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

Issues

 / 

1999

 / 

June

←  →

Reviews of topical problems


Approximate equations of the theory of liquids in the statistical thermodynamics of classical liquid systems


Institute for Theoretical and Experimental Biophysics, Russian Academy of Sciences, Institutskaya str. 3, Pushchino, Moscow Region, 142290, Russian Federation

This review presents the fundamentals of the method of integral equations of the theory of liquids. One of the central problems of the theory, the definition of bridge-functionals, is analyzed. Some applications of the method of integral equations to simple liquid systems are discussed, and the problem of description of complex polyatomic classical systems is considered.

Fulltext pdf (340 KB)
Fulltext is also available at DOI: 10.1070/PU1999v042n06ABEH000544
PACS: 05.70.−a, 61.20.Gy, 61.20.Ne, 61.25.Em (all)
DOI: 10.1070/PU1999v042n06ABEH000544
URL: https://ufn.ru/en/articles/1999/6/c/
000081542900003
Citation: Sarkisov G N "Approximate equations of the theory of liquids in the statistical thermodynamics of classical liquid systems" Phys. Usp. 42 545–561 (1999)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Саркисов Г Н «Приближенные уравнения теории жидкостей в статистической термодинамике классических жидких систем» УФН 169 625–642 (1999); DOI: 10.3367/UFNr.0169.199906c.0625

References (99) ↓ Cited by (41) Similar articles (20)

  1. Barker J A, Henderson D Rev. Mod. Phys. 48 587 (1976)
  2. Percus J K, Yevick G J Phys. Rev. 48 1 (1958)
  3. Throop G J, Bearman R J Physica 32 1298 (1966)
  4. Tago Y J. Chem. Phys. 60 1528 (1974)
  5. Metropolis N A et al. J. Chem. Phys. 21 1087 (1953)
  6. Fisher I Z Statisticheskaya Teoriya Zhidkostei (M.: Fizmatgiz, 1961) p. 280
  7. Sarkisov G N, Dashevsky V G, Malenkov G G Mol. Phys. 27 1949 (1974)
  8. Alder B J, Wainwright T J. Chem. Phys. 27 1208 (1957)
  9. Van Leeuwen J M J, Groeneveld J, De Boer J Physica 25 792 (1959)
  10. Morita T, Hiroike K Prog. Theor. Phys. 23 1003 (1960)
  11. Lebovitz J L, Percus J K Phys. Rev. 144 251 (1966)
  12. Rosenfeld Y, Ashcroft N W Phys. Rev. A 20 1208 (1979)
  13. Weyland A Phys. Lett. A 98 113 (1983)
  14. Martynov G A, Sarkisov G N Dokl. Akad. Nauk SSSR 260 1348 (1981)
  15. Martynov G A, Sarkisov G N Mol. Phys. 49 1495 (1983)
  16. Haymet A D J, Rice S, Madden W G J. Chem. Phys. 74 3033 (1988)
  17. Attard P J. Chem. Phys. 95 4471 (1991)
  18. Vompe A G, Sarkisov G N, Martynov G A Zhurn. Fiz. Khim. 68 197 (1994)
  19. Martynov G A, Vompe A G Phys. Rev. E 47 1012 (1993)
  20. Duh D-M, Haymet A D J J. Chem. Phys. 97 7716 (1996)
  21. Lee L L, Ghonasgi D, Lomba E J. Chem. Phys. 104 8058 (1996)
  22. Ballone P Mol. Phys. 59 275 (1986)
  23. Martynov G A Mol. Phys. 42 329 (1981)
  24. Martynov G A Fundamental Theory Of Liquids (Bristol: Adam Hilger, 1992)
  25. Morita T, Hiroike K Prog. Theor. Phys. 25 537 (1961)
  26. Arinshtein E A, Abrosimov B G Zhurn. Strukt. Khim. 9 1064 (1968)
  27. Landau L D, Lifshits E M Statisticheskaya Fizika (M.: Nauka, 1964)
  28. Henderson D, Chen M Can. J. Phys. 48 634 (1970)
  29. Henderson D J, Barker J A, Watts R O IBM. J. Res. Dev. 14 668 (1970)
  30. Vompe A G, Martynov G A Zhurn. Fiz. Khim. 68 433 (1994)
  31. Vompe A G, Martynov G A J. Chem. Phys. 100 5249 (1994)
  32. Sarkisov G N, Martynov G A Zhurn. Fiz. Khim. 60 257 (1986)
  33. Balesku R Ravnovesnaya i Neravnovesnaya Statisticheskaya Mekhanika Vol. 1 (M.: Mir, 1978)
  34. Hansen J P, McDonald I R Theory Of Simple Liquids (London: Academic, 1986)
  35. Krokston K Fizika Zhidkogo Sostoyaniya (M.: Mir, 1978)
  36. Weeks J D, Chandler D, Andersen H C J. Chem. Phys. 54 5237 (1971)
  37. Madden W G, Rice S A J. Chem. Phys. 72 4208 (1980)
  38. Vompe A G, Sarkisov G N, Martynov G A Zhurn. Fiz. Khim. 68 197 (1994)
  39. Vompe A G, Martynov G A, Sarkisov G N Dokl. Ross. Akad. Nauk 358 329 (1998)
  40. Llano-Restrepo M, Chapman W G J. Chem. Phys. 97 2046 (1992)
  41. Llano-Restrepo M, Chapman W G J. Chem. Phys. 100 5139 (1994)
  42. Duh D-M, Haymet A D J J. Chem. Phys. 103 2625 (1995)
  43. Duh D-M, Henderson D J. Chem. Phys. 104 6742 (1996)
  44. Rogers F J, Young D A Phys. Rev. A 30 999 (1984)
  45. Zerah G, Hansen J P J. Chem. Phys. 84 2336 (1986)
  46. Verlet L Mol. Phys. 42 1291 (1981)
  47. Malijevsky A, Labik S Mol. Phys. 60 663 (1987)
  48. Lado F, Foiles M, Ashcroft N W Phys. Rev. A 28 2374 (1983)
  49. Lee L L, Shing K S J. Chem. Phys. 91 477 (1989)
  50. Carnahan N F, Starling K E J. Chem. Phys. 51 635 (1969)
  51. Torrie G M, Patey G N Mol. Phys. 34 1623 (1977)
  52. Alder B J, Hecht C E J. Chem. Phys. 50 2032 (1969)
  53. Henderson D, Madden W G, Fitts D J. Chem. Phys. 64 5026 (1976)
  54. Smith W R, Henderson D, Murphy R D J. Chem. Phys. 61 2911 (1973)
  55. Sarkisov G J. Chem. Phys. 99 2926 (1993)
  56. Holleran E M J. Chem. Phys. 47 5318 (1967)
  57. Nicolas J J Mol. Phys. 37 1429 (1979)
  58. Evans R J. Chem. Phys. 100 591 (1994)
  59. Martynov G A, Sarkisov G N J. Chem. Phys. 93 3445 (1990)
  60. Leote de Carvalho R J F J. Phys. Condens. Matter 6 9275 (1994)
  61. Kirkwood J G J. Chem. Phys. 3 300 (1935)
  62. Singer S J, Chandler D Mol. Phys. 55 621 (1985)
  63. Kiselyov O E, Martynov G A J. Chem. Phys. 93 1942 (1990)
  64. Kjellander R, Sarman S J. Chem. Phys. 90 2768 (1989)
  65. Lee L L J. Chem. Phys. 97 8606 (1992)
  66. Chen X S, Forstmann F, Kasch M J. Chem. Phys. 95 2832 (1991)
  67. Sarkisov G N, Vompe A G, Martynov G A Dokl. Ross. Akad. Nauk 351 218 (1996)
  68. Ulenbek Dzh, Ford Dzh Lektsii Po Statisticheskoi Mekhanike (M.: Mir, 1965)
  69. Lotfi A, Vrabec J, Fischer J Mol. Phys. 76 1319 (1992)
  70. Panagiotopoulos A Z Mol. Phys. 61 813 (1987)
  71. Hansen J P, Verlet L Phys. Rev. 184 151 (1969)
  72. Martynov G A, Sarkisov G N Kristallogr. 34 541 (1989)
  73. Martynov G A, Sarkisov G N Phys. Rev. B 42 2504 (1990)
  74. Cummings P T, Monson P A J. Chem. Phys. 82 4303 (1985)
  75. Lomba E Mol. Phys. 68 87 (1989)
  76. Schlijper A G J. Chem. Phys. 98 1534 (1993)
  77. Watts R O J. Chem. Phys. 50 1358 (1969)
  78. Schmidt A B Phys. Rev. A 45 7636 (1990)
  79. Kincaid J M Mol. Phys. 34 931 (1977)
  80. Chandler D, Andersen H C J. Chem. Phys. 57 1930 (1972)
  81. Monson P A, Morris G P Adv. Chem. Phys. 77 451 (1990)
  82. Chandler D, Silbey R, Ladanyi B M Mol. Phys. 46 1335 (1982)
  83. Cummings P T, Stell G Mol. Phys. 46 383 (1982)
  84. Labik S, Malijevsky A, Vonka P Mol. Phys. 56 709 (1985)
  85. Eisenberg D, Kauzmann W The Structure And Properties Of Water (London: Oxford, 1969)
  86. Berendsen H J C Intermolecular Forces (Dordrecht: Reidel, 1981) p. 331
  87. Jorgensen W L J. Chem. Phys. 77 4156 (1982)
  88. Jorgensen W LM L J. Chem. Phys. 79 926 (1983)
  89. Matsuoka O, Clementy E, Yoshimine M J. Chem. Phys. 64 1351 (1976)
  90. Berendsen H J C, Grigera J R, Straatsma T P J. Phys. Chem. 91 6269 (1987)
  91. Lue L, Blankschtein D J. Phys. Chem 96 8582 (1992)
  92. Ben-Naim A, Marcus Y J. Chem. Phys. 81 2016 (1984)
  93. Sarkisov G N, Tikhonov D A Zhurn. Strukt. Khim. 37 735 (1966)
  94. Pettit B, Rossky P J J. Chem. Phys. 77 1451 (1992)
  95. Tanaka H J. Chem. Phys. 88 1512 (1987)
  96. Ichiye T, Haymet A D J J. Chem. Phys. 89 4315 (1988)
  97. Duh D-M, Perera N, Haymet A D J J. Chem. Phys. 102 3736 (1995)
  98. Yu Hsiang-Ai, Roux B, Karplus M J. Chem. Phys. 92 5020 (1990)
  99. Perkyns J, Pettit B M Biophys. Chem. 51 129 (1994)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions