Log in

Kinetics of the growth of domain blocks in KDP-type ferroelectric crystals

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

Abstract

The process of the domain-block structure formation at the ferroelectric phase transition in KDP-type crystals is investigated. An effective Hamiltonian of the system is constructed; the growth of domain blocks in the vicinity of the Curie point is numerically simulated using the Monte Carlo method, and the temperature interval of the domain block growth is determined. It is shown that the asymptotic dependence of the mean block size on time has the form R(t) ∼ √t/lnt. In the framework of an equivalent mathematical model combining the Ising and Kosterlitz-Thouless two-dimensional models, a kinetic equation that approximately describes the evolution of the domain-block size distribution function is derived.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. G. Wilson, Usp. Fiz. Nauk 141, 193 (1983).

    Google Scholar 

  2. I. M. Lifshits, Zh. Éksp. Teor. Fiz. 42, 1354 (1962) [Sov. Phys. JETP 15, 939 (1962)].

    Google Scholar 

  3. J. S. Langer, M. Baron, and H. D. Miller, Phys. Rev. A 11, 1417 (1975).

    Article  ADS  Google Scholar 

  4. E. A. Brener, S. V. Iordanskiĭ, and R. B. Saptsov, Pis’ma Zh. Éksp. Teor. Fiz. 79, 515 (2004) [JETP Lett. 79, 410 (2004)].

    Google Scholar 

  5. W. H. Zurek, Phys. Rep. 276, 177 (1996).

    Article  ADS  Google Scholar 

  6. I. M. Lifshits and V. V. Slezov, Zh. Éksp. Teor. Fiz. 35, 479 (1958) [Sov. Phys. JETP 8, 331 (1959)].

    Google Scholar 

  7. A. J. Bray, Adv. Phys. 51, 481 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Mitsui and J. Furuichi, Phys. Rev. 90, 193 (1953).

    Article  ADS  Google Scholar 

  9. S. P. Kulik, G. Kh. Kitaeva, and A. N. Penin, Ferroelectrics 172, 469 (1995); G. Kh. Kitaeva, S. P. Kulik, A. N. Penin, and A. V. Belinsky, Phys. Rev. B 51, 3362 (1995).

    Article  Google Scholar 

  10. S. Carrasco, J. P. Torres, L. Torner, et al., Opt. Lett. 29, 2429 (2004).

    Article  ADS  Google Scholar 

  11. A. A. Zhukov and P. A. Prudkovskiĭ, Vestn. Mosk. Univ., Ser. Fiz. 4, 55 (2002).

    Google Scholar 

  12. L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjetunion 8, 153 (1935); C. Kittel, Phys. Rev. 70, 965 (1946).

    MATH  Google Scholar 

  13. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, 3rd ed. (Nauka, Moscow, 1976; Pergamon, Oxford, 1980), Part 1.

    Google Scholar 

  14. J. M. Kosterlitz and D. J. Thouless, J. Phys. C: Solid State Phys. 6, 1181 (1973); D. J. Thouless, J. Phys. C: Solid State Phys. 7, 1046 (1974).

    Article  ADS  Google Scholar 

  15. P. A. Prudkovskiĭ, Pis’ma Zh. Éksp. Teor. Fiz. 82, 506 (2005) [JETP Lett. 82, 452 (2005)].

    Google Scholar 

  16. Y. N. Huang, X. Li, Y. Ding, et al., Phys. Rev. B 55, 16159 (1997).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. A. Prudkovskiĭ.

Additional information

Original Russian Text © P.A. Prudkovskiĭ, 2007, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 86, No. 10, pp. 741–745.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prudkovskiĭ, P.A. Kinetics of the growth of domain blocks in KDP-type ferroelectric crystals. Jetp Lett. 86, 652–656 (2008). https://doi.org/10.1134/S0021364007220080

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364007220080

PACS numbers

Navigation