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Reviews of topical problems


Where is the supercritical fluid on the phase diagram?

 a, b,  a,  a, b,  c,  a,  a
a Institute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
c South East Physics Network and School of Physics, Queen Mary University of London, Mile End Road, London, E1 4NS, UK

We discuss the fluid state of matter at high temperature and pressure. We review the existing ways in which the boundary between a liquid and a quasigas fluid above the critical point are discussed. We show that the proposed ’thermodynamic’ continuation of the boiling line, the ’Widom line’, exists as a line near the critical point only, but becomes a bunch of short lines at a higher temperature. We subsequently propose a new ’dynamic’ line separating a liquid and a gas-like fluid. The dynamic line is related to different types of particle trajectories and different diffusion mechanisms in liquids and dense gases. The location of the line on the phase diagram is determined by the equality of the liquid relaxation time and the minimal period of transverse acoustic excitations. Crossing the line results in the disappearance of transverse waves at all frequencies, the diffusion coefficient acquiring a value close to that at the critical point, the speed of sound becoming twice the particle thermal speed, and the specific heat reaching 2kB. In the high-pressure limit, the temperature on the dynamic line depends on pressure in the same way as does the melting temperature. In contrast to the Widom line, the proposed dynamic line separates liquid and gas-like fluids above the critical point at arbitrarily high pressure and temperature. We propose calling the new dynamic line the ’Frenkel line’.

Fulltext pdf (963 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0182.201211a.1137
PACS: 62.10.+s, 62.50.−p, 63.50.−x, 64.60.F−, 64.60.fd, 65.20.De, 66.20.Cy (all)
DOI: 10.3367/UFNe.0182.201211a.1137
URL: https://ufn.ru/en/articles/2012/11/a/
000314808600001
2-s2.0-84873901364
2012PhyU...55.1061B
Citation: Brazhkin V V, Lyapin A G, Ryzhov V N, Trachenko K, Fomin Yu D, Tsiok E N "Where is the supercritical fluid on the phase diagram?" Phys. Usp. 55 1061–1079 (2012)
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Received: 20th, September 2011, revised: 31st, October 2011, 2nd, November 2011

Оригинал: Бражкин В В, Ляпин А Г, Рыжов В Н, Траченко К, Фомин Ю Д, Циок Е Н «Где находится область сверхкритического флюида на фазовой диаграмме?» УФН 182 1137–1156 (2012); DOI: 10.3367/UFNr.0182.201211a.1137

References (73) ↓ Cited by (135) Similar articles (20)

  1. Kiran E, Debenedetti P G, Peters C J (Eds) Supercritical Fluids. Fundamentals And Applications (Dordrecht: Kluwer Acad. Publ., 2000)
  2. Likal’ter A A Usp. Fiz. Nauk 170 831 (2000); Likal’ter A A Phys. Usp. 43 777 (2000)
  3. Supercritical fluid, http://en.wikipedia.org/wiki/Supercritical_fluid
  4. Hansen J P, McDonald I R Theory Of Simple Liquids (London: Academic Press, 1986)
  5. Grimsditch M, Bhadra R, Torell L M Phys. Rev. Lett. 62 2616 (1989)
  6. Pezeril T, Klieber C, Andrieu S, Nelson K A Phys. Rev. Lett. 102 107402 (2009)
  7. Jeong Y H, Nagel S R, Bhattacharya S Phys. Rev. A 34 602 (1986)
  8. Hosokawa S et al. Phys. Rev. Lett. 102 105502 (2009)
  9. Giordano V M, Monaco G Phys. Rev. B 84 052201 (2011)
  10. Scopigno T, Ruocco G, Sette F Rev. Mod. Phys. 77 881 (2005)
  11. Frenkel’ Ya I Kineticheskaya Teoriya Zhidkostei (L.: Nauka, 1975); Frenkel J Kinetic Theory Of Liquids (Oxford: The Clarendon Press, 1946)
  12. Wallace D C Phys. Rev. E 56 4179 (1997)
  13. Chisolm E D, Wallace D C J. Phys. Condens. Matter 13 R739 (2001)
  14. Brazhkin V V, Buldyrev S V, Ryzhov V N, Stanley H E (Eds) New Kinds Of Phase Transitions: Transformations In Disordered Substances (Dordrecht: Kluwer Acad. Publ., 2002)
  15. Roberts C J, Panagiotopoulos A Z, Debenedetti P G Phys. Rev. Lett. 77 4386 (1996)
  16. Gorelli F et al. Phys. Rev. Lett. 97 245702 (2006)
  17. Santoro M, Gorelli F A Phys. Rev. B 77 212103 (2008)
  18. Katayama Y et al. Nature 403 170 (2000)
  19. Monaco G et al. Phys. Rev. Lett. 90 255701 (2003)
  20. Stanley H E Introduction To Phase Transitions And Critical Phenomena (New York: Oxford Univ. Press, 1971); Stenli G Fazovye Perekhody i Kriticheskie Yavleniya (M.: Mir, 1973)
  21. Xu L et al. Proc. Natl. Acad. Sci. USA 102 16558 (2005)
  22. Nishikawa K et al. J. Chem. Phys. 118 1341 (2003)
  23. Nishikawa K, Morita T Chem. Phys. Lett. 316 238 (2000)
  24. Sato T et al. Phys. Rev. E 78 051503 (2008)
  25. Fisher M E, Widom B J. Chem. Phys. 50 3756 (1969)
  26. Widom B, Rowlinson J S J. Chem. Phys. 52 1670 (1970)
  27. Franzese G, Stanley H E J. Phys. Condens. Matter 19 205126 (2007)
  28. Artemenko S, Lozovsky T, Mazur V J. Phys. Condens. Matter 20 244119 (2008)
  29. Kumar P, Franzese G, Stanley H E Phys. Rev. Lett. 100 105701 (2008)
  30. Kumar P, Franzese G, Stanley H E J. Phys. Condens. Matter 20 244114 (2008)
  31. Brazhkin V V et al. J. Phys. Chem. B 115 14112 (2011)
  32. Brazhkin V V, Ryzhov V N J. Chem. Phys. 135 084503 (2011)
  33. Berberan-Santos M N, Bodunov E N, Pogliani L J. Math. Chem. 43 1437 (2008)
  34. NIST Chemistry WebBook, http://webbook.nist.gov/chemistry/
  35. Simeoni G G et al. Nature Phys. 6 503 (2010)
  36. Batschinski A Ann. Physik 324 307 (1906)
  37. Ben-Amotz D, Herschbach D R Israel J. Chem. 30 59 (1990)
  38. Xu J, Herschbach D R J. Phys. Chem. 96 2307 (1992)
  39. Apfelbaum E M, Vorob’ev V S J. Chem. Phys. 130 214111 (2009)
  40. Brazhkin V V et al. Phys. Rev. E 85 031203 (2012)
  41. Brazhkin V V et al. Pis’ma ZhETF 95 179 (2012); Brazhkin V V JETP Lett. 95 164 (2012)
  42. Maxwell J C Phil. Trans. R. Soc. Lond. 157 49 (1867)
  43. Pontecorvo E Phys. Rev. E 71 011501 (2005)
  44. Pilgrim W-C, Morcel Chr J. Phys. Condens. Matter 18 R585 (2006)
  45. Kob W, Andersen H C Phys. Rev. Lett. 73 1376 (1994)
  46. Schröder Th B et al. J. Chem. Phys. 112 9834 (2000)
  47. De Lorenzi-Venneri G, Chisolm E D, Wallace D C Phys. Rev. E 78 041205 (2008)
  48. Bencivenga F et al. Europhys. Lett. 75 70 (2006)
  49. Balucani U, Zoppi M Dynamics Of The Liquid State (Oxford: Clarendon Press, 1994)
  50. Bryk T et al. J. Chem. Phys. 133 024502 (2010)
  51. Bencivenga F et al. Phys. Rev. Lett. 98 085501 (2007)
  52. Bencivenga F et al. J. Chem. Phys. 130 064501 (2009)
  53. Reid R C, Sherwood Th K The Properties Of Gases And Liquids 2nd ed. (New York: McGraw-Hill, 1966)
  54. Zwanzig R, Mountain R D J. Chem. Phys. 43 4464 (1965)
  55. Kor S K, Tandon U S, Singh B K Phys. Lett. A 38 187 (1972)
  56. Lurie J B J. Low Temp. Phys. 10 751 (1973)
  57. Stishov S M Pis’ma ZhETF 57 189 (1993); Stishov S M JETP Lett. 57 196 (1993)
  58. Trachenko K Phys. Rev. B 78 104201 (2008)
  59. Malescio G J. Phys. Condens. Matter 19 073101 (2007)
  60. Hagen M H J et al. Nature 365 425 (1993)
  61. Gast A P, Russel W B Phys. Today 51 (12) 24 (1998)
  62. Stishov S M Usp. Fiz. Nauk 114 3 (1974); Stishov S M Sov. Phys. Usp. 18 625 (1975)
  63. Klein O Medd. Vetenskapsakad. Nobelinst. 5 (6) (1919)
  64. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Fizmatlit, 1995); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  65. Hoover W G, Gray S G, Johnson K W J. Chem. Phys. 55 1128 (1971)
  66. Zhakhovskii V V Zh. Eksp. Teor. Fiz. 105 1615 (1994); Zhakhovskii V V JETP 78 871 (1994)
  67. Lagar’kov A N, Sergeev V M Usp. Fiz. Nauk 125 409 (1978); Lagar’kov A N, Sergeev V M Sov. Phys. Usp. 21 566 (1978)
  68. van Hecke M J. Phys. Condens. Matter 22 033101 (2010)
  69. Biroli G Séminaire Poincaré 13 37 (2009)
  70. Tamm I E Usp. Fiz. Nauk 76 397 (1962); Tamm I E Sov. Phys. Usp. 5 173 (1962)
  71. Heyes D M, Brańka A C Mol. Phys. 107 309 (2009)
  72. Meier K "Computer simulation and interpretation of the transport coefficients of the Lennard-Jones model fluid" Dissertation ... for Degree of Doktor-Ingenieur (Hamburg: Univ. of the Federal Armed Forces Hamburg, 2002)
  73. Agrawal R, Kofke D A Mol. Phys. 85 43 (1995)
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