RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2023

 / 

March

←  →

Reviews of topical problems


Universal structural properties of three-dimensional and two-dimensional melts

† 
Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation

A brief overview of the key methods for analyzing the structure of three-dimensional (3D) matter is given by using as an example melts of simple model systems like Lennard-Jones, Yukawa, and inverse power law. The behavior of simple structural measures characterizing matter near the melting line is considered in fine detail, and their advantages and disadvantages are discussed. Some indicators that characterize liquid near the melt line are proposed, and their universality and applicability for determining structure of melts of real liquids are discussed. Finally, the structural properties of two-dimensional (2D) liquids are compared with 3D ones. For 2D systems, simple universal criteria of melting are proposed, and their universality is shown using as an example a Yukawa system.

Fulltext pdf (7 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2022.09.039237
Keywords: melts, structural properties, local orientational order, rotational invariants, 2D melting, hexatic phase, 2D liquid
PACS: 61.20.Ja, 61.25.Mv, 61.43.−j (all)
DOI: 10.3367/UFNe.2022.09.039237
URL: https://ufn.ru/en/articles/2023/3/c/
001096987300002
2-s2.0-85182895792
2023PhyU...66..288K
Citation: Klumov B A "Universal structural properties of three-dimensional and two-dimensional melts" Phys. Usp. 66 288–311 (2023)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 30th, July 2021, revised: 5th, July 2022, 12th, September 2022

Оригинал: Клумов Б А «Универсальные структурные свойства трёхмерных и двумерных расплавов» УФН 193 305–330 (2023); DOI: 10.3367/UFNr.2022.09.039237

References (128) ↓ Cited by (9) Similar articles (20)

  1. Yang Y et al Nature 592 60 (2021)
  2. Hirata A et al Science 341 376 (2013)
  3. Lindemann F Phys. Z. 11 609 (1910)
  4. Hansen J-P, Verlet L Phys. Rev. 184 151 (1969)
  5. Raveché H J, Mountain R D, Streett W B J. Chem. Phys. 61 1970 (1974)
  6. Gnan N et al J. Chem. Phys. 131 234504 (2009)
  7. Hansen J P, McDonald I R Theory Of Simple Liquids 3rd ed. (Amsterdam - Boston, MA: Elsevier. Academic Press, 2007)
  8. Hansen J-P, Schiff D Mol. Phys. 25 1281 (1972)
  9. Agrawal R, Kofke D A Mol. Phys. 85 23 (1995)
  10. Hamaguchi S, Farouki R T J. Chem. Phys. 101 9876 (1994)
  11. Dubin D H E, O’Neil T M Rev. Mod. Phys. 71 87 (1999)
  12. Hamaguchi S, Farouki R T, Dubin D H E Phys. Rev. E 56 4671 (1997)
  13. Plimpton S J. Comput. Phys. 117 (1) 1 (1995)
  14. Weber T A, Stillinger F H Ann. New York Acad Sci. 371 335 (1981)
  15. Belashchenko D K Phys. Usp. 56 1176 (2013); Belashchenko D K Usp. Fiz. Nauk 183 1281 (2013)
  16. Belashchenko D K Phys. Usp. 63 1161 (2020); Belashchenko D K Usp. Fiz. Nauk 190 1233 (2020)
  17. Saija F, Prestipino S, Guaquinta P V J. Chem. Phys. 124 244504 (2006)
  18. Khrapak S, Klumov B, Couëdel L Sci. Rep. 7 7985 (2017)
  19. Dyre J C J. Phys. Chem. B 118 10007 (2014)
  20. Ingebrigtsen T S, Schrøder T B, Dyre J C J. Phys. Chem. B 116 1018 (2012)
  21. Costigliola L, Schrøder T B, Dyre J C Phys. Chem. Chem. Phys. 18 14678 (2016)
  22. Zhakhovskii V V J. Exp. Theor. Phys. 78 871 (1994); Zhakhovskii V V Zh. Eksp. Teor. Fiz. 105 1615 (1994)
  23. Ryltsev R E, Chtchelkatchev N M Phys. Rev. E 88 052101 (2013)
  24. Prestipino S, Saija F, Guaquinta P V J. Chem. Phys. 123 144110 (2005)
  25. Brazhkin V V et al Phys. Rev. E 85 031203 (2012)
  26. Brazhkin V V et al Phys. Usp. 55 1061 (2012); Brazhkin V V et al Usp. Fiz. Nauk 182 1137 (2012)
  27. Brazhkin V V Phys. Usp. 62 623 (2019); Brazhkin V V Usp. Fiz. Nauk 189 665 (2019)
  28. Fortov V E et al Phys. Usp. 47 447 (2004); Fortov V E et al Usp. Fiz. Nauk 174 495 (2004)
  29. Fortov V E, Morfill G E (Eds) Complex And Dusty Plasmas: From Laboratory To Space (Boca Raton, FL: CRC Press-Taylor and Francis, 2010)
  30. Fortov V E et al Phys. Rep. 421 1 (2005)
  31. Morfill G E, Ivlev A V Rev. Mod. Phys. 81 1353 (2009)
  32. Bonitz M, Henning C, Block D Rep. Prog. Phys. 73 066501 (2010)
  33. Nefedov A P, Petrov O F, Fortov V E Phys. Usp. 40 1163 (1997); Nefedov A P, Petrov O F, Fortov V E Usp. Fiz. Nauk 167 1215 (1997)
  34. Nefedov A P et al New J. Phys. 5 33 (2003)
  35. Mitic S et al Phys. Rev. Lett. 101 125002 (2008)
  36. Khrapak S A et al Phys. Rev. Lett. 106 205001 (2011)
  37. Khrapak S A et al Phys. Rev. E 85 066407 (2012)
  38. Khrapak S A, Klumov B A Phys. Plasmas 27 024501 (2020)
  39. Minakov D V, Levashov P R Phys. Rev. B 92 224102 (2015)
  40. Voronoi G J. Reine Angew. Math. 1908 (134) 198 (1908)
  41. Finney J L Proc. R. Soc. Lond. A 319 479 (1970)
  42. Brostow W et al Phys. Rev. B 57 13448 (1998)
  43. Larsen P M, Schmidt S, Schi&oskash;tz J Modelling Simul. Mater. Sci. Eng. 24 055007 (2016)
  44. Cheng Y Q, Ma E Prog. Mater. Sci. 56 379 (2011)
  45. Peng H L et al Appl. Phys. Lett. 96 021901 (2010)
  46. Huang L, Wang C Z, Ho K M Phys. Rev. B 83 184103 (2011)
  47. Chen M NPG Asia Mater. 3 82 (2011)
  48. Richard P et al Europhys. Lett. 48 415 (1999)
  49. Mickel W et al J. Chem. Phys. 138 044501 (2013)
  50. Debenedetti P G, Stillinger F H Nature 410 259 (2001)
  51. Hirata A et al Nat. Mater. 10 28 (2011)
  52. Klumov B A, Ryltsev R E, Chtchelkatchev N M JETP Lett. 104 546 (2016); Klumov B A, Ryltsev R E, Chtchelkatchev N M Pis’ma Zh. Eksp. Teor. Fiz. 104 568 (2016)
  53. Klumov B A, Ryltsev R E, Chtchelkatchev N M J. Chem. Phys. 149 134501 (2018)
  54. van Meel J A et al J. Chem. Phys. 136 234107 (2012)
  55. Xiao F, Yin X Comput. Math. Appl. 72 328 (2016)
  56. Pustylnik M Y et al Phys. Rev. Res. 2 033314 (2020)
  57. Bernal J D Proc. R. Soc. Lond. A 280 299 (1964)
  58. Steinhardt P J, Nelson D, Ronchetti M Phys. Rev. Lett. 47 1297 (1981)
  59. Steinhardt P J, Nelson D R, Ronchetti M Phys. Rev. B 28 784 (1983)
  60. Mituś A C, Patashinskii A Z Phys. Lett. A 87 179 (1982)
  61. Mitus A C, Patashinskii A Z Phys. Lett. A 98 31 (1983)
  62. ten Wolde P R, Ruiz-Montero M J, Frenkel D J. Chem. Phys. 104 9932 (1996)
  63. Errington J R, Debenedetti P G, Torquato S J. Chem. Phys. 118 2256 (2003)
  64. Klumov B A JETP Lett. 97 327 (2013); Klumov B A Zh. Eksp. Teor. Fiz. 97 372 (2013)
  65. Klumov B A JETP Lett. 98 259 (2013); Klumov B A Pis’ma Zh. Eksp. Teor. Fiz. 98 296 (2013)
  66. Torquato S, Truskett T M, Debenedetti P G Phys. Rev. Lett. 84 2064 (2000)
  67. Luchnikov V et al J. Mol. Liq. 96-97 185 (2002)
  68. Anikeenko A V, Medvedev N N Phys. Rev. Lett. 98 235504 (2007)
  69. Jin Y, Makse H A Physica A 389 5362 (2010)
  70. Klumov B A, Khrapak S A, Morfill G E Phys. Rev. B 83 184105 (2011)
  71. Klumov B A, Jin Y, Makse H A J. Phys. Chem. B 118 10761 (2014)
  72. van Blaaderen A, Wiltzius P Science 270 1177 (1995)
  73. Gasser U et al Science 292 5515 (2001)
  74. Kawasaki T, Tanaka H J. Phys. Condens. Matter 22 232102 (2010)
  75. Wochner P et al Proc. Natl. Akad. Sci. USA 106 11511 (2009)
  76. Morfill G E et al Phys. Scr. 2004 (T107) 59 (2004)
  77. Klumov B A, Morfill G E JETP Lett. 90 444 (2009); Klumov B A, Morfill G E Pis’ma Zh. Eksp. Teor. Fiz. 90 489 (2009)
  78. Klumov B A, Morfill G E J. Exp. Theor. Phys. 107 908 (2008); Klumov B A, Morfill G E Zh. Eksp. Teor. Fiz. 134 1059 (2008)
  79. Mitic S et al Phys. Rev. Lett. 101 125002 (2008)
  80. Klumov B et al Plasma Phys. Control. Fusion 51 124028 (2009)
  81. Klumov B et al Europhys. Lett. 92 15003 (2010)
  82. Klumov B A Phys. Usp. 53 1053 (2010); Klumov B A Usp. Fiz. Nauk 180 1095 (2010)
  83. Xu R et al Nat. Mater. 14 1099 (2015)
  84. Yang L et al Scr. Mater. 63 879 (2010)
  85. Ryltsev R E et al J. Chem. Phys. 145 034506 (2016)
  86. Sheng H W et al Nature 439 419 (2006)
  87. Baule A et al Rev. Mod. Phys. 90 015006 (2018)
  88. Hanifpour M et al Phys. Rev. Lett. 113 148001 (2014)
  89. Fomin Yu D et al J. Chem. Phys. 141 034508 (2014)
  90. Vasilyev O A, Klumov B A, Tkachenko A V Phys. Rev. E 88 012302 (2013)
  91. Klumov B A JETP Lett. 114 406 (2021); Klumov B A Pis’ma Zh. Eksp. Teor. Fiz. 114 467 (2021)
  92. Ryzhov V N et al Phys. Usp. 60 857 (2017); Ryzhov V N et al Usp. Fiz. Nauk 187 921 (2017)
  93. Berezinskii V L Sov. Phys. JETP 32 493 (1971); Berezinskii V L Zh. Eksp. Teor. Fiz. 59 907 (1970)
  94. Berezinskii V L Sov. Phys. JETP 34 610 (1972); Berezinskii V L Zh. Eksp. Teor. Fiz. 61 1144 (1971)
  95. Kosterlitz J M, Thouless D J J. Phys. C 6 1181 (1973)
  96. Halperin B I, Nelson D R Phys. Rev. Lett. 41 121 (1978)
  97. Nelson D R, Halperin B I Phys. Rev. B 19 2457 (1979)
  98. Young A P Phys. Rev. B 19 1855 (1979)
  99. Chui S T Phys. Rev. B 28 178 (1983)
  100. Bedanov V M, Gadiyak G V, Lozovik Yu E Phys. Lett. A 109 289 (1985)
  101. Zahn K, Lenke R, Maret G Phys. Rev. Lett. 82 2721 (1999)
  102. Gasser U et al ChemPhysChem 11 963 (2010)
  103. Wang Z et al J. Chem. Phys. 132 154501 (2010)
  104. Kapfer S C, Krauth W Phys. Rev. Lett. 114 035702 (2015)
  105. Hartmann P et al Phys. Rev. E 72 026409 (2005)
  106. Zakharchenko K V, Katsnelson M I, Fasolino A Phys. Rev. Lett. 102 046808 (2009)
  107. Los J H Phys. Rev. B 91 045415 (2015)
  108. Huang P et al Nat. Nanotechnol. 15 761 (2020)
  109. Lin B-J, Chen L-J J. Chem. Phys. 126 034706 (2007)
  110. Krebs Z et al J. Chem. Phys. 149 034503 (2018)
  111. Sun X et al Sci. Rep. 6 24056 (2016)
  112. Digregorio P et al Soft Matter 18 566 (2022)
  113. Klumov B A JETP Lett. 115 108 (2022); Klumov B A Pis’ma Zh. Eksp. Teor. Fiz. 115 117 (2022)
  114. Baranyai A, Evans D J Phys. Rev. A 40 3817 (1989)
  115. Wang Z et al J. Chem. Phys. 134 034506 (2011)
  116. Thorneywork A L et al Phys. Rev. Lett. 115 268301 (2015)
  117. Thorneywork A L et al J. Phys. Condens. Matter 30 104003 (2018)
  118. Klumov B A, Khrapak S A Results Phys. 17 103020 (2020)
  119. Ryzhov V N et al Phys. Usp. 63 417 (2020); Ryzhov V N et al Usp. Fiz. Nauk 190 449 (2020)
  120. Derzsi A et al Phys. Plasmas 21 023706 (2014)
  121. Qi W, Gantapara A P, Dijkstra M Soft Matter 10 5449 (2014)
  122. Klumov B A JETP Lett. 116 703 (2022); Klumov B A Pis’ma Zh. Eksp. Teor. Fiz. 116 681 (2022)
  123. Dubin D H E Phys. Rev. E 55 4017 (1997)
  124. Totsuji H, Totsuji C, Tsuruta K Phys. Rev. E 64 066402 (2001)
  125. Sheridan T E Phys. Plasmas 16 083705 (2009)
  126. Durniak C et al IEEE Trans. Plasma Sci. 38 2412 (2010)
  127. Klumov B A JETP Lett. 110 715 (2019); Klumov B A Pis’ma Zh. Eksp. Teor. Fiz. 110 729 (2019)
  128. Syrovatka R A et al JETP Lett. 116 869 (2022); Syrovatka R A et al Pis’ma Zh. Eksp. Teor. Fiz. 116 836 (2022)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions