Abstract
The microdynamics of large-amplitude nonlinear atomic vibrations in crystals of the UO2, PuO2, and ThO2 types with the fluorite structure has been studied using the neutron spectrometry and computer simulation methods. Investigations performed on the DIN-2PI neutron spectrometer have revealed a fine structure of the multi-resonance spectral density of vibrations in UO2. The temperature dependence of the coefficient of thermal conductivity of UO2 with two maxima in the range from 500 to 3000 K and the multi-resonance density of vibrations has been interpreted according to the results of the computer simulation demonstrating the generation of single solitons and soliton beams at low and high temperatures. It has been shown that the maximum of the coefficient of thermal conductivity at a temperature of 500 K is determined by the energy transfer by solitons. A decrease in the coefficient of thermal conductivity in the range from 500 to 2000 K is determined by soliton-soliton scattering. An increase in the coefficient of thermal conductivity in the range from 2000 to 3000 K is determined by the generation of soliton beams with the formation of dynamic pores. It has been found that, in crystals of the UO2, PuO2, and ThO2 types, there are resonances of new-type surface vibrations between the dispersion branches of optical phonons. An additional resonance between the low-frequency optical branch and the acoustic branch has been revealed at finite temperatures. This resonance has been interpreted as a nonlinear local mode, in the framework of the quantum theory, possible, a biphonon. It has also been found that, with an increase in the excitation energy, there are soliton branches between this resonance and the acoustic branch in UO2, which in the phase plane cross the band of a nonlinear local mode with an increasing rate.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. S. Kurina, V. V. Popov, and V. N. Kharitonov, At. Energy. 101, 802 (2006).
G. Dolling, R. A. Cowley, and A. D. B. Woods, Can. J. Phys. 43, 1397 (1965).
N. J. Dudney, R. L. Goble, and H. I. Tuller, J. Am. Ceram. Soc. 64, 627 (1981).
R. Brandt and G. Neuer, J. Non-Equilib. Thermodyn. 1, 3 (1967).
J. H. Harding and D. G. Martin, J. Nucl. Mater. 166, 223 (1989).
K. Kurosaki, K. Yamada, M. Uno, S. Yamanaka, K. Yamamoto, and T. Namekawa, J. Nucl. Mater. 294, 160 (2001).
Q. Yin and S. Y. Savrasov, Phys. Rev. Lett. 100, 225504 (2008).
V. A. Semenov, Zh. A. Kozlov, V. M. Morozov, A. V. Puchkov, V. V. Savostin, and E. L. Yadrovskii, Preprint FEI-3176 (State Scientific Center of the Russian Federation-Leipunsky Institute of Physics and Power Engineering, Obninsk, 2009).
V. A. Semenov, O. A. Dubovskiy, and A. V. Orlov, Crystallogr. Rep. 56, 1149 (2011).
O. A. Dubovsky, A. V. Orlov, and V. A. Semenov, Phys. Solid State 53(9), 1963 (2011).
V. M. Agranovich, Sov. Phys. Solid State 12(2), 430 (1970).
V. M. Agranovich and O. A. Dubovskiy, Optical Properties of Mixed Crystals (North-Holland, Amsterdam, 1988).
V. M. Agranovich, O. A. Dubovskiy, and A. V. Orlov, Phys. Lett. A 119, 83 (1986).
R. K. Dodd, J. C. Ellbeck, J. D. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations (Academic, London, 1982).
M. Toda, Theory of Nonlinear Lattices (Springer-Verlag, Berlin, 1981).
M. E. Manley, M. Yethiraj, H. Sinn, H. M. Volz, A. Alatas, J. C. Lashley, W. L. Hults, G. H. Lander, and J. L. Smith, Phys. Rev. Lett. 96, 125501 (2006).
A. I. Kolesnikov, M. Prager, J. Tomkinson, I. O. Bashkin, V. Yu. Malyshev, and E. G. Ponyatovskii, J. Phys.: Condens. Matter 3, 5927 (1991).
O. A. Dubovskyand A. V. Orlov, Phys. Solid State 52(5), 899 (2010).
M. E. Manley, D. L. Abernathy, N. I. Agladze, and A. J. Sievers, Sci. Rep. 1, 1 (2011).
A. V. Savin and O. V. Gendel’man, Phys. Solid State 43(2), 355 (2001).
O. A. Dubovsky, V. A. Semenov, and A. V. Orlov, Phys. Solid State 55(2), 396 (2013).
O. A. Dubovsky and A. V. Orlov, JETP Lett. 87(8), 414 (2008).
O. A. Dubovsky and A. V. Orlov, JETP Lett. 96(7), 461 (2012).
O. A. Dubovsky, V. A. Semenov, A. V. Orlov, and V. V. Sudarev, Phys. Solid State 56(9), 1840 (2014).
A. N. Oraevskii and M. Yu. Sudakov, Sov. Phys. JETP 65(4), 767 (1987).
O. A. Dubovsky and A. V. Orlov, Phys. Solid State 55(8), 1703 (2013).
E. Fermi, J. R. Pasta, and S. M. Ulam, Collected Works of E. Fermi (University of Chicago Press, Chicago, 1965), Vol. 2, p. 978.
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1987; Butterworth-Heinemann, Oxford, 1991).
V. M. Agranovich and V. L. Ginzburg, Crystal Optics with Spatial Dispersion and Excitons (Springer-Verlag, Berlin, 1984).
O. A. Dubovskii, Sov. Phys. Solid State 12(10), 2471 (1970).
O. A. Dubovskii and A. V. Orlov, Phys. Solid State 36(10), 1663 (1994).
W. Heitler, Quantum Theory of Radiation (Clarendon, Oxford, 1954).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.A. Dubovsky, V.A. Semenov, A.V. Orlov, V.V. Sudarev, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 7, pp. 1383–1397.
Rights and permissions
About this article
Cite this article
Dubovsky, O.A., Semenov, V.A., Orlov, A.V. et al. Soliton microdynamics of multiphase thermal conductivity of fuel materials of the uranium dioxide type with the generation of new-type surface vibrations. Phys. Solid State 57, 1407–1423 (2015). https://doi.org/10.1134/S1063783415070100
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783415070100