The Rate of Fast Particles Leaving a Planar Channeled Regime in a Quasiclassical Approach

Abstract

The rate of particles leaving a planar channeling regime is studied in the framework of nonequilibrium statistical theory. In the quasiclassical case, an analytical expression for the corresponding kinetic coefficient \(R_{N}^{{({\text{dec)}}}}\) is obtained for high-energy particles interacting with valence electrons. At high temperatures, the expression for particle transition is found to agree reasonably well with the probability of thermal (nonradiating) transition of particles from channeling. The rate coefficient \(R_{N}^{{({\text{dec)}}}}\) including terms of the lowest order with respect to the particle–electron interaction is inversely proportional to vibrational energy relaxation time τν, while the anharmonicity of particle vibration in a planar channel has an effect on the relaxation process only because of its interference with the electron scattering.

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

Fig. 1.

REFERENCES

  1. 1

    Kashlev, Yu.A., Two stages of motion of anharmonic oscillators modeling fast particles in crystals, Theor. Math. Phys., 2011, vol. 167, no. 1, pp. 506–516.

    Article  Google Scholar 

  2. 2

    Dumas, H.S., Ellison, J.A., and Golse, F. A mathematical theory of planar particle channeling in crystals, Phys. D (Amsterdam), 2000, vol. 146, nos. 1–4, pp. 341–366.

  3. 3

    Kashlev, Yu.A., Diffusion mobility of the hydrogen atom with allowance for the anharmonic attenuation of migrating atom state, Phys. B (Amsterdam), 2017, vol. 511, pp. 20–25.

    CAS  Article  Google Scholar 

  4. 4

    Kashlev, Yu.A., Nonequilibrium statistical theory of channeling, Phys. Status Solidi B, 1995, vol. 190, pp. 379–383.

    CAS  Article  Google Scholar 

  5. 5

    Lindhard, J., Influence of crystal lattice on motion of energetic charged particles, Mat.-Fys. Medd.–K. Dan. Vidensk. Selsk., 1965, vol. 34, no. 14, pp. 3–63.

    Google Scholar 

  6. 6

    Breese, M.B., Rana, M.A., Osipovicz, T., and Teo, E.J., Enhanced planar channeling for MeV protons through thin crystals, Phys. Rev. Lett., 2004, vol. 93, no. 10, p. 105505.

    CAS  Article  Google Scholar 

  7. 7

    Frenkel’, Ya.I., Transformations of light into heat in solids, in Sobranie izvestnykh trudov (Collection of Famous Research Works), Moscow: Akad. Nauk SSSR, 1958, vol. 2, pp. 126–156.

  8. 8

    Kubo, R. and Toyozawa, Y., Correlation function approach to radiation and radiationless transitions of localized electrons in crystals, Prog. Theor. Phys., 1955, no. 2, pp. 160–181.

  9. 9

    Gordiets, B.F., Osipov, A.I., Stupochenko, E.V., and Shelepin, L.A., Vibrational relaxation in gases and molecular lasers, Phys.-Usp., 1973, vol. 15, pp. 759–785.

    Google Scholar 

  10. 10

    Cohen, C. and Dauvergne, D., High energy ion channeling: principles and typical application, Nucl. Instrum. Methods Phys. Res.,Sect. B, 2004, vol. 225, pp. 40–71.

    CAS  Google Scholar 

  11. 11

    Kashlev, Yu.A., Transverse quasi temperature of channeled particles and spin quasi temperature, Fiz. Khim. Obrab. Mater., 2009, no. 5, pp. 5–12.

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to Yu. A. Kashlev.

Additional information

Translated by A. Muravev

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Kashlev, Y.A., Maslyaev, S.A. The Rate of Fast Particles Leaving a Planar Channeled Regime in a Quasiclassical Approach. Inorg. Mater. Appl. Res. 11, 514–519 (2020). https://doi.org/10.1134/S207511332003020X

Download citation

Keywords:

  • metal
  • electron
  • transition
  • channeling