Skip to main content
Log in

Cooperative quenching kinetics:Theory and Monte-Carlo simulation

  • Nonlinear Dynamics
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

Analytic expression is given for the static cooperative quenching kinetics in crystals with arbitrary acceptor concentration and arbitrary multipolarity of interaction. For the quenching by two acceptors, the results of Monte-Carlo simulation are also presented which can be approximated in the long-time domain by the nonexponential law I(t)≅exp[−(wt)k], with k=0.41, 0.3, and 0.25 for the multipolarities S=6, 8, and 10, respectively.

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. A. A. Manenkov and A. M. Prokhorov, Zh. Éksp. Teor. Fiz. 42, 75 (1962) [Sov. Phys. JETP 15, 54 (1962)].

    Google Scholar 

  2. V. V. Ovsyankin and P. P. Feofilov, Izv. Akad. Nauk SSSR, Ser. Fiz. 37, 262 (1973).

    Google Scholar 

  3. R. H. Dicke, Phys. Rev. 93, 99 (1954).

    Article  ADS  MATH  Google Scholar 

  4. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975; Mir, Moscow, 1978).

    Google Scholar 

  5. V. V. Ovsyankin and P. P. Feofilov, Pis’ma Zh. Éksp. Teor. Fiz. 4, 471 (1966) [JETP Lett. 4, 317 (1966)].

    Google Scholar 

  6. T. Kushida, J. Phys. Soc. Jpn. 34, 1318 (1973); 34, 1327 (1973); 34, 1334 (1973).

    Google Scholar 

  7. Th. Förster, Zh. Naturforsch. A 4, 321 (1949).

    Google Scholar 

  8. M. D. Galanin, Zh. Éksp. Teor. Fiz. 28, 485 (1955) [Sov. Phys. JETP 1, 317 (1955)].

    Google Scholar 

  9. B. Ya. Sveshnikov and V. I. Shirokov, Opt. Spektrosk. 12, 5764 (1962).

    Google Scholar 

  10. M. Inokuti and F. Hirayama, J. Chem. Phys. 43, 1978 (1965).

    Article  Google Scholar 

  11. V. P. Sakun, Fiz. Tverd. Tela (Leningrad) 14, 2199 (1972) [Sov. Phys. Solid State 14, 1906 (1972)].

    Google Scholar 

  12. S. I. Golubov and D. V. Konobeev, Fiz. Tverd. Tela (Leningrad) 13, 3185 (1971) [Sov. Phys. Solid State 13, 2679 (1971)].

    Google Scholar 

  13. T. T. Basiev, M. E. Doroshenko, and V. V. Osiko, Pis’ma Zh. Éksp. Teor. Fiz. 71, 14 (2000) [JETP Lett. 71, 8 (2000)].

    Google Scholar 

  14. T. T. Basiev, M. E. Doroshenko, and V. V. Osiko, OSA TOPS 34, 485 (2000).

    Google Scholar 

  15. T. T. Basiev, M. E. Doroshenko, V. V. Osiko, et al., in Advanced Solid State Lasers. Technical Digest (Optical Society of America, Washington, 2001), p. 93.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 74, No. 11, 2001, pp. 612–615.

Original Russian Text Copyright © 2001 by Basieva, Pukhov, Basiev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Basieva, I.T., Pukhov, K.K. & Basiev, T.T. Cooperative quenching kinetics:Theory and Monte-Carlo simulation. Jetp Lett. 74, 539–542 (2001). https://doi.org/10.1134/1.1450286

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1450286

PACS numbers

Navigation