Abstract
The mass operator of the phonon Green function for a highly anharmonic crystal in the ladder approximation is derived. In order to calculate the mass operator in the collision-dominated regime it is necessary to solve the Boltzmann-like equations. These solutions allow us to find the thermal conductivity coefficient and to prove that the thermodynamic relation between adiabatic and isothermal elastic constants is satisfied.
Similar content being viewed by others
References
Wallace, D. C.: Thermodynamics of crystals. New York: Wiley 1972
Wehner, R. K., Klein, R.: Physica52, 92 (1971)
Cowley, R. A.: Proc. Phys. Soc.90, 1127 (1967)
Götze, W.: Phys. Rev.156, 951 (1967)
Götze, W., Michel, K. H.: Phys. Rev.157, 738 (1967)
Götze, W., Michel, K. H.: Z. Phys.217, 170 (1969)
Paszkiewicz, T.: Preprint E 4-6453 JINR Dubna 1972
Götze, W., Michel, K. H.: Phys. Rev.156, 963 (1967)
Götze, W., Michel, K. H.: Z. Phys.223, 199 (1969)
Sham, L. J.: Phys. Rev.156, 494 (1967)
Plakida, N. M.: In Statistical Physics and Quantum Field Theory. Moscow: Nauka 1973
Enz, C. P.: In The Many-Body Problems. New York: Plenum Press 1969
Niklasson., G.: Phys. kondens. Materie14, 138 (1972)
Paszkiewicz, T.: Phys. kondens. Materie15, 158, (1972)
Maris, H. J.: Phil. Mag.16, 140 (1967)
Werthamer, N. R.: Phys. Rev.A, 2, 2050 (1970)
Werthamer, N. R.: Phys. Rev.B 5, 285 (1972)
Klein, M. L., Horton, G. K., Goldman, V. V.: Phys. Rev.B 2, 4995 (1970)
Glyde, H. R.: Can. J. Phys.49, 761 (1971)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Paszkiewicz, T. Adiabatic and isothermal elastic constants for highly anharmonic crystals. Phys cond Matter 18, 1–15 (1974). https://doi.org/10.1007/BF01950498
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01950498