RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2012

 / 

November

←  →

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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (122) ↓ Similar articles (20)

  1. Demishev S V Uspekhi Fizicheskikh Nauk 194 23 (2024)
  2. [Demishev S V Phys. Usp. 67 22 (2024)]
  3. de Oliveira C R S, de Oliveira P V et al Journal Of Environmental Sciences 140 123 (2024)
  4. Atamas N O, Yablochkova K S et al Fluid Phase Equilibria 576 113951 (2024)
  5. Tovbin Yu K Russ. J. Phys. Chem. B 17 1569 (2023)
  6. He R, Yi P, Li T Fuel 331 125729 (2023)
  7. Brazhkin V V Uspekhi Fizicheskikh Nauk 193 1227 (2023)
  8. [Brazhkin V V Phys. Usp. 66 1154 (2023)]
  9. Vasin M, Ankudinov V Math Methods In App Sciences (2023)
  10. Batalin O Yu, Vafina N G The Journal Of Supercritical Fluids 203 106081 (2023)
  11. Voloshin V P, Naberukhin Yu I J Struct Chem 64 208 (2023)
  12. Klumov B A Uspekhi Fizicheskikh Nauk 193 305 (2023)
  13. [Klumov B A Phys. Usp. 66 288 (2023)]
  14. Apfelbaum E M Journal Of Molecular Liquids 389 122877 (2023)
  15. Brazhkin V V, Danilov I V, Tsiok O B Jetp Lett. 117 834 (2023)
  16. Atamas N O, Yablochkova K S et al Appl Nanosci 13 5101 (2023)
  17. Liu M, Tang J et al The Journal Of Supercritical Fluids 183 105554 (2022)
  18. Mozafar O, Denniston C Phys. Rev. E 105 (6) (2022)
  19. Ghandili A, Moeini V Fluid Phase Equilibria 555 113355 (2022)
  20. Khrapak S A 156 (11) (2022)
  21. Apfelbaum E M J. Phys. Chem. B 126 2912 (2022)
  22. Ghandili A, Moeini V Fluid Phase Equilibria 562 113564 (2022)
  23. Khrapak S A, Khrapak A G 157 (1) (2022)
  24. Tsiok E N, Fomin Yu D et al 156 (11) (2022)
  25. Vasin M G Phys. Rev. E 106 (4) (2022)
  26. Volkov N B, Lipchak A I Condensed Matter 7 61 (2022)
  27. Apfelbaum E M, Vorob’ev V S High Temp 60 S339 (2022)
  28. Atamas N A, Lazarenko M M et al RSC Adv. 11 37307 (2021)
  29. Khrapak S A, Yurchenko S O 155 (13) (2021)
  30. Fomin Yu D, Tsiok E N et al Journal Of Molecular Liquids 337 116450 (2021)
  31. Khrapak S A, Khrapak A G Phys. Rev. E 103 (4) (2021)
  32. Ghandili A, Moeini V Physics And Chemistry Of Liquids 59 113 (2021)
  33. Cockrell C, Brazhkin V V, Trachenko K Physics Reports 941 1 (2021)
  34. Mareev E I, Sviridov A P, Gordienko V M IJMS 22 9813 (2021)
  35. Atamas N, Yablochkova K S, Lazarenko M M Journal Of Molecular Liquids 332 115900 (2021)
  36. Maxim F, Karalis K et al Advanced Science 8 (3) (2021)
  37. Khomkin A L, Shumikhin A S Uspekhi Fizicheskikh Nauk 191 1187 (2021) [Khomkin A L, Shumikhin A S Phys.-Usp. 64 1125 (2021)]
  38. Maxim F, Poenaru I et al Energies 14 7399 (2021)
  39. Khrapak S A, Khrapak A G Phys. Rev. E 104 (4) (2021)
  40. Abdulagatov I M, Skripov P V Russ. J. Phys. Chem. B 15 1171 (2021)
  41. Tolias P, Lucco C F 28 (3) (2021)
  42. Khrapak S A Molecules 26 7499 (2021)
  43. Atamas N, Gavryushenko D et al Journal Of Molecular Liquids 340 117201 (2021)
  44. Tovbin Yu K Russ. J. Phys. Chem. 95 429 (2021)
  45. Bell I H, Galliero G et al 152 (19) (2020)
  46. Fomin Yu D J. Phys.: Condens. Matter 32 395101 (2020)
  47. Ryzhov V N, Tareyeva E E et al Uspekhi Fizicheskikh Nauk 190 449 (2020) [Ryzhov V N, Tareyeva E E et al Phys.-Usp. 63 417 (2020)]
  48. Uwineza P A, Waśkiewicz A Molecules 25 3847 (2020)
  49. Walker P J, Haslam A J J. Chem. Eng. Data 65 5809 (2020)
  50. Pestryaev E M Polym. Sci. Ser. A 62 766 (2020)
  51. Cockrell C, Dicks O A et al J. Phys.: Condens. Matter 32 385102 (2020)
  52. Ghandili A, Moeini V AIChE Journal 66 (9) (2020)
  53. Cockrell C J, Dicks O et al Phys. Rev. E 101 (5) (2020)
  54. Kryuchkov N P, Mistryukova L A et al Sci Rep 9 (1) (2019)
  55. Fomin Yu D, Tsiok E N et al Journal Of Molecular Liquids 287 110992 (2019)
  56. Fomin Yu D Physics And Chemistry Of Liquids 57 67 (2019)
  57. Fomin Yu D Molecular Physics 117 2786 (2019)
  58. Kats E I J. Exp. Theor. Phys. 129 751 (2019)
  59. Pipich V, Schlenstedt K et al Journal Of Membrane Science 573 167 (2019)
  60. Fomin YuD, Tsiok E N et al Fluid Phase Equilibria 498 45 (2019)
  61. Fomin Yu D, Ryzhov V N et al J. Phys.: Condens. Matter 30 134003 (2018)
  62. Khomkin A L, Shumikhin A S High Temp 56 467 (2018)
  63. Brazhkin V V, Prescher C et al J. Phys. Chem. B 122 6124 (2018)
  64. Lazarev A V, Tatarenko P A, Tatarenko K A Russ. J. Phys. Chem. B 12 1152 (2018)
  65. Mareev E, Aleshkevich V et al Opt. Express 26 13229 (2018)
  66. Khomkin A L, Shumikhin A S Plasma Phys. Rep. 44 958 (2018)
  67. Brazhkin V V, Fomin Yu D et al Physica A: Statistical Mechanics And Its Applications 509 690 (2018)
  68. Tareyeva E E, Fomin Yu D et al Theor Math Phys 194 148 (2018)
  69. Pipich V, Schwahn D Phys. Rev. Lett. 120 (14) (2018)
  70. Kats E I J. Exp. Theor. Phys. 127 939 (2018)
  71. Artemenko S, Krijgsman P, Mazur V Journal Of Molecular Liquids 238 122 (2017)
  72. Khomkin A L, Shumikhin A S J. Exp. Theor. Phys. 125 1189 (2017)
  73. Khrapak S, Klumov B, Couëdel L Sci Rep 7 (1) (2017)
  74. Wang L, Yang C et al Phys. Rev. E 95 (3) (2017)
  75. Brazhkin V V Uspekhi Fizicheskikh Nauk 187 1028 (2017)
  76. Prescher C, Fomin Yu D et al Phys. Rev. B 95 (13) (2017)
  77. Khomkin A L, Shumikhin A S J. Exp. Theor. Phys. 124 1001 (2017)
  78. Khomkin A L, Shumikhin A S J. Exp. Theor. Phys. 124 70 (2017)
  79. Fomin Yu D, Ryzhov V N et al J. Phys.: Condens. Matter 29 345401 (2017)
  80. Wang L, Dove M T et al Phys. Rev. E 96 (1) (2017)
  81. Baldock R J N Classical Statistical Mechanics with Nested Sampling Springer Theses Chapter 5 (2017) p. 31
  82. Baldock R J N Classical Statistical Mechanics with Nested Sampling Springer Theses Chapter 8 (2017) p. 61
  83. Khusnutdinoff R M Colloid J 78 225 (2016)
  84. Tareeva E E, Tareeva E E i dr Teoreticheskaya Matematicheskaya Fizika 189 464 (2016) [Tareyeva E E, Ryzhov V N Theor Math Phys 189 1806 (2016)]
  85. Dyre Je C J. Phys.: Condens. Matter 28 323001 (2016)
  86. Norman G E, Saitov I M J. Phys.: Conf. Ser. 774 012015 (2016)
  87. Desgranges C, Delhommelle Je 145 (18) (2016)
  88. Khomkin A L, Shumikhin A S J. Exp. Theor. Phys. 123 891 (2016)
  89. Fomin Yu D, Ryzhov V N et al Physica A: Statistical Mechanics And Its Applications 444 890 (2016)
  90. Trachenko K, Brazhkin V V Rep. Prog. Phys. 79 016502 (2016)
  91. Fomin Yu D, Ryzhov V N et al J. Phys.: Condens. Matter 28 43LT01 (2016)
  92. Vorob’ev V S, Apfelbaum E M High Temp 54 175 (2016)
  93. Desgranges C, Margo A, Delhommelle Je Chemical Physics Letters 658 37 (2016)
  94. Gaiduk E A, Fomin Yu D et al Fluid Phase Equilibria 417 237 (2016)
  95. Khomkin A L, Shumikhin A S J. Exp. Theor. Phys. 121 521 (2015)
  96. Armstrong G Eur. J. Phys. 36 063001 (2015)
  97. Fomin Yu D, Ryzhov V N et al Sci Rep 5 (1) (2015)
  98. Khomkin A L, Shumikhin A S J. Phys.: Conf. Ser. 653 012083 (2015)
  99. Apfelbaum E, Vorob’ev V Springer Proceedings In Physics Vol. Physics of Liquid Matter: Modern ProblemsThe Generalized Similarity Laws and Isocontours in the Thermodynamics of Simple Liquids171 Chapter 6 (2015) p. 139
  100. Fomin Yu D, Ryzhov V N et al Phys. Rev. E 91 (2) (2015)
  101. Trachenko K, Brazhkin V V Phys. Rev. E 91 (3) (2015)
  102. Maslov V P Russ. J. Math. Phys. 21 256 (2014)
  103. Ryltsev R E, Chtchelkatchev N M 141 (12) (2014)
  104. Fedyaeva O N, Vostrikov A A et al Russ. J. Phys. Chem. B 8 1054 (2014)
  105. Maslov V P Math Notes 96 403 (2014)
  106. Maslov V P, Maslov V P Teoreticheskaya Matematicheskaya Fizika 180 394 (2014) [Maslov V P Theor Math Phys 180 1096 (2014)]
  107. Maslov V P Math Notes 95 91 (2014)
  108. Khusnutdinoff R M, Mokshin A V Jetp Lett. 100 39 (2014)
  109. Fomin Yu D, Ryzhov V N et al Sci Rep 4 (1) (2014)
  110. Brazhkin V V, Fomin Yu D et al Phys. Rev. E 89 (4) (2014)
  111. Maslov V P Russ. J. Math. Phys. 21 99 (2014)
  112. Leonov S B, Adamovich I V, Lempert W R 52nd Aerospace Sciences Meeting, (2014)
  113. Bryk T, Gorelli F et al Phys. Rev. E 90 (4) (2014)
  114. Brazhkin V V, Lyapin A G et al Russ. J. Phys. Chem. B 8 1087 (2014)
  115. Maslov V P Math Notes 95 670 (2014)
  116. Maslov V P Math Notes 94 532 (2013)
  117. Apfelbaum E M, Vorob’ev V S J. Phys. Chem. B 117 7750 (2013)
  118. Maslov V P Math Notes 94 722 (2013)
  119. Brazhkin V V, Fomin Yu D et al Phys. Rev. Lett. 111 (14) (2013)
  120. Nikolaev P N Moscow Univ. Phys. 68 196 (2013)
  121. Maslov, Maslov Matematicheskie Zametki 94 237 (2013)
  122. Maslov V P Math Notes 94 231 (2013)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions