JETP Letters

, Volume 110, Issue 5, pp 348–351 | Cite as

Equilibrium and Nonequilibrium States of One-Dimensional Atomic Structures

  • A. G. SyromyatnikovEmail author
  • A. M. Saletsky
  • A. L. Klavsyuk
Condensed Matter


The formation and evolution of one-dimensional atomic structures have been studied by the kinetic Monte Carlo method. It has been found that the distribution of the lengths of such structures depends not only on external parameters but also on the duration of the experiment. It has been revealed that a transition from one equilibrium state to another at heating or cooling occurs through a nonequilibrium state, which is observed in most of the experiments.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



This work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” and in part by the Federal Agency for Scientific Organizations of the Russian Federation (project no. AAAA-A17-117040310008-5, theme no. V.45.12, state registration no. 0082-2014-0012).


  1. 1.
    K. Kuhnke and K. Kern, J. Phys.: Condens. Matter 15, S3311 (2003).ADSGoogle Scholar
  2. 2.
    P. Gambardella, H. Brune, K. Kern, and V. I. Marchenko, Phys. Rev. B 73, 245425 (2006).ADSCrossRefGoogle Scholar
  3. 3.
    T. F. Mocking, P. Bampoulis, N. Oncel, B. Poelsema, and H. J. W. Zandvliet, Nat. Commun. 4, 2387 (2013).ADSCrossRefGoogle Scholar
  4. 4.
    N. S. Kabanov, R. Heimbuch, H. J. W. Zandvliet, A. M. Saletsky, and A. L. Klavsyuk, Appl. Surf. Sci. 404, 12 (2017).ADSCrossRefGoogle Scholar
  5. 5.
    L. Zhang, N. Kabanov, P. Bampoulis, A. Saletsky, H. Zandvliet, and A. Klavsyuk, Appl. Surf. Sci. 439, 101 (2018).ADSCrossRefGoogle Scholar
  6. 6.
    N. Zaki, D. Potapenko, P. D. Johnson, and R. M. Osgood, Phys. Rev. B 80, 155419 (2009).ADSCrossRefGoogle Scholar
  7. 7.
    J. N. Crain and D. T. Pierce, Science (Washington, DC, U. S.) 307, 703 (2005).ADSCrossRefGoogle Scholar
  8. 8.
    S. C. Erwin and F. J. Himpsel, Nat. Commun. 1, 1 (2010).CrossRefGoogle Scholar
  9. 9.
    A. L. Klavsyuk and A. M. Saletsky, Phys. Usp. 58, 933 (2015).ADSCrossRefGoogle Scholar
  10. 10.
    P. C. Snijders and H. H. Weitering, Rev. Mod. Phys. 82, 307 (2010).ADSCrossRefGoogle Scholar
  11. 11.
    C. Blumenstein, J. Schäfer, S. Mietke, S. Meyer, A. Dollinger, M. Lochner, X. Y. Cui, L. Patthey, R. Matzdorf, and R. Claessen, Nat. Phys. 7, 776 (2011).CrossRefGoogle Scholar
  12. 12.
    J. Park, S. W. Jung, M.-C. Jung, H. Yamane, N. Kosugi, and H. W. Yeom, Phys. Rev. Lett. 110, 036801 (2013).ADSCrossRefGoogle Scholar
  13. 13.
    M. Czerner, A. Bagrets, V. S. Stepanyuk, A. L. Klavsyuk, and I. Mertig, Phys. Rev. B 74, 115108 (2006).ADSCrossRefGoogle Scholar
  14. 14.
    P. A. Ignatiev, V. S. Stepanyuk, A. L. Klavsyuk, W. Hergert, and P. Bruno, Phys. Rev. B 75, 155428 (2007).ADSCrossRefGoogle Scholar
  15. 15.
    A. G. Syromyatnikov, S. V. Kolesnikov, A. M. Saletsky, and A. L. Klavsyuk, Mater. Lett. 179, 69 (2016).CrossRefGoogle Scholar
  16. 16.
    S. V. Kolesnikov, I. N. Kolesnikova, A. L. Klavsyuk, and A. M. Saletsky, Europhys. Lett. 103, 48002 (2013).ADSCrossRefGoogle Scholar
  17. 17.
    M. B. Yilmaz and F. M. Zimmermann, Phys. Rev. E 71, 026127 (2005).ADSCrossRefGoogle Scholar
  18. 18.
    V. I. Tokar and H. Dreyssé, Phys. Rev. B 76, 073402 (2007).ADSCrossRefGoogle Scholar
  19. 19.
    P. Petrov, W. Miller, U. Rehse, and R. Fornari, Appl. Math. Model. 35, 1331 (2011).MathSciNetCrossRefGoogle Scholar
  20. 20.
    A. G. Syromyatnikov, A. M. Saletsky, and A. L. Klavsyuk, Phys. Rev. B 97, 235444 (2018).ADSCrossRefGoogle Scholar
  21. 21.
    V. I. Tokar and H. Dreyssé, Phys. Rev. E 92, 062407 (2015).ADSCrossRefGoogle Scholar
  22. 22.
    P. Kocán, P. Sobotík, I. Ošt’ádal, M. Setvín, and S. Haviar, Phys. Rev. E 80, 061603 (2009).ADSCrossRefGoogle Scholar
  23. 23.
    G. Kresse and J. Hafner, Phys. Rev. B 48, 13115 (1993).ADSCrossRefGoogle Scholar
  24. 24.
    G. Kresse and D. Joubert, Phys. Rev. B 59, 1758 (1999).ADSCrossRefGoogle Scholar
  25. 25.
    Vienna ab initio Simulation Package, 2019.Google Scholar
  26. 26.
    S. A. Dokukin, S. V. Kolesnikov, A. M. Saletsky, and A. L. Klavsyuk, J. Alloys Compd. 763, 719 (2018).CrossRefGoogle Scholar
  27. 27.
    K. A. Fichthorn and W. H. Weinberg, J. Chem. Phys. 95, 1090 (1991).ADSCrossRefGoogle Scholar
  28. 28.
    K. Bromann, H. Brune, H. Röder, and K. Kern, Phys. Rev. Lett. 75, 677 (1995).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  • A. G. Syromyatnikov
    • 1
    • 2
    Email author
  • A. M. Saletsky
    • 1
  • A. L. Klavsyuk
    • 1
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Semenov Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia

Personalised recommendations