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

Issues

 / 

2002

 / 

June

←  →

Reviews of topical problems


Molecular distribution functions of stable, metastable and amorphous classical models


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

This review is focused on the structure of stable, metastable and amorphous substances described by simple classical models of particles interacting through the central forces. A unified approach suitable for all states is used. The approach is based on the analysis of the molecular distribution functions obtained either by using integral equations for distribution functions, or by numerical computer experiments (Monte Carlo and molecular dynamics methods). One of the most difficult and still controversial problems of using equations obtained in the thermodynamic limit (and designed originally to describe thermodynamically stable equilibrium states) to predict and study the metastable and amorphous states is discussed.

Fulltext pdf (447 KB)
Fulltext is also available at DOI: 10.1070/PU2002v045n06ABEH001003
PACS: 05.20.−y, 61.20.Ne, 64.70.Dv, 64.70.Pf (all)
DOI: 10.1070/PU2002v045n06ABEH001003
URL: https://ufn.ru/en/articles/2002/6/b/
000178593100002
Citation: Sarkisov G N "Molecular distribution functions of stable, metastable and amorphous classical models" Phys. Usp. 45 597–617 (2002)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Саркисов Г Н «Молекулярные функции распределения стабильных, метастабильных и аморфных классических моделей» УФН 172 647–669 (2002); DOI: 10.3367/UFNr.0172.200206b.0647

References (79) ↓ Cited by (30) Similar articles (20)

  1. Balescu R Equilibrium and Nonequilibrium Statistical Mechanics (New York: Wiley, 1975) [Translated into Russian (Moscow: Mir, 1978)]
  2. Evans R, in Fundamentals of Inhomogeneous Fluids (Ed. D Henderson, New York: M. Dekker, 1992) p. 85
  3. Hansen J P, McDonald I R Theory of Simple Liquids 2nd ed. (London: Academic Press, 1986)
  4. Fisher I Z Statisticheskaya Teoriya Zhidkosteî (Statistical Theory of Liquids, Moscow: Fizmatgiz, 1961) [Translated into English (Chicago: Univ. of Chicago Press, 1964)]
  5. Martynov G A Fundamental Theory of Liquids: Method of Distribution Functions (Bristol: A. Hilger, 1992)
  6. Morita T, Hiroike K Prog. Theor. Phys. 25 537 (1961)
  7. Stell G, in The Equilibrium Theory of Classical Fluids (Eds H L Frisch, J L Lebowitz, New York: W.A. Benjamin, 1964) p. II-171
  8. Ornstein L S, Zernike F Proc. Acad. Sci. Amsterdam 17 793 (1914)
  9. Münster A Statistical Thermodynamics (Berlin: Springer, 1969-1974)
  10. Rascón C, Mederos L, Navascués G J. Chem. Phys. 105 10527 (1996)
  11. Sarkisov G N Usp. Fiz. Nauk 169 625 (1999) [Phys. Usp. 42 545 (1999)]
  12. Martynov G A, Sarkisov G N, Vompe A G J. Chem. Phys. 110 3961 (1999)]
  13. Sarkisov G J. Chem. Phys. 114 9496 (2001)
  14. Llano-Restrepo M, Chapman W G J. Chem. Phys. 97 2046 (1992)
  15. Llano-Restrepo M, Chapman W G J. Chem. Phys. 100 5139 (1994)
  16. Duh D-M, Haymet A D J J. Chem. Phys. 103 2625 (1995)
  17. Duh D-M, Henderson D J. Chem. Phys. 104 6742 (1996)
  18. Weeks J D, Chandler D, Andersen H C J. Chem. Phys. 54 5237 (1971)
  19. Martynov G A, Sarkisov G N Mol. Phys. 49 1495 (1983)
  20. Gazzillo D J. Chem. Phys. 95 4565 (1991)
  21. Gazzillo D Mol. Phys. 84 303 (1995)
  22. Zamalin V M, Norman G É, Filinov V S Metod Monte-Karlo v Statisticheskoî Termodinamike (Monte Carlo Method in Statistical Thermodynamics, Moscow: Nauka, 1977)
  23. Metod Molekulyarnoî Dinamiki v Fizicheskoî Chimii (Method of Molecular Dynamics in Physical Chemistry, Ed. Yu K Tovbin, Moscow: Nauka, 1996)
  24. Leote de Carvalho R J F et al. J. Phys.: Condens. Mat. 6 9275 (1994)
  25. Sarkisov G N Dokl. Ross. Akad. Nauk 359 326 (1998) [Dokl. Phys. 43 157 (1998)]
  26. Fisher M E, Widom B J. Chem. Phys. 50 3756 (1969)
  27. Cummings P T, Monson P A J. Chem. Phys. 82 4303 (1985)
  28. Nicolas J J et al. Mol. Phys. 37 1429 (1979)
  29. Kittel C Introduction to Solid State Physics (New York: Wiley, 1976) [Translated into Russian (Moscow: Nauka, 1978)]
  30. Weis J J Mol. Phys. 28 187 (1974)
  31. Kincaid J M, Weis J J Mol. Phys. 34 931 (1977)
  32. Caccamo C, Giaquinta P V, Giunta G J. Phys.: Condens. Mat. 5 B75 (1993)
  33. Kirkwood J G J. Chem. Phys. 3 300 (1935)
  34. Baus M J. Stat. Phys. 48 1129 (1987)
  35. Mermin N D Phys. Rev. 137 A1441 (1965)
  36. Zeng X C, Oxtoby D W J. Chem. Phys. 94 4472 (1991)
  37. Carnahan N F, Starling K E J. Chem. Phys. 51 635 (1969)
  38. Adams D J Mol. Phys. 32 647 (1976)
  39. Panagiotopulos A Z Mol. Phys. 61 813 (1987)
  40. Lotfi A, Vrabec J, Fischer J Mol. Phys. 76 1319 (1992)
  41. Panagiotopulos A Z Int. J. Thermophys. 15 1057 (1994)
  42. Kjellander R, Sarman S J. Chem. Phys. 90 2768 (1989)
  43. Lee L L J. Chem. Phys. 97 8606 (1992)
  44. Kiselyov O E, Martynov G A J. Chem. Phys. 93 1942 (1990)
  45. Johnson J K, Zollweg J A, Gubbins K E Mol. Phys. 78 591 (1993)
  46. Bernal J D Proc. R. Soc. London Ser. A 280 299 (1964)
  47. Spaepen F Nature 408 781 (2000)
  48. Turnbull D J. Chem. Phys. 20 411 (1952)
  49. Truskett T M et al. Phys. Rev. E 58 3083 (1998)
  50. Hansen J-P, Verlet L Phys. Rev. 184 151 (1969)
  51. Giaquinta P V, Giunta G, Giarritta S P Phys. Rev. A 45 R6966 (1992)
  52. Lovett R, Mou C Y, Buff F P J. Chem. Phys. 65 570 (1976)
  53. Tikhonov D A et al. Kolloid. Zh. 53 911 (1991) [Colloid J. 53 761 (1991)]
  54. Tikhonov D A et al. J. Mol. Liq. 82 3 (1999)
  55. Henderson D, Abraham F F, Barker J A Mol. Phys. 31 1291 (1976)
  56. Quintana J, Henderson D, Plischke M J. Phys. Chem. 93 4304 (1989)
  57. Snook I K, Henderson D J. Chem. Phys. 68 2134 (1978)
  58. Mishima O, Stanley H E Nature 396 329 (1998)
  59. Martynov G A Usp. Fiz. Nauk 169 595 (1999) [Phys. Usp. 42 517 (1999)]
  60. Van Hove L Physica 15 951 (1949)
  61. Uhlenbeck G T, Ford G W, in Proc. of the 2nd Summer Seminar on Applied Mathematics, Boulder, Colorado, 1960 (Lectures in Applied Mathematics, Vol. 1, Ed. M Kac, Providence: Am. Math. Soc., 1963)
  62. Klimontovich Yu L Statisticheskaya Fizika (Statistical Physics, Moscow: Nauka, 1982) [Translated into English (Chur: Harwood Acad. Publ., 1986)]
  63. Martynov G A Classical Statistical Mechanics (Dordrecht: Kluwer Acad. Publ., 1997)
  64. Martynov G A, Sarkisov G N Phys. Rev. B 42 2504 (1990)
  65. Martynov G A, Sarkisov G N Kristallogr. 34 541 (1989) [Sov. Phys. Crystallogr. 34 322 (1989)]
  66. Hill T L Statistical Mechanics: Principles and Selected Applications (New York: McGraw-Hill, 1956)
  67. Wales D J, Doye J P K J. Chem. Phys. 103 3061 (1995)
  68. Semenchenko V K Izbrannye Glavy Teoreticheskoî Fiziki (Selected Parts of Theoretical Physics, Moscow: Uchpedgiz, 1960)
  69. Debenedetti P G Metastable Liquids: Concepts and Principles (Princeton, N.J.: Princeton Univ. Press, 1996)
  70. Skripov V P Metastabil’naya Zhidkost’ (Metastable Liquids, Moscow: Nauka, 1972) [Translated into English (New York: J. Wiley, 1973)]
  71. Sarkisov G N Zh. Fiz. Khim. 75 1185 (2001) [Russ. J. Phys. Chem. 75 1068 (2001)]
  72. Ediger M D, Angell C A, Nagel S R J. Phys. Chem. 100 13200 (1996)
  73. Malijevskacute {rus u!!!} A, Labík S, Smith W R Mol. Phys. 72 193 (1991)
  74. Malijevskacute {rus u!!!} A, Labík S Mol. Phys. 60 663 (1987)
  75. Cheng Y-T, Johnson W L Science 235 997 (1987)
  76. Cargill G S Solid State Phys. 30 227 (1975)
  77. Rahman A, Mandell M J, McTague J P J. Chem. Phys. 64 1564 (1976)
  78. Rogers F J, Young D A Phys. Rev. A 30 999 (1984)
  79. Gazzillo D, Della Valle R G J. Chem. Phys. 99 6915 (1993)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions