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Viscosity measurements on metal melts at high pressure and viscosity calculations for the earth’s core

 a,  b
a Institute for High Energy Densities, Associated Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13/19, Moscow, 127412, Russian Federation
b Institute of Thermophysics of Extreme States, Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13/19, Moscow, 125412, Russian Federation

A review is given of experimental and calculated data on the viscosity of iron-based melts on the melting curve. The interest in these data originates in the division of opinion on whether viscosity increases rather moderately or considerably in the high-pressure range. This disagreement is especially pronounced in the interpretation of the values of molten iron and its compounds in the environment of the earth’s outer core. The conclusion on a substantial rise in viscosity mostly follows from the universal law, proposed by Brazhkin and Lyapin [1], of viscosity changing along the metal melting curve in the high-pressure range. The review analyzes available experimental and computational data, including the most recent ones. Data on viscosity of metals under shock wave compression in the megabar pressure range are also discussed. It is shown that data on viscosity of metal melts point to a small increase of viscosity on the melting curve. Specifics are discussed of the phase diagram of iron made more complex by the presence of several phase transitions and by the uncertainty in the position of the melting curve in the high-pressure range. Inaccuracies that arise in extrapolating the results of viscosity measurements to the pressure range corresponding to the earth’s core environment are pointed out.

Fulltext is available at IOP
PACS: 62.50.+p, 66.20.+d, 81.30.Bx, 91.35.−x (all)
DOI: 10.1070/PU2004v047n07ABEH001746
URL: https://ufn.ru/en/articles/2004/7/b/
Citation: Mineev V N, Funtikov A I "Viscosity measurements on metal melts at high pressure and viscosity calculations for the earth's core" Phys. Usp. 47 671–686 (2004)
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Оригинал: Минеев В Н, Фунтиков А И «Об измерении вязкости расплавов металлов при высоких давлениях и расчетах вязкости применительно к ядру Земли» УФН 174 727–742 (2004); DOI: 10.3367/UFNr.0174.200407b.0727

References (121) ↓ Cited by (30) Similar articles (20)

  1. Brazhkin V V, Lyapin A G Usp. Fiz. Nauk 170 535 (2000); Brazhkin V V, Lyapin A G Phys. Usp. 43 493 (2000)
  2. Gutenberg B Fizika Zemnykh Nedr (M.: IL, 1963)
  3. Dziewonski A M, Anderson D L Phys. Earth Planet. Inter. 25 297 (1981)
  4. Mao H K et al. J. Geophys. Res. 95 21737 (1990)
  5. Poirier J-P Phys. Earth Planet. Inter. 85 319 (1994)
  6. Boehler R Rev. Geophys. 38 (2) 221 (2000)
  7. Dzhekobs Dzh Zemnoe Yadro (M.: Mir, 1979)
  8. Brazhkin V V Pis’ma ZhETF 68 469 (1998)
  9. Bridgman P W Collected Experimental Papers Vol. IV (Cambridge, Mass.: Harvard Univ. Press, 1964) p. 2155
  10. LeBlanc G E, Secco R A Geophys. Res. Lett. 23 213 (1996)
  11. Vočadlo L et al. Faradey Discuss. 106 205 (1997)
  12. De Wijs G A et al. Nature 392 805 (1998)
  13. Alfè D, Gillan M J Phys. Rev. B 58 8248 (1998)
  14. Alfè D, Gillan M Phys. Rev. Lett. 81 5161 (1998)
  15. Alfè D, Kresse G, Gillan M J Phys. Rev. B 61 132 (2000)
  16. Zhang Y, Guo G, Nie G Phys. Chem. Minerals 27 164 (2000)
  17. Laio A et al. Science 287 1027 (2000)
  18. Vočadlo L et al. Phys. Earth Planet. Inter. 120 145 (2000)
  19. Zhang J-G, Guo G-J Phys. Earth Planet. Inter. 122 289 (2000)
  20. Belonoshko A B, Ahuja R, Johansson B Phys. Rev. Lett. 84 3638 (2000)
  21. Dobson D P Phys. Earth Planet. Inter. 130 271 (2002)
  22. Dobson D P Phys. Earth Planet. Inter. 120 137 (2000)
  23. Rutter M D et al. Phys. Rev. B 66 060102 (2000)
  24. Urakawa S et al. Am. Mineral. 86 578 (2001)
  25. Terasaki H et al. Earth Planet. Sci. Lett. 190 93 (2001)
  26. Rutter M D et al. Geophys. Res. Lett. 29 (8) 58-1 (2002)
  27. Dobson D P et al. Am. Mineral. 85 1838 (2000)
  28. Terasaki H et al. Geophys. Res. Lett. 29 (8) 68-1 (2002)
  29. Dingwell D B Rev. Mineral. 37 397 (1999)
  30. Brazhkin V V, Popova S V Rasplavy (4) 97 (1989)
  31. Brazhkin V V, Voloshin R N, Popova S V Rasplavy (1) 10 (1990)
  32. Mungall J E Geochim. Cosmochim. Acta 66 (1) 125 (2002)
  33. Poirier J P Geophys. J. 92 99 (1988)
  34. Urakawa S et al. Rev. High Pressure Sci. Technol. 7 286 (1998)
  35. Frenkel’ Ya I Kineticheskaya Teoriya Zhidkostei (M.-L.: Izd-vo AN SSSR, 1945)
  36. Glesston S, Leidler K, Eiring G Teoriya Absolyutnykh Skorostei Reaktsii (M.: IL, 1948)
  37. Sohen M N, Turnbull D J. Chem. Phys. 31 1164 (1959)
  38. Swalin R A Acta Metall. 7 736 (1959)
  39. Nahtrieb N Adv. Phys. 16 309 (1967)
  40. Arsent’ev P P, Koledov L A Metallicheskie Rasplavy i Ikh Svoistva (M.: Metallurgiya, 1976)
  41. Frenkel’ Ya I Vvedenie v Teoriyu Metallov 3-e Izd. (M.: Fizmatgiz, 1958)
  42. Boehler R Earth Planet. Sci. Lett. 111 217 (1992)
  43. Boehler R Phys. Earth Planet. Inter. 96 181 (1996)
  44. Anderson O L J. Geophys. Res. 95 (B13) 21697 (1990)
  45. Andrault D et al. Am. Mineral. 85 364 (2000)
  46. Sanloup C F et al. Europhys. Lett. 52 151 (2000)
  47. Lucas L D CR Acad. Sci. 259 3760 (1964)
  48. Yang L, Simnad M T, Derge G J. Met. Soc. Am. 206 1577 (1956)
  49. Anderson O L, Isaak D G Phys. Earth Planet. Inter. 131 19 (2002)
  50. Kuskov O L, Khitarov N I Termodinamika i Geokhimiya Yadra i Mantii Zemli (M.: Nauka, 1982)
  51. Sherman D M Earth Planet. Sci. Lett. 153 149 (1997)
  52. Anderson W W, Ahrens T J J. Geophys. Res. 101 (B3) 5627 (1996)
  53. Boehler R Nature 363 534 (1993)
  54. Saxena S K, Shen G, Lazor P Science 260 1312 (1993)
  55. Saxena S K et al. Science 269 1703 (1995)
  56. Yoo C S et al. Science 270 1473 (1995)
  57. Andrault D et al. Science 278 831 (1997)
  58. Shen G et al. Geophys. Res. Lett. 25 (3) 373 (1998)
  59. Ahrens T J, Holland K G, Chen G Q Geophys. Res. Lett. 29 (7) 54 (2002)
  60. Funtikov A I Teplofiz. Vys. Temp. 41 954 (2003)
  61. Errandonea D et al. Phys. Rev. B 63 132104 (2001)
  62. Brown J M, McQueen R G J. Geophys. Res. 91 7485 (1986)
  63. Nguyen J H, Holms N C In Science And Technology Of High Pressure 156
  64. Ahrens T J, Hua Tan, Bass J D High Pressure Res. 2 145 (1990)
  65. Yoo C S et al. Phys. Rev. Lett. 70 3931 (1993)
  66. Funtikov A I, Osipov R S, Tsyganov V A Teplofiz. Vys. Temp. 37 887 (1999)
  67. Anderson O L, Isaak D G Am. Mineral. 85 376 (2000)
  68. Zharkov V N Vnutrennee Stroenie Zemli i Planet 2-e Izd. (M.: Nauka, 1983)
  69. Anderson D L Nature 285 204 (1980)
  70. Stevenson D J J. Geophys. Res. 88 2445 (1983)
  71. Cormier V F Phys. Earth Planet. Inter. 24 291 (1981)
  72. Courtier N et al. Phys. Earth Planet. Inter. 117 3 (2000)
  73. Smylie D E, McMillan D G Phys. Earth Planet. Inter. 117 71 (2000)
  74. Rieutord M Phys. Earth Planet. Inter. 131 269 (2002)
  75. Greff-Lefftz M, Legros H, Dehant V Phys. Earth Planet. Inter. 122 187 (2000)
  76. Vočadlo L et al. Geophys. Res. Lett. 26 1231 (1999)
  77. Alfè D, Gillan M J, Price G D Nature 401 462 (1999)
  78. Gans R F J. Geophys. Res. 77 (B2) 360 (1972)
  79. Svendsen B et al. Phys. Earth Planet. Inter. 55 154 (1989)
  80. Stixrude L, Cohen R E, Hemley R J Rev. Mineral. 37 639 (1998)
  81. Alfè D, Gillan M J Phys. Rev. Lett. 81 5161 (1998)
  82. Funtikov A I Fiz. Zemli (9) 3 (2001)
  83. Funtikov A I Fiz. Zemli (11) 70 (2000)
  84. Anderson O L Geophys. J. R. Astron. Soc. 84 561 (1986)
  85. Al’tshuler L V Usp. Fiz. Nauk 85 (2) 197 (1965); Al’tshuler L V Sov. Phys. Usp. 8 52 (1965)
  86. Sakharov A D i dr. Dokl. Akad. Nauk SSSR 159 1019 (1964)
  87. Mineev V N, Savinov E V Zh. Eksp. Teor. Fiz. 52 629 (1967)
  88. Mineev V N, Zaidel’ R M Zh. Eksp. Teor. Fiz. 54 1633 (1968)
  89. Mineev V N, Savinov E V Zh. Eksp. Teor. Fiz. 68 1321 (1975)
  90. Al’tshuler L V, Kanel’ G I, Chekin B S Zh. Eksp. Teor. Fiz. 72 663 (1977)
  91. Kanel’ G I, Razorenov S V, Utkin A V, Fortov V E Udarno-volnovye Yavleniya v Kondensirovannykh Sredakh (M.: Yanus-K, 1996)
  92. Savenkov G G, Meshcheryakov Yu I FGV 36 (3) 113 (2002)
  93. Dremin A N, Kanel’ G I Priklad. Mekh. Tekh. Fiz. (2) 146 (1976)
  94. Al’tshuler L V i dr. Usp. Fiz. Nauk 169 323 (1999); Al’tshuler L V et al. Phys. Usp. 42 261 (1999)
  95. Zaidel’ R M Priklad. Mekh. Tekh. Fiz. (4) 30 (1967)
  96. Miller G H, Ahrens T J Rev. Mod. Phys. 63 919 (1991)
  97. Al’tshuler L V i dr. Usp. Fiz. Nauk 166 575 (1996); Al’tshuler L V et al. Phys. Usp. 39 539 (1996)
  98. Zel’dovich Ya B, Raizer Yu P Fizika Udarnykh Voln i Vysokotemperaturnykh Gidrodinamicheskikh Yavlenii (M.: Fizmatgiz, 1963)
  99. Boehler R, Ross M Earth Planet. Sci. Lett. 153 223 (1997)
  100. Moriarty J A, Young D A, Ross M Phys. Rev. B 30 578 (1984)
  101. Shaner J W, Brown R G, McQueen R G In High Pressure In Science And Technology: Proc. Of The 9th AIRAPT Intern. High Pressure Conf., New York, USA, July 24 - 29, 1983 (Mater. Res. Soc. Symp. Proc., Vol. 22, Eds C Homan, R K MacCrone, E Whalley) (New York: North-Holland, 1984) p. 137
  102. Vočadlo L, Alfè D Phys. Rev. B 65 214105 (2002)
  103. Asay J R, Hayes D B J. Appl. Phys. 46 4789 (1975)
  104. Kormer S B i dr. Zh. Eksp. Teor. Fiz. 42 686 (1962)
  105. Kopyshev V P, Medvedev A B Termodinamicheskaya Model’ Szhimaemogo Kovolyuma (Sarov: RFYaTs-VNIIEF, 1995)
  106. Mabire C, Hereil P L AIP Conf. Proc. 620 229 (2002)
  107. Godwal B K et al. Science 248 462 (1990)
  108. Andrade E N Proc. R. Soc. London A 215 36 (1952)
  109. Ogorodnikov V A i dr. Priklad. Mekh. Tekh. Fiz. (5) 5 (1995)
  110. Stepanov G V Uprugoplasticheskoe Deformirovanie i Razrushenie Materialov pri Impul’snom Nagruzhenii (Kiev: Naukova dumka, 1991)
  111. Zakharenko I D, Mali V I v Sb. Gorenie i Vzryv: Materialy 3-go Vsesoyuz. Simp., Leningrad, 5 - 10 Iyulya 1971 G. (M.: Nauka, 1972) p. 575
  112. Deribas A A Fizika Uprochneniya i Svarki Vzryvom (Novosibirsk: Nauka, 1980)
  113. Godunov S K i dr. FGV (1) 135 (1971)
  114. Chhabildas L C, Asay J R J. Appl. Phys. 50 2749 (1979)
  115. Ilyushin A A Uchenye Zapiski MGU, Mekhanika 39 11 (1940)
  116. Popov S M Inzhenernyi Sbornik 1 27 (1941)
  117. Stepanov G V, Kharchenko V V Probl. Prochnosti (8) 59 (1985)
  118. Bat’kov Yu V, Glushak B L, Novikov S A FGV (5) 126 (1989)
  119. Bat’kov Yu V i dr. Priklad. Mekh. Tekh. Fiz. (1) 149 (1988)
  120. Chhabildas L C, Furnish M D, Reinhart W D AIP Conf. Proc. 505 97 (2000)
  121. Ogorodnikov V A i dr. FGV (1) 94 (1992)

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