Abstract
The three-particle interaction of protons in metallic hydrogen has been investigated in detail for the first time. It has been shown that this interaction is determined by the third-order perturbation-theory term in the potential of the electron-proton interaction for the energy of conduction electrons in the field of protons. It has been shown that the three-particle interaction for the majority of configurations of protons is small compared to the effective pairwise interaction, but for some configurations, it significantly exceeds the latter. It follows from the calculations performed that the three-particle interaction tends to compress hydrogen to larger densities than those produced by the pairwise effective interaction. The maximum depth of the potential well for the three-particle interaction of protons corresponds to the location of protons on a common straight line, which can be interpreted as a tendency to the formation of a cubic lattice in the metallic state. The liquid-metal state of hydrogen can be stable at temperatures that significantly exceed room temperature. The three-particle interaction also favors the transition of hydrogen into an atomic state as an intermediate state between its molecular and metallic phases.
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References
V. E. Fortov, “Extreme states of matter on Earth and in space,” Phys.-Usp. 52, 615–647 (2009)
V. E. Fortov, “Intense shock waves and extreme states of matter,” Phys.-Usp. 50, 333–353 (2007).
E. G. Maksimov and Yu. T. Shilov, “Hydrogen at high pressure,” Phys.-Usp. 42, 1121–1138 (1999).
W. J. Nellis, “Dynamic compression of materials: Metallization of fluid hydrogen at high pressure,” Rep. Prog. Phys. 69, 1479–1580 (2006).
S. T. Weir, A. C. Mitchell, and W. J. Nellis, “Metallization of fluid molecular hydrogen at 140 GPa (1.4 Mbar),” Phys. Rev. Lett. 76, 1860–1863 (1996).
V. E. Fortov, V. Ya. Ternovoi, S. V. Kvitov, V. B. Mintsev, D. N. Nikolaev, A. A. Pyalling, and A. S. Filimonov, “Electrical conductivity of nonideal hydrogen plasma at megabar dynamic pressures,” JETP Lett. 69, 926–931 (1999).
V. Ya. Ternovoi, A. S. Filimonov, V. E. Fortov, S. V. Kvitov, D. N. Nikolaev, and A. A. Pyaling, “Thermodynamic properties and electrical conductivity of hydrogen under multiple shock compression to 150 GPa,” Physica B 265, 6–11 (1999).
M. Bastea, A. C. Mitchell, and W. J. Nellis, “High pressure insulator-metal transition in molecular fluid oxygen,” Phys. Rev. Lett. 86, 3108–3111 (2001).
R. Chau, A. C. Mitchell, R. W. Minich, and W. J. Nellis, “Metallization of fluid nitrogen and the Mott transition in highly compressed low-Z fluids,” Phys. Rev. Lett. 90, 245501 (2003).
M. A. Mochalov, R. I. Il’kaev, V. E. Fortov, A. L. Mikhailov, Yu. M. Makarov, V. A. Arinin, A. O. Blikov, A. Yu. Baurin, V. A. Komrakov, V. A. Ogorodnikov, A. V. Ryzhkov, E. A. Pronin, and A. A. Yukhimchuk, “Measurement of quasi-isentropic compressibility of helium and deuterium at pressures of 1500–2000 GPa,” J. Exp. Theor. Phys. 115, 614–625 (2012).
V. T. Shvets’, S. V. Dats’ko, and E. K. Malinovs’kii, “Thermodynamic properties of metallic hydrogen,” Ukr. Fiz. Zh. 58(1), 72–77 (2007).
V. T. Shvets, “Electrical conductivity of metallic hydrogen in the nearly-free-electron model,” Phys. Met. Metallogr. 103, 330–336 (2007).
V. T. Shvets, “High temperature equation of state of metallic hydrogen,” J. Exp. Theor. Phys. 114, 655–660 (2007).
V. T. Shvets, “Metallization degree of hydrogen at a pressure of 1.4 Mbar and a temperature of 3000 K,” JETP Lett. 86, 552–555 (2007).
V. T. Shvets, “Electrical conductivity of metallic hydrogen as of a ternary system,” High Temp. 46, 194–198 (2008).
V. T. Shvets and A. S. Vlasenko, “Metal-dielectric transition in hydrogen,” Acta Phys. Polonica 114, 851–858 (2008).
M. Hasegawa, “Third-order perturbation theory and structures of liquid metals: Sodium and potassium,” J. Phys. F: Metal Phys. 6, 649–675 (1976).
S. D. Kaim, N. P. Kovalenko, and E. V. Vasiliu, “Manyparticle interactions and local structure of the metallic hydrogen at zero pressure,” J. Phys. Studies 1, 589–595 (1997).
V. T. Shvets’ and S. V. Kozits’kii, “Effective pairwise interionic interaction in metallic hydrogen and helium,” Metallofiz. Noveish. Tekhnol. 33, 1199–1208 (2011).
V. T. Shvets, “Effective proton—proton interaction and metallization of hydrogen,” JETP Lett. 95, 29–32 (2012).
E. G. Brovman, Yu. Kagan, and A. O. Kholas, “Structure of metallic hydrogen at zero pressure,” Zh. Eksp. Teor. Fiz. 61, 2429–2458 (1971).
E. G. Brovman and Yu. M. Kagan, “Phonons in nontransition metals” Sov. Phys. Usp. 17, 125–152 (1974).
V. T. Shvets, Physics of Non-Ordered Metals (Mayak, Odessa, 2007), [in Russian].
V. T. Shvets and S. V. Kozitskii, Metallization of Hydrogen and Helium (ONMA, Odessa, 2013), [in Russian].
V. V. Kechin, “Melting of metallic hydrogen at high pressures,” JETP Lett. 79, 40–43 (2004).
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Original Russian Text © V.T. Shvets, 2015, published in Fizika Metallov i Metallovedenie, 2015, Vol. 116, No. 4, pp. 348–355.
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Shvets, V.T. Interaction of protons in metallic hydrogen. Phys. Metals Metallogr. 116, 328–335 (2015). https://doi.org/10.1134/S0031918X1502012X
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DOI: https://doi.org/10.1134/S0031918X1502012X