The paper presents modeling and simulation of the Gruneisen parameter depending on the volume and temperature using the principal Hugoniot, isentropes and the Gruneisen parameter at the initial density. The evaluation of the Gruneisen parameter for gold and silver is carried out in a wide parameter range. The Gruneisen parameter is compared with the results obtained by other researchers. The proposed modeling procedure differs from early-published results by the absence of groundless assumptions. The approximate dependencies are suggested for the Gruneisen parameter, the cold equation of state and the shock velocity on the particle velocity within the wide range of parameters.
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V. N. Zharkov and V. A. Kalinin, Equations of States of Solids at High Pressures and Temperatures [in Russian], Nauka, Moscow (1968).
F. Birch, Phys. Earth Planet In. 1, 141 (1968).
P. Vinet, J. H. Rose, J. Ferrante, and J. R. Smith, J. Phys. Condens. Matter, 1, 1941 (1989).
W. B. Holzapfel, High Pressure Res., 25, 187 (2005).
R. F. Trunin, L. F. Gudarenko, M. V. Zhernokletov, and G. V. Simakov, Experimental Data on Shock-Wave Compression and Adiabatic Expansion of Condensed Matter, RFYaTs-VNIIEF, Sarov (2006).
M., Yokoo N. Kawai, K. Nakamura, and K. Kondo, Phys. Rev. B, 80, 104114 (2009).
V. V. Prut, Russ. Phys. J., 59, No. 5, 686–693 (2016).
A. Dewaele, M. Torrent, P. Loubeyre, and M. Mezouar, Phys. Rev. B, 78, 104102 (2008).
A. Dewaele, P. Loubeyre, and M. Mezouar, Phys. Rev. B, 70, 094112 (2004).
L. V. Al’tshuler, S. E. Brusnikin, and E. A. Kuz’menkov, J. Appl. Mech. Tech. Ph., 28, No. 1, 129 (1987).
L. Burakovsky and D. L. Preston, J. Phys. Chem. Solids, 65, 1581 (2004).
А. М. Molodets, High Pressure Res., 24, No. 3, 365 (2004).
V. V. Prut, Extreme States of Matter [in Russian], LAP Lambert Academic Publishing, 2012.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 139–144, February, 2019.
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Prut, V.V. Modeling and Simulation of Gruneisen Parameter for a Shock Wave. Russ Phys J 62, 339–345 (2019). https://doi.org/10.1007/s11182-019-01717-9
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DOI: https://doi.org/10.1007/s11182-019-01717-9