Skip to main content
Log in

Effects of Superaging and Percolation Crossover on the Nonequilibrium Critical Behavior of the Two-Dimensional Disordered Ising Model

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

A Monte Carlo study of the specific features of the nonequilibrium critical behavior has been performed for the two-dimensional “pure” and structurally disordered Ising models in the course of their evolution from the low-temperature initial state at spin concentrations p = 1.0, 0.9, and 0.8. It is shown for the first time that the pinning of domain walls by structural defects leads to the anomalously strong slowing down in the evolution of the autocorrelation function characterized by the superaging effect with exponents μ = 6.25(5) and μ = 6.75(5) for the model with the spin concentrations p = 0.9 and 0.8, respectively. The pure model exhibits the conventional aging with the exponent μ = 1. It is found that the superaging effects in structurally disordered systems lead to vanishing of the limiting fluctuation−dissipation ratio X, whereas X = 0.751(24) for the pure model.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. Calabrese and A. Gambassi, J. Phys. A. 38, R133 (2005).

    Article  ADS  Google Scholar 

  2. V. V. Prudnikov, P. V. Prudnikov, and M. V. Mamonova, Phys. Usp. 60, 762 (2017).

    Article  ADS  Google Scholar 

  3. L. Berthier and J. Kurchan, Nat. Phys. 9, 310 (2013).

    Article  Google Scholar 

  4. Vik. S. Dotsenko and Vl. S. Dotsenko, JETP Lett. 33, 37 (1981).

    ADS  Google Scholar 

  5. B. N. Shalaev, Sov. Phys. Solid State 26, 1089 (1984).

    Google Scholar 

  6. B. N. Shalaev, Phys. Rep. 237, 129 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  7. O. N. Markov and V. V. Prudnikov, JETP Lett. 60, 23 (1994).

    ADS  Google Scholar 

  8. V. V. Prudnikov and O. N. Markov, Europhys. Lett. 29, 245 (1995).

    Article  ADS  Google Scholar 

  9. M. P. Nightingale and H. W. J. Blote, Phys. Rev. Lett. 76, 4548 (1996).

    Article  ADS  Google Scholar 

  10. L. N. Shchur and O. A. Vasilyev, Phys. Rev. E 65, 016107 (2001).

    Article  ADS  Google Scholar 

  11. P. Calabrese, A. Gambassi, and F. Krzakala, J. Stat. Mech. 6, 2 (2006).

    Google Scholar 

  12. V. V. Prudnikov, P. V. Prudnikov, I. A. Kalashnikov, and S. S. Tsirkin, J. Exp. Theor. Phys. 106, 1095 (2008).

    Article  ADS  Google Scholar 

  13. V. V. Prudnikov, P. V. Prudnikov, E. A. Pospelov, and A. N. Vakilov, Phys. Lett. A 379, 774 (2015).

    Article  Google Scholar 

  14. P. V. Prudnikov, V. V. Prudnikov, and E. A. Pospelov, JETP Lett. 98, 619 (2013).

    Article  Google Scholar 

  15. M. Henkel and M. Pleimling, Non-Equilibrium Phase Transitions (Springer, Heidelberg, 2010), Vol.2.

  16. C. K. Harris and R. B. Stinchcombe, Phys. Rev. Lett. 56, 869 (1986).

    Article  ADS  Google Scholar 

  17. V. V. Prudnikov, P. V. Prudnikov, A. N. Purtov, and M. V. Mamonova, JETP Lett. 104, 776 (2016).

    Article  ADS  Google Scholar 

  18. 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).

    Article  ADS  Google Scholar 

  19. T. Mukherjee, M. Pleimling, and Ch. Binek, Phys. Rev. B 82, 134425 (2010).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Prudnikov.

Additional information

Original Russian Text © V.V. Prudnikov, P.V. Prudnikov, E.A. Pospelov, P.N. Malyarenko, 2018, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 9, pp. 595–603.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Prudnikov, V.V., Prudnikov, P.V., Pospelov, E.A. et al. Effects of Superaging and Percolation Crossover on the Nonequilibrium Critical Behavior of the Two-Dimensional Disordered Ising Model. Jetp Lett. 107, 569–576 (2018). https://doi.org/10.1134/S0021364018090102

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364018090102

Navigation