

    Article  ADS  CAS  Google Scholar 

  38. A. Schirmeisen, L. Jansen, and H. Fuchs, Phys. Rev. B 71, 245403 (2005)

    Article  ADS  CAS  Google Scholar 

  39. F. Heslot, T. Baumberger, B. Perrin, B. Caroli, and C. Caroli, Phys. Rev. E 49, 4973 (1994)

    Article  ADS  Google Scholar 

  40. T. Bouhacina, J.P. Aimé, S. Gauthier, D. Michel, and V. Heroguez, Phys. Rev. B 56, 7694 (1997)

    Article  ADS  CAS  Google Scholar 

  41. E. Gnecco, R. Bennewitz, T. Gyalog, Ch. Loppacher, M. Bammerlin, E. Meyer, and H.-J. Güntherodt, Phys. Rev. Lett. 84, 1172 (2000)

    Article  PubMed  ADS  CAS  Google Scholar 

  42. E. Riedo, E. Gnecco, R. Bennewitz, E. Meyer, and H. Brune, Phys. Rev. Lett. 91, 084502 (2003)

    Article  PubMed  ADS  CAS  Google Scholar 

  43. M. Evstigneev and P. Reimann, Phys. Rev. B 73, 113401 (2006)

    Article  ADS  CAS  Google Scholar 

  44. B.J. Briscoe and D.C.B. Evans, Proc. R. Soc. London A 380, 389 (1982)

    Article  ADS  CAS  Google Scholar 

  45. J.N. Glosli and G.M. McClelland, Phys. Rev. Lett. 70, 1960 (1993)

    Article  PubMed  ADS  CAS  Google Scholar 

  46. M. Evstigneev and P. Reimann, Europhys. Lett. 67, 907 (2004)

    Article  ADS  CAS  Google Scholar 

  47. M. Evstigneev and P. Reimann, Phys. Rev. E 71, 056119 (2005)

    Article  ADS  CAS  Google Scholar 

  48. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical recipes in C (Cambridge, 1999)

    Google Scholar 

  49. M. Abramowitz and I. Stegun, ed., Handbook of mathematical functions (Dover, 1965)

    Google Scholar 

  50. P.W. Williams, Analytica Chimica Acta 479, 107 (2003)

    Article  CAS  Google Scholar 

  51. A. Garg, Phys. Rev. B 51, 15592 (1995)

    Article  ADS  CAS  Google Scholar 

  52. R.L. Stratonovich, Radiotekhn. Elektron. (Moscow) 3, 497 (1958). English translation in: P.I. Kuznetsov, R.L. Stratonovich, and V.I. Tikhonov, ed., Nonlinear Transformations of Stochastic Processes, Pergamon, Oxford, 1965

    Google Scholar 

  53. S.Yu. Krylov, K.B. Jinesh, H. Valk, M. Dienwiebel, and J.W.M. Frenken, Phys. Rev. E 71, 065101 (2005)

    Article  ADS  CAS  Google Scholar 

  54. Z. Tshiprut, A.E. Filippov, and M. Urbakh, Phys. Rev. Lett. 95, 016101 (2005)

    Article  PubMed  ADS  CAS  Google Scholar 

  55. J. Lehmann, P. Reimann, and P. Hänggi, Phys. Rev. E 62, 6282 (2000)

    Article  ADS  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Physik, Universität Bielefeld, 33615, Bielefeld, Germany

    Mykhaylo Evstigneev & Peter Reimann

Authors
  1. Mykhaylo Evstigneev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peter Reimann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Physik, Universität Basel, Klingelbergstr. 82, 4056, Basel, Switzerland

    Enrico Gnecco  & Ernst Meyer  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Evstigneev, M., Reimann, P. (2007). Velocity dependence of atomic friction: Rate theory and beyond. In: Gnecco, E., Meyer, E. (eds) Fundamentals of Friction and Wear. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36807-6_7

Download citation

Publish with us

Policies and ethics

Search

Navigation