Iron melting curve with a tricritical point

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 12, 2006, Pages

  Aitta, Anneli ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Classical phase transitions (theory); Hydrodynamic instabilities; Phase diagrams (theory)

Indexed keywords

EID: 37649031519     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/12/P12015     Document Type: Review

References (39)

1. O'Connell J P and Haile J M 2005 Thermodynamics: Fundamentals for Applications (New York: Cambridge University Press) p 372
2. Bridgman P W 1914 Change of phase under pressure. I. The phase diagram of eleven substances with especial reference to the melting curve Phys. Rev. 3 153
3. Bridgman P W 1934 The melting parameters of nitrogen and argon under pressure, and the nature of the melting curve Phys. Rev. 46 930
4. Bilgram J H 1987 Dynamics at the solid-liquid transition: experiments at the freezing point Phys. Rep. 153 1
5. Dimon P, Horn P M, Sutton M, Birgeneau R J and Moncton D E 1985 First-order and continuous melting in a two-dimensional system: monolayer xenon on graphite Phys. Rev. B 31 437
6. Errandonea D, Schwager B, Ditz R, Gessmann C, Boehler R and Ross M 2001 Systematics of transition-metal melting Phys. Rev. B 63 132104
7. Japel S, Schwager B, Boehler R and Ross M 2005 Melting of copper and nickel at high pressure: the role of d electrons Phys. Rev. Lett. 95 167801
8. ter Haar D (ed) 1965 Collected Papers of L. D. Landau (London: Pergamon) p 193
9. Pfeuty P and Toulouse G 1977 Introduction to the Renormalization Group and to Critical Phenomena (London: Wiley)
10. Lawrie I D and Sarbach S 1984 Theory of tricritical points Phase Transitions and Critical Phenomena vol 9 ed C Domb and J Lebowitz (London: Academic)
11. Golubitsky M and Schaeffer D G 1985 Singularities and Groups in Bifurcation Theory vol I (New York: Springer)
12. Landau L D and Lifshitz E M 2001 Statistical Physics Part 1, 3rd edn (Oxford: Butterworth-Heinemann)
13. Dziewonski A M and Anderson D L 1981 Preliminary reference Earth model Phys. Earth Planet. Inter. 25 297
14. Brown J M and McQueen R G 1986 Phase transitions, Grüneisen parameter, and elasticity for shocked iron between 77 and 400 GPa J. Geophys. Res. 91 7485
15. Williams Q, Jeanloz R, Bass J, Svendsen B and Ahrens T J 1987 The melting curve of iron to 250 gigapascals: a constraint on the temperature at Earth's center Science 236 181
16. Yoo C S, Holmes N C, Ross M, Webb D J and Pike C 1993 Shock temperatures and melting of iron at Earth core conditions Phys. Rev. Lett. 70 3931
17. Boehler R 1993 Temperatures in the Earth's core from melting-point measurements of iron at high static pressures Nature 363 534
18. Saxena S K, Shen G and Lazor P 1994 Temperatures in Earth's core based on melting and phase transformation experiments on iron Science 264 405
19. Jephcoat A P and Besedin S P 1996 Temperature measurement and melting determination in the laser-heated diamond-anvil cell Phil. Trans. R. Soc. A 354 1333
20. Shen G, Mao H-k, Hemley R J, Duffy T S and Rivers M L 1998 Melting and crystal structure of iron at high pressures and temperatures Geophys. Res. Lett. 25 373
21. Laio A, Bernard S, Chiarotti G L, Scandolo S and Tosatti E 2000 Physics of iron at Earth's core conditions Science 287 1027
22. Belonoshko A B, Ahuja R and Johansson B 2000 Quasi-ab initio molecular dynamic study of Fe melting Phys. Rev. Lett. 84 3638
23. Alfè D, Price G D and Gillan M J 2002 Iron under Earth's core conditions: Liquid-state thermodynamics and high-pressure melting curve from ab initio calculations Phys. Rev. B 65 165118
24. Belonoshko A B, Ahuja R and Johansson B 2003 Stability of the body-centred-cubic phase of iron in the Earth's inner core Nature 424 1032
25. Ahrens T J, Holland K G and Chen G Q 2002 Phase diagram of iron, revised-core temperatures Geophys. Res. Lett. 29 1150
26. Nguyen J H and Holmes N C 2004 Melting of iron at the physical conditions of the Earth's core Nature 427 339
27. Shen G, Prakapenka V B, Rivers M L and Sutton S R 2004 Structure of liquid iron at pressures up to 58 GPa Phys. Rev. Lett. 92 185701
28. Ma Y, Somayazulu M, Shen G, Mao H-k, Shu J and Hemley R J 2004 In situ X-ray diffraction studies of iron to Earth-core conditions Phys. Earth Planet. Inter. 143/144 455
29. Tan H, Dai C D, Zhang L Y and Xu C H 2005 Method to determine the melting temperatures of metals under megabar shock pressures Appl. Phys. Lett. 87 221905
30. Sun Y-H, Huang H-J, Liu F-S, Yang M-X and Jing F-Q 2005 A direct comparison between static and dynamic melting temperature determinations below 100 GPa Chin. Phys. Lett. 22 2002
31. Lide D R (ed) 2003 CRC Handbook of Chemistry and Physics (Boca Raton, FL: CRC Press)
32. Ohse R W and von Tippelskirch H 1977 The critical constants of the elements and some refractory materials with high critical temperatures (A review) High Temp.-High Press. 9 367
33. Poirier J-P 2000 Introduction to the Physics of the Earth's Interior 2nd edn (Cambridge: Cambridge University Press)
34. Pepperhoff W and Acet M 2001 Constitution and Magnetism of Iron and its Alloys (Berlin: Springer)
35. Lee R W, Kalantar D and Molitoris J (ed) 2004 Warm dense matter: an overview Technical Report UCRL-TR-203844 Lawrence Livermore National Laboratory, Livermore
36. Koenig M, Benuzzi-Mounaix A, Ravasio A, Vinci T, Ozaki N, Lepape S, Batani D, Huser G, Hall T, Hicks D, MacKinnon A, Patel P, Park H S, Boehly T, Borghesi M, Kar S and Romagnani L 2005 Progress in the study of warm dense matter Plasma Phys. Control. Fusion 47 B441
37. Lister J R 2003 Expressions for the dissipation driven by convection in the Earth's core Phys. Earth Planet. Inter. 140 145
38. Melchior P 1986 The Physics of the Earth's Core: an Introduction (Oxford: Pergamon) p 234
39. Roberts P H, Jones C A and Calderwood A R 2003 Energy fluxes and ohmic dissipation in the Earth's core Earth's Core and Lower Mantle ed C A Jones, A M Soward and K Zhang (London: Taylor and Francis)