Skip to main content

Relaxation of Surface Steps Towards Equilibrium

  • Chapter
Dynamics of Crystal Surfaces and Interfaces

Part of the book series: Fundamental Materials Research ((FMRE))

Abstract

The relaxation of isolated, pairs of and ensembles of steps on crystal surfaces towards equilibrium is reviewed, for systems both above and below the roughening transition temperature. Results of Monte Carlo simulations are discussed, together with analytic theories and experimental findings. Elementary dynaniical processes are, below roughening, step fluctuations, step-step repulsion and annihilation of steps. Evaporation kinetics arid surface diffusion are considered.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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. W. W. Mullins, J. Appl. Phys. 30, 77 (1959)

    Article  Google Scholar 

  2. A. Rettori and J. Villain, J. Phys. (Paris) 49, 257 (1988); F. Lançon and J. Villain, in: Kinetics of Ordering and Growth at Surfaces, M. G. Lagally (ed.), New York: Plenum 1990

    Article  CAS  Google Scholar 

  3. H. Spohn, J. Phys. I (France) 3, 69 (1993); J. Hager and H. Spohn, Surf. Sci. 324, 365 (1995)

    Article  CAS  Google Scholar 

  4. H. P. Bonzel, U. Breuer, B. Voigtländer, and E. Zeldov, Surf. Sci. 272, 10 (1992)

    Article  CAS  Google Scholar 

  5. C. C. Umbach, M. E. Keeffe, and J. M. Blakely, J. Vac. Sci. Technol. A9, 1014 (1991); M. E. Keeffe, C. C. Umbach, and J. M. Blakely, J. Phys. Chem. Solids 55, 965 (1994)

    Google Scholar 

  6. W. Selke and J. Oitmaa, Surf. Sci. 198, L346 (1988); W. Selke and T. Bieker, Surf. Sci. 281, 163 (1993)

    Article  CAS  Google Scholar 

  7. W. Selke and P. M. Duxbury, Acta Physica Slovaca 44, 215 (1994); Phys. Rev. 52, 17468 (1995); Z. Phys. B94, 311 (1994); W. Selke, Proceedings of the 8th Joint EPS-APS International Conference on Physics Computing, eds. P. Borcherds, M. Bubak and A. Maksymowicz, CYFRONET Krakow, p. 443 (1996)

    Google Scholar 

  8. Z. Jiang and C. Ebner, Phys. Rev. B40, 316 (1989); Phys. Rev. B53, 11146 (1996)

    Google Scholar 

  9. J. Krug, H. T. Dobbs, and S. Majaniemi, Z. Phys. B97, 281 (1995)

    Google Scholar 

  10. M. Ozdemir and A. Zangwill, Phys. Rev. B42, 5013 (1990)

    Google Scholar 

  11. M. A. Dubson, M. Kalke and J. Hwang, Phys. Rev. B47, 10044 (1993); M.A. Dubson and G. Jeffers, Phys. Rev. B49, 8347 (1994)

    Google Scholar 

  12. M. V. Ramana Murty and B. H. Cooper, Phys. Rev. B (1996) in print

    Google Scholar 

  13. J. D. Erlebacher and M. J. Aziz, Preprint (1996)

    Google Scholar 

  14. J. P. Straley and E. B. Kolomeisky, Preprint (1996)

    Google Scholar 

  15. H. P Bonzel, E. Preuss, and B. Steffen, Appl Phys. A35, 1 (1984)

    CAS  Google Scholar 

  16. H. P. Bonzel and E. Preuss, Sur. Sci. 336, 209 (1995)

    CAS  Google Scholar 

  17. P. C. Searson, R. Li, and K. Sieradzki, Phys. Rev. Lett. 74, 1395 (1995)

    Article  CAS  Google Scholar 

  18. L.-H. Tang, private communication; these proceedings

    Google Scholar 

  19. N. C. Bartelt, J. L. Goldberg, T. L. Einstein, and E. D. Williams, Surf. Sci. 273, 252 (1992)

    Article  CAS  Google Scholar 

  20. A. Pimpinelli, J. Villain, D. E. Wolf, J. J. Metois, J. C. Heyraud, I. Elkinani, and G. Uimin, Surf. Sci. 295, 143 (1993)

    Article  CAS  Google Scholar 

  21. N. C. Bartelt, T. L. Einstein, and E. D. Williams, Surf. Sci. 312, 411 (1994)

    Article  CAS  Google Scholar 

  22. P. J. Upton and D. B. Abraham, Phys. Rev. B39, 9650 (1989); R. Lipowsky, J. Phys. A18 L585 (1985); S. F. Edwards and D. R.. Wilkirison, Proc. R. Soc. Lond. A381, 17 (1982)

    Google Scholar 

  23. L. Kuipers, M. S. Hoogeman, and J. W. M. Frenken, Phys. Rev. Lett. 71, 3517 (1993)

    Article  CAS  Google Scholar 

  24. M. Giesm-Seibert, R.. Jentjens, M. Poensgen, and H. Ibach, Phys. Rev. Lett. 71, 3521 (1993); M. Giesen, G. Schulze Icking-Konert, D. Stapel, and H. Ibach, Surf. Sci. 366, 229 (1996)

    Google Scholar 

  25. J. Li, R. Berndt, and W.-D. Schneider, Phys. Rev. Lett. 76, 1888 (1996)

    CAS  Google Scholar 

  26. B. Blagojevic and P. M. Duxbury, Preprint (1996)

    Google Scholar 

  27. W. W. Mullins, in Metal Surfaces: Structure. Energetics and Kinetics, R. Vanselow and R. Howe (eds.), New York: Springer 1963, p. 17

    Google Scholar 

  28. S. G. J. Mochrie, S. Song, M. Yoon, D. L. Abernathy, arid G. B. Stephenson, Phpsica B 221, 105 (1996)

    CAS  Google Scholar 

  29. E. D. Williams, Surf. Sci. 299/300, 502 (1994); for step doubling, see, e.g., S. V. Khare, T. L. Einstein, and N. C. Bartelt, Surf. Sci. 339, 353 (1995)

    Article  Google Scholar 

  30. A. Sánchez, A. R. Bishop, D. Cai, and N. Gronbech-.Jensen, Phys. Rev. B 52, 5433 (1995)

    Google Scholar 

  31. H. P. Bonzel and W. W. Mullins, Surf. Sci. 350, 285 (1996); S. Surnev, P. Coenen, H. P. Bonzel: and W. \Y. Mullins, Prog. Surf. Sci. (1996) in print

    Article  CAS  Google Scholar 

  32. D. R. Peale and B. H. Cooper, J. Vac. Sci. Tech. A10, 2210 (1992); L. Kuipers, Thesis: University of Amsterdam (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Selke, W. (2002). Relaxation of Surface Steps Towards Equilibrium. In: Duxbury, P.M., Pence, T.J. (eds) Dynamics of Crystal Surfaces and Interfaces. Fundamental Materials Research. Springer, Boston, MA. https://doi.org/10.1007/0-306-47071-3_12

Download citation

  • DOI: https://doi.org/10.1007/0-306-47071-3_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-45619-0

  • Online ISBN: 978-0-306-47071-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics