[1] S. A.Jacobson, D. C.Rubie, H.Terasaki, and H.Terasaki, R. A.Fischer. Mechanisms and geochemical models of core formation. Deep Earth: Physics and Chemistry of the Lower Mantle and Core, 181-190(2016).

[2] C. B.Agee, M. C.Shannon. Percolation of core melts at lower mantle conditions. Science, 280, 1059(1998).

[3] D. J.Frost, F.Langenhorst, D. C.Rubie, H.Terasaki. Interconnectivity of Fe–O–S liquid in polycrystalline silicate perovskite at lower mantle conditions. Phys. Earth Planet. Inter., 161, 170(2007).

[4] Y.Bando, K.Hirose, M.Mitome, S.Ono, N.Takafuji, F.Xu. Segregation of core melts by permeable flow in the lower mantle. Earth Planet. Sci. Lett., 224, 249(2004).

[5] J. C.Andrews, Y.Liu, W. L.Mao, Y.Meng, C. Y.Shi, J.Wang, W.Yang, L.Zhang. Formation of an interconnected network of iron melt at Earth’s lower mantle conditions. Nat. Geosci., 6, 971(2013).

[6] R.Honda, H.Mizutani, T.Yamamoto. Numerical simulation of Earth’s core formation. J. Geophys. Res., 98, 2075(1993).

[7] H.Samuel, P. J.Tackley. Dynamics of core formation and equilibration by negative diapirism. Geochem., Geophys., Geosyst., 9, Q06011(2008).

[8] D. H.Sharp. An overview of Rayleigh–Taylor instability. Physica D, 12, 3(1984).

[9] S.Chandrasekhar. Hydrodynamic and Hydromagnetic Stability(1968).

[10] S. W.Haan. Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modes. Phys. Rev. A, 39, 5812(1989).

[11] D. J.Stevenson. Models of the Earth’s core. Science, 214, 611(1981).

[12] K.Nakazawa, S.Sasaki. Metal-silicate fractionation in the growing Earth: Energy source for the terrestrial magma ocean. J. Geophys. Res., 91, 9231(1986).

[13] T.Spohn, R.Ziethe. Two-dimensional Stokes flow around a heated cylinder: A possible application for diapirs in the mantle. J. Geophys. Res., 112, B09403(2007).

[14] P.Olson, D.Weeraratne. Experiments on metal–silicate plumes and core formation. Philos. Trans. R. Soc., A, 366, 4253(2008).

[15] H.Azechi, M.Honda, K.Meguro, K.Mima, N.Miyanaga, M.Nakai, K.Shigemori, H.Takabe. Measurements of Rayleigh-Taylor growth rate of planar targets irradiated directly by partially coherent light. Phys. Rev. Lett., 78, 250(1997).

[16] H.Azechi, N.Izumi, M.Matsuoka, M.Nakai, T.Sakaiya, K.Shigemori, H.Shiraga, A.Sunahara, H.Takabe, T.Yamanaka. Ablative Rayleigh-Taylor instability at short wavelengths observed with moiré interferometry. Phys. Rev. Lett., 88, 145003(2002).

[17] D. T.Casey, D. S.Clark, M. J.Edwards, S. W.Haan, A.Hamza, D. E.Hoover, W. W.Hsing, O.Hurricane, J. D.Kilkenny, J.Kroll, O. L.Landen, A.Moore, A.Nikroo, L.Peterson, K.Raman, B. A.Remington, H. F.Robey, V. A.Smalyuk, S. V.Weber, K.Widmann. First measurements of hydrodynamic instability growth in indirectly driven implosions at ignition-relevant conditions on the National Ignition Facility. Phys. Rev. Lett., 112, 185003(2014).

[18] Y.Zhou. Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I. Phys. Rep., 720-722, 1(2017).

[19] B.Albertazzi, J.Ballet, A.Casner, J. M.Di Nicola, P.Di Nicola, E.Falize, I.Igumenshchev, N.Izumi, D.Kalantar, S. F.Khan, M.Koenig, D.Lamb, E.Le Bel, S.Liberatore, C.Mailliet, D.Martinez, L.Masse, T.Michel, B. A.Remington, G.Rigon, Y.Sakawa, T.Sano, V. A.Smalyuk, V.Tikhonchuk, P.Tzeferacos. From ICF to laboratory astrophysics: Ablative and classical Rayleigh–Taylor instability experiments in turbulent-like regimes. Nucl. Fusion, 59, 032002(2019).

[20] H.Azechi, S.Ido, Y.Izawa, J.Jitsuno, Y.Kato, K.MIma, N.Miyanaga, T.Mochizuki, S.Nakai, M.Nakatsuka, K.Nishihara, H.Nishimura, T.Norimatsu, S.Sakabe, T.Sasaki, H.Takabe, M.Takagi, T.Yabe, C.Yamanaka, M.Yamanaka, T.Yamanaka, K.Yoshida. High thermonuclear neutron yield by shock multiplexing implosion with GEKKO XII green laser. Nucl. Fusion, 27, 19(1987).

[21] K.Akimoto, T.Fujikawa, Y.Hironaka, R.Hosogi, H.Kato, T.Kondo, T.Sakaiya, K.Shigemori, H.Terasaki, T.Ueda. Measurements of Rayleigh–Taylor instability growth of laser-shocked iron–silicon alloy. High Pressure Res., 39, 150(2019).

[22] H.Azechi, Y.Izawa, T.Jitsuno, Y.Kato, K.Mima, N.Miyanaga, M.Nakai, S.Nakai, M.Nakatsuka, K.Nishihara, H.Nishimura, T.Norimatsu, T.Sasaki, H.Takabe, M.Takagi, T.Yabe, C.Yamanaka, M.Yamanaka, T.Yamanaka, K.Yoshida. Scalings of implosion experiments for high neutron yield. Phys. Fluids, 31, 2884(1988).

[23] B. A.Remington, R. E.Rudd, J. S.Wark. From microjoules to megajoules and kilobars to gigabars: Probing matter at extreme states of deformation. Phys. Plasmas, 22, 090501(2015).

[24] H.Azechi, T.Endo, M.Honda, R.Ishizaki, K.Mima, N.Miyanaga, M.Nakai, A.Nishiguchi, K.Nishihara, H.Nishimura, K.Shigemori, H.Shiraga, H.Takabe, J. G.Wouchuk. Direct-drive hydrodynamic instability experiments on the GEKKO XII laser. Phys. Plasmas, 4, 4079(1997).

[25] T.Sakaiya. Experimental investigation of ablative Rayleigh-Taylor instability(2005).

[26] J. C.Davis, E. M.Gullikson, B. L.Henke. X-ray interactions: Photoabsorption, scattering, transmission, and reflection at E = 50-30,000 eV, Z = 1-92. At. Data Nucl. Data Tables, 54, 181(1993).

[27] T. R.Boehly, D. K.Bradley, J. P.Knauer, D. D.Meyerhofer, V. A.Smalyuk. Characterization of an x-ray radiographic system used for laser-driven planar target experiments. Rev. Sci. Instrum., 70, 647(1999).

[28] G.Dimonte, C.Fryer, J.Jayaraj, P.-H.Lin, K.Muthuraman, P.Ramaprabhu, G.Rockefeller, P.Woodward. The late-time dynamics of the single-mode Rayleigh-Taylor instability. Phys. Fluids, 24, 074107(2012).

[29] R.Betti, V. N.Goncharov, R. L.McCrory, C. P.Verdon. Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion. Phys. Plasmas, 5, 1446(1998).

[30] T.Kleine, K.Mezger, C.Münker, H.Palme. Rapid accretion and early core formation on asteroids and the terrestrial planets from Hf–W chronometry. Nature, 418, 952(2002).