JETP Letters

, Volume 101, Issue 8, pp 539–544 | Cite as

Nonequilibrium aging effects in the critical behavior of structurally disordered planar magnets

  • P. V. PrudnikovEmail author
  • V. V. Prudnikov
  • I. S. Popov
Condensed Matter


Nonequilibrium critical behavior of structurally disordered planar magnets described by the two-dimensional XY model has been studied by Monte Carlo methods. For systems evolving from a high-temperature nonequilibrium initial state, the influence of defects of the structure on aging effects, as well as the violation of the fluctuation-dissipation theorem for “freezing” temperatures in the low-temperature phase, has been analyzed. Power-law temperature dependences of the limiting values of the fluctuation-dissipation ratio have been revealed for the first time.


Autocorrelation Function JETP Letter Monte Carlo Step Nonequilibrium Process Spin Concentration 
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  1. 1.
    S. Ciliberto, R. Gomez-Solano, and A. Petrosyan, Ann. Rev. Cond. Mat. Phys. 4, 11 (2013).CrossRefGoogle Scholar
  2. 2.
    L. Berthier and J. Kurchan, Nature Phys. 9, 310 (2013).ADSCrossRefGoogle Scholar
  3. 3.
    G. N. Bochkov and Yu. E. Kuzovlev, Phys. Usp. 56, 590 (2013).ADSCrossRefGoogle Scholar
  4. 4.
    R. Wiesendanger, Rev. Mod. Phys. 81, 1495 (2009).ADSCrossRefGoogle Scholar
  5. 5.
    R. F. L. Evans, W. J. Fan, P. Chureemart, T. A. Ostler, M. O. A. Ellis, and R. W. Chantrell, J. Phys.: Condens. Matter 26, 103202 (2014).ADSGoogle Scholar
  6. 6.
    T. J. Fal, J. I. Mercer, M. D. Leblanc, J. P. Whitehead, M. L. Plumer, and J. van Ek, Phys. Rev. B 87, 064405 (2013).ADSCrossRefGoogle Scholar
  7. 7.
    T. W. McDaniel, J. Appl. Phys. 112, 013914 (2012).ADSCrossRefGoogle Scholar
  8. 8.
    A. B. Drovosekov, N. M. Kreines, D. I. Kholin, A. V. Korolev, M. A. Milyaev, L. N. Romashev, and V. V. Ustinov, JETP Lett. 88, 118 (2008).ADSCrossRefGoogle Scholar
  9. 9.
    S. E. Korshunov, Phys. Usp. 49, 225 (2006).ADSCrossRefGoogle Scholar
  10. 10.
    V. L. Berezinskii, Low Temperature Properties of Two-Dimensional Systems (Fizmatlit, Moscow, 2007) [in Russian].Google Scholar
  11. 11.
    K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986).ADSCrossRefGoogle Scholar
  12. 12.
    M. Mezard, G. Parisi, and M. Virasoro, Spin-Glass Theory and Beyond (World Scientific, Singapore, 1987).Google Scholar
  13. 13.
    S. Franz, M. Mézard, G. Parisi, and L. Peliti, Phys. Rev. Lett. 81, 1758 (1998).ADSCrossRefGoogle Scholar
  14. 14.
    M. Alba, M. Ocio, and J. Hammann, Europhys. Lett. 2, 45 (1986).ADSCrossRefGoogle Scholar
  15. 15.
    E. J. Vincent and J. Hammann, J. Phys. C 20, 2659 (1987).ADSCrossRefGoogle Scholar
  16. 16.
    Ageing and the Glass Transition, Ed. by M. Henkel, M. Pleimling, and R. Sanctuary, Vol. 716 of Lecture Notes in Physics (Springer, Berlin, Heidelberg, 2007).Google Scholar
  17. 17.
    P. Calabrese and A. Gambassi, J. Phys. A 38, R133 (2005).MathSciNetADSCrossRefGoogle Scholar
  18. 18.
    L. F. Cugliandolo, Phys. Rev. E 55, 3898 (1997).ADSCrossRefGoogle Scholar
  19. 19.
    N. Gnan, C. Maggi, G. Parisi, and F. Sciortino, Phys. Rev. Lett. 110, 035701 (2013).ADSCrossRefGoogle Scholar
  20. 20.
    L. F. Cugliandolo, J. Phys. A: Math. Theor. 44, 483001 (2011).MathSciNetCrossRefGoogle Scholar
  21. 21.
    P. V. Prudnikov and I. S. Popov, J. Phys.: Conf. Ser. 510, 1742 (2014).Google Scholar
  22. 22.
    V. V. Prudnikov, P. V. Prudnikov, S. V. Alekseev, and I. S. Popov, Phys. Met. Metallogr. 115, 1186 (2014).ADSCrossRefGoogle Scholar
  23. 23.
    L. Berthier, P. C. W. Holdsworth, and M. Sellitto, J. Phys. A 34, 1805 (2001).MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    A. J. Bray, A. J. Briant, and D. K. Jervis, Phys. Rev. Lett. 84, 1503 (2000).ADSCrossRefGoogle Scholar
  25. 25.
    S. Abriet and D. Karevski, Eur. Phys. J. B 37, 47 (2004).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2015

Authors and Affiliations

  • P. V. Prudnikov
    • 1
    Email author
  • V. V. Prudnikov
    • 1
  • I. S. Popov
    • 1
  1. 1.Omsk State UniversityOmskRussia

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