RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1994

 / 

November

←  →

Reviews of topical problems


Melting of clusters with pair interaction of atoms


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

Analysis of the melting of clusters with pair interaction of atoms by methods of molecular dynamics has revealed special features of the melting process which are useful for the understanding of the microscopic nature of phase transitions in condensed systems. One of these features is the coexistence of solid and liquid phases in a cluster in some temperature range the width of which is inversely proportional to the number of atoms participating in the transition. The melting process is governed by collective motion of cluster atoms, and a potential barrier separates the solid and liquid phases. The physical picture of the melting process has been obtained from computer modeling of clusters. The results demonstrate that the liquid state of clusters with filled shells can be regarded as the lowest excited state with a large statistical weight, and that simple cluster models in which atoms not participating in the transitions are assumed to stay fixed in their lattice sites can describe the melting process only qualitatively.

Fulltext pdf (733 KB)
Fulltext is also available at DOI: 10.1070/PU1994v037n11ABEH000053
PACS: 36.40.+d, 61.46.+w, 64.70.Dv (all)
DOI: 10.1070/PU1994v037n11ABEH000053
URL: https://ufn.ru/en/articles/1994/11/b/
A1994QB04700002
Citation: Smirnov B M "Melting of clusters with pair interaction of atoms" Phys. Usp. 37 1079–1096 (1994)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Смирнов Б М «Плавление кластеров с парным взаимодействием атомов» УФН 164 1165–1185 (1994); DOI: 10.3367/UFNr.0164.199411b.1165

References (101) ↓ Cited by (45) Similar articles (20)

  1. Frenkel Ya I Kinetic Theory Of Liquids (Oxford: Oxford University Press, 1946)
  2. Fisher I Z Statistical Theory Of Liquids (Chicago: University of Chicago Press, 1966)
  3. Stanley H E Introduction To Phase Transitions And Critical Phenomena (Oxford: Claredon Press, 1971)
  4. Ubbelohde A R The Molten State Of Matter (Chichester: John Wiley, 1978)
  5. Pieranski P Contemp. Phys. 24 25 (1983)
  6. Oxtoby D W Nature (London) 347 75 (1990)
  7. Lowen H, Palberg T, Simon R Phys. Rev. Lett. 70 1557 (1993)
  8. Frenken J W M, van der Veen J F Phys. Rev. Lett. 54 134 (1985)
  9. Zhu D M, Dash J G Phys. Rev. Lett. 60 432 (1988)
  10. Stranburg K J Rev. Mod. Phys. 60 161 (1988)
  11. Toxvaerd S Phys. Rev. A 24 2735 (1981)
  12. Tobochnik J, Chester G V Phys. Rev. B 25 6778 (1982)
  13. Abraham F F Phys. Rev. Lett. 50 978 (1983)
  14. Koch S W, Abraham F F Phys. Rev. B 27 2964 (1983)
  15. Abraham F F Phys. Rev. B 29 2606 (1984)
  16. Abraham F F, Koch S W Phys. Rev. B 29 2824 (1983)
  17. Chung T T Surf. Sci. 87 348 (1979)
  18. McTague J P, Als-Nielsen J, Bohr J, Nielsen M Phys. Rev. B 25 7765 (1982)
  19. Migone A D, Li Z R, Chan M H W Phys. Rev. Lett. 53 810 (1984)
  20. Specht E D, Sutton M, Birgenau R G, et al Phys. Rev. B 30 1589 (1984)
  21. Nagler S E, Dutta P, Horn P M, Sinha S K, Moncton D E Bull. Am. Phys. Soc. 30 374 (1985)
  22. Colella N J, Suter R M Phys. Rev. B 34 2052 (1986)
  23. Nielson M, Als-Nielson J, Bohr J, et al Phys. Rev. B 35 1419 (1987)
  24. Greiser N, Held G A, et al Phys. Rev. Lett. 59 1625 (1987)
  25. McGinty D J J Chem. Phys. 58 4733 (1973)
  26. Kristensen W D, Jensen E J, Cotterill R M J J Chem. Phys. 60 4161 (1974)
  27. Briant C L, Burton J J J. Chem. Phys. 63 2045 (1975)
  28. Etters R D, Kaelberer J B Phys. Rev. A 11 1068 (1975)
  29. Kaelberer J B, Etters R D J Chem. Phys. 66 3223 (1977)
  30. Etters R D, Kaelberer J B J Chem. Phys. 66 5112 (1977)
  31. Nauchitel V V, Pertsin A J Mol. Phys. 40 1341 (1980)
  32. Quirke N, Sheng P Chem. Phys. Lett. 110 63 (1984)
  33. Berry R S, Jellinek J, Natanson G Phys. Rev. A 30 919 (1984)
  34. Jellinek J, Beck T L, Berry R S J Chem. Phys. 84 2783 (1986)
  35. Amar F, Berry R S J Chem. Phys. 85 5943 (1986)
  36. Beck T L, Jellinek J, Berry R S J Chem. Phys. 87 545 (1987)
  37. Beck T L, Berry R S J Chem. Phys. 88 3910 (1988)
  38. Reiss H, Mirabel P, Whetten R L J Phys. Chem. 92 7241 (1988)
  39. Berry R S, Beck T L, Davis H L, Jellinek J Adv. Chem. Phys. 90 75 (1988)
  40. Berry R S, Wales D J Phys. Rev. Lett. 63 1156 (1989)
  41. Berry R S Phase Trans. 24–26 259 (1990)
  42. Wales D J, Berry R S J Chem. Phys. 92 4283 (1990)
  43. Braier P A, Berry R S, Wales D J J Chem. Phys. 93 8745 (1990)
  44. Berry R S J Chem. Soc. Faraday Trans. 86 2343 (1990)
  45. Wales D J Chem. Phys. Lett. 166 419 (1990)
  46. Cheng H P, Berry R S Mat. Res. Soc. Symp. Proc. 206 241 (1991)
  47. Cheng H P, Berry R S Phys. Rev. A 45 7969 (1992)
  48. Cheng H P, Li X, Whetten R L, Berry R S Phys. Rev. A 46 791 (1992)
  49. Berry R S Int. J. Mod. Phys. B 6 3695 (1993)
  50. Kunz R E, Berry R S Phys. Rev. Lett. 71 3987 (1993)
  51. Berry R S Chem. Rev. 93 1895 (1993)
  52. Kunz R E, Berry R S Phys. Rev. E 49 1895 (1994)
  53. Matland G C, Rigby M, Smith E B, Wakeham W A Inter-molecular Forces (Oxford: Claredon Press, 1981)
  54. Azis R A Inert Gas Potentials, Dynamics And Energy Transfer In Doped Crystals (Ed. M Klein) (Berlin: Springer, 1984) p. 5
  55. Radzig A A, Smirnov B M Reference Data On Atoms, Molecules And Ions (Berlin: Springer, 1985)
  56. Huber K P, Herzberg G Constants Of Diatomic Molecules (New York: Van Nostrand, 1979)
  57. Schwenther N, Koch E E, Jorther J Electronic Excitations In Condensed Rare Gases (Berlin: Springer, 1985)
  58. LaRocque P E, Lipson R H, Herman P R, Stoicheff B P J Chem. Phys. 84 6627 (1986)
  59. Aziz R A, Slaman M J Mol. Phys. 58 679 (1986)
  60. Patil C H J Phys. B 20 3075 (1987)
  61. McLean A D, Lin B, Barker J A J Chem. Phys. 89 6339 (1988)
  62. Herman P R, LaRocque P E, Stoicheff B P J Chem. Phys. 89 4535 (1988)
  63. Aziz R A, Slaman M J Chem. Phys. 130 187 (1989)
  64. Dham A K, Allnatt A R, Meath W J, Aziz R A Mol. Phys. 67 1291 (1989)
  65. Aziz R A, Slaman M J J Chem. Phys. 92 1030 (1990)
  66. Dham A K, Meath W J, Allnatt A R, et al Chem. Phys. 142 173 (1990)
  67. Moses A J Practicing Scientists Handbook (New York: Van Nostrand and Reinhold, 1978)
  68. Kittel Ch Introduction To Solid State Physics (New York: John Wiley, 1986); Efimov A I (Ed.) Svoistva Neorganicheskikh Soedinenii. Spravochnik (Properties Of Inorganic Compounds. Reference Book) (Leningrad: Khimiya, 1983)
  69. Leibfried G "Gittertheorie der mechanischen und termischen Eigenschaften der Kristalle" Handbuch VII Vol. Teil 2 (Berlin: Springer, 1965)
  70. Bunn Ch Crystals (New York: Academic Press, 1964)
  71. Ashcroft N M, Mermin N D Solid State Physics (New York: Holt, Rinehart and Wilson, 1976)
  72. Kihara T, Koba S J Phys. Soc. Jpn. 7 348 (1952)
  73. Van de Waal B W Phys. Rev. Lett. 67 3263 (1991)
  74. Bostanjonglo O, Kleinschmidt B Z Phys. A 21 276 (1977)
  75. Schuberth E, Creuzburg M, Muller-Lierheim W Phys. Stat. Sol. 76 301 (1976)
  76. Sonnenblick Y, Alexander E, Kalman Z H, Steinberger I T Chem. Phys. Lett. 52 276 (1977)
  77. Broughton J Q, Gilmer G H J Chem. Phys. 79 5095 (1983)
  78. Smirnov B M Usp. Fiz. Nauk 162 ((12)) 97 (1992); Smirnov B M Sov. Phys. Uspekhi 35 1052 (1992)
  79. Mackay A L Acta Crystallogr. 15 916 (1962)
  80. Van de Waal B W J Chem. Phys. 98 4909 (1993)
  81. Trager F, zu Pulitz G (Eds) Metal Clusters (Berlin: Springer, 1986)
  82. Sugano D, Nishina Y, Ohnishi S (Eds) Microclusters (Berlin: Springer, 1987)
  83. Jena P, Rao B K, Khana S N (Eds) Physics And Chemistry Of Small Clusters (New York: Plenum Press, 1987)
  84. Benedek G, Pachioni M (Eds) Elemental And Molecular Clusters (Berlin: Springer, 1988)
  85. Berstein E R (Ed.) Atomic And Molecular Clusters (Amsterdam: Elsevier, 1990)
  86. Sugano S Microcluster Physics (Berlin: Springer, 1991)
  87. Smirnov B M Cluster Ions And Van Der Waals Molecules (Philadelphia, PA: Gordon and Breach, 1992)
  88. Smirnov B M Usp. Fiz. Nauk 163 ((10)) 29 (1993); Smirnov B M Phys. Uspekhi 36 933 (1993)
  89. Lee J W, Stein G D J Phys. Chem. 91 2450 (1987)
  90. Northby J A J Chem. Phys. 87 6166 (1987)
  91. Van de Waal B W J Chem. Phys. 90 3407 (1989)
  92. Northby J A, Xie J, Freemann D L, Doll J P Z Phys. D 12 69 (1989)
  93. Xie J, Northby J A, Freemann D L, Doll J P J Chem. Phys. 91 612 (1989)
  94. Smirnov B M Usp. Fiz. Nauk 162 ((1)) 119 (1992); Smirnov B M Sov. Phys. Uspekhi 35 37 (1992)
  95. Hoare M R, Pal P Adv. Phys. 20 161 (1971); Hoare M R, Pal P Adv. Phys. 24 645 (1975)
  96. Valkealahti S, Manninen M Z Phys. D 26 255 (1993)
  97. Smirnov B M Phys. Scripta 48 483 (1993); Smirnov B M Phys. Scripta 50 427 (1994)
  98. Stillinger F H, Weber T A J Chem. Phys. 81 5095 (1984)
  99. Buffat P, Borel J P Phys. Rev. A 13 2283 (1976)
  100. Broughton J G Phys. Rev. Lett. 67 2990 (1991)
  101. Clarke A S, Kapral R, Moore B, et al Phys. Rev. Lett. 70 3283 (1993)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions