Issues

 / 

2005

 / 

April

  

Reviews of topical problems


Phase transitions and adjacent phenomena in simple atomic systems

 a,  b
a Department of Chemistry, University of Chicago, 5735 South Ellis Ave., Chicago, Illinois, 60637, USA
b Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation

Clusters and bulk systems of bound atoms with pair-wise interactions have two types of excitations: configurational, due to a change in the atomic arrangement in space, and thermal, associated with atomic vibrations. The configurational excitation is responsible for phase transitions in such systems and can be considered as a transition from the global minimum of the atomic potential energy surface in a multidimensional space of atomic coordinates to some other, higher-energy local minima. From this standpoint, various aspects of aggregate states of atomic clusters are considered, including coexistence of the liquid and solid cluster phases, the freezing point as the temperature of transition from the metastable liquid state to the unstable state, the glassy states as unstable configurationally excited states with long lifetimes, and the phase transition under high pressures when the crystal lattice for the distribution of atoms is no longer the most stable form for the solid state. The concept of voids as elementary internal configurational excitations of a macroscopic atomic system, which are connected with local minima of the potential energy surface, allows us to consider the glassy-solid transition and processes of the growth of nuclei of a new phase as a result of void transport. The degrees of deviation from traditional macroscopic thermodynamics for clusters and bulk systems near a phase transition is analyzed. It is shown that the thermal motion of atoms makes a significant contribution to the entropy jump at the phase transition, which allows us to use the Lindemann criterion for the phase transition and other criteria which use parameters of thermal motion of atoms, even though the inherent nature of the phase transition is determined by configurational excitation.

Fulltext pdf (558 KB)
Fulltext is also available at DOI: 10.1070/PU2005v048n04ABEH002022
PACS: 36.40.Ei, 61.72.Ji, 64.70.Dv, 64.70.Pf (all)
DOI: 10.1070/PU2005v048n04ABEH002022
URL: https://ufn.ru/en/articles/2005/4/b/
000231253100002
2005PhyU...48..345B
Citation: Berry R S, Smirnov B M "Phase transitions and adjacent phenomena in simple atomic systems" Phys. Usp. 48 345–388 (2005)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Берри Р С, Смирнов Б М «Фазовые переходы и сопутствующие явления в простых системах связанных атомов» УФН 175 367–411 (2005); DOI: 10.3367/UFNr.0175.200504b.0367

References (207) ↓ Cited by (48) Similar articles (20)

  1. Huang K Statistical Mechanics (New York: Wiley, 1963)
  2. Brout R Phase Transitions (New York: W.A. Benjamin, 1965)
  3. Kubo R Statistical Mechanics (Amsterdam: North-Holland, 1965)
  4. Ter Haar D Elements Of Thermostatistics 2nd ed. (New York: Holt, Rinehart and Winston, 1966)
  5. Feynman R P Statistical Mechanics (Reading, Mass.: W.A. Benjamin, 1972)
  6. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976)
  7. Berry R S, Jellinek J, Natanson G Phys. Rev. A 30 919 (1984)
  8. Jellinek J, Beck T L, Berry R S J. Chem. Phys. 84 2783 (1986)
  9. Berry R S et al. Adv. Chem. Phys. 90 75 (1988)
  10. Berry R S In Theory Of Atomic And Molecular Clusters (Ed. J Jellinek) (Berlin: Springer, 1999) p. 1
  11. Hoare M R, Pal P Adv. Phys. 20 161 (1971); Hoare M R, Pal P Adv. Phys. 24 645 (1975)
  12. Hoare M R Adv. Chem. Phys. 40 49 (1979)
  13. Ball K D, Berry R S J. Chem. Phys. 111 2060 (1999)
  14. Stillinger F H, Weber T A Phys. Rev. A 25 978 (1982)
  15. Corti D S et al. Phys. Rev. E 55 5522 (1997)
  16. Stillinger F H, Weber T A Phys. Rev. A 28 2408 (1983)
  17. Becker O M, Karplus M J. Chem. Phys. 106 1495 (1997)
  18. Wales D J et al. Adv. Chem. Phys. 115 1 (2000)
  19. Wales D J Energy Landscapes (Cambridge: Cambridge Univ. Press, 2003)
  20. Komatsuzaki T, Berry R S J. Chem. Phys. 110 9160 (1999)
  21. Vekhter B et al. J. Chem. Phys. 106 4644 (1997)
  22. Bragg W, Williams H J Proc. R. Soc. London A 145 699 (1934)
  23. Ziman J M Models Of Disorder (Cambridge: Cambridge Univ. Press, 1979)
  24. Smirnov B M Statistical Physics And Kinetic Theory Of Atomic Systems (M.: IVT RAN, 2001)
  25. Reiss H, Frisch H L, Lebowitz J L J. Chem. Phys. 31 369 (1959)
  26. Lindemann F A Z. Phys. 11 609 (1910)
  27. Hansen J-P, Verlet L Phys. Rev. 184 151 (1969)
  28. Etters R D, Kaelberer J Phys. Rev. A 11 1068 (1975)
  29. Etters R D, Kaelberer J B J. Chem. Phys. 66 512 (1977)
  30. Kaelberer J B, Etters R D J. Chem. Phys. 66 3233 (1977)
  31. Zhou Y et al. J. Chem. Phys. 116 2323 (2002)
  32. Smirnov B M Zh. Eksp. Teor. Fiz. 112 1847 (1997)
  33. Smirnov B M Clusters And Small Particles: In Gases And Plasmas (New York: Springer, 2000)
  34. Smirnov B M Neorg. Mater. 35 672 (1999)
  35. Smirnov B M In Nucleation Theory And Applications: Research Workshop, Dubna, Russia, April 1999 (Eds J W P Schmelzer, G Röpke, V B Priezzhev) (Dubna: JINR, 1999) p. 355
  36. Berry R S, Smirnov B M In Nucleation Theory And Applications: Research Workshop, Dubna, Russia, April 2000 (Eds J W P Schmelzer, G Röpke, V B Priezzhev) (Dubna: JINR, 2002) p. 340
  37. Berry R S, Smirnov B M Zh. Eksp. Teor. Fiz. 120 889 (2001)
  38. Gutzow I, Schmelzer J The Vitreous State (Berlin: Springer, 1995)
  39. Berry R S, Smirnov B M Zh. Eksp. Teor. Fiz. 122 298 (2002)
  40. Berry R S, Smirnov B M J. Chem. Phys. 118 5979 (2003)
  41. Ashcroft N W, Mermin N D Solid State Physics (New York: Holt, Rinehart and Winston, 1976)
  42. Echt O, Sattler K, Recknagel E Phys. Rev. Lett. 47 1121 (1981)
  43. Echt O et al. Ber. Bunsenges. Phys. Chem. 86 860 (1982)
  44. Ding A, Hesslich J Chem. Phys. Lett. 94 54 (1983)
  45. Harris I A, Kidwell R S, Northby J A Phys. Rev. Lett. 53 2390 (1984)
  46. Phillips J C Chem. Rev. 86 619 (1986)
  47. Harris I A et al. Chem. Phys. Lett. 130 316 (1986)
  48. Miehle W et al. J. Chem. Phys. 91 5940 (1989)
  49. Farges J et al. Surf. Sci. 106 95 (1981)
  50. Kim S S, Stein G D J. Colloid. Interface Sci. 87 180 (1982)
  51. Farges J et al. J. Chem. Phys. 78 5067 (1983)
  52. Farges J et al. J. Chem. Phys. 84 3491 (1986)
  53. Lee J W, Stein G D J. Phys. Chem. 91 2450 (1987)
  54. Farges J et al. Adv. Chem. Phys. 70 45 (1988)
  55. Bartell L S Chem. Rev. 86 491 (1986)
  56. Van de Waal B W J. Chem. Phys. 98 4909 (1993)
  57. Easter D C et al. Chem. Phys. Lett. 157 277 (1989)
  58. Easter D C, Whetten R L, Wessel J E J. Chem. Phys. 94 3347 (1991)
  59. Beck S M, Hecht J H J. Chem. Phys. 96 1975 (1992)
  60. Martin T P et al. J. Chem. Phys. 100 2322 (1994)
  61. Martin T P Phys. Rep. 273 199 (1996)
  62. Smirnov B M Usp. Fiz. Nauk 162 (12) 97 (1992); Smirnov B M, Sov. Phys. Usp. 35 1052 (1992)
  63. Ino S J. Phys. Soc. Jpn. 27 941 (1969)
  64. Smirnov B M Usp. Fiz. Nauk 162 (1) 119 (1992); Smirnov B M, Sov. Phys. Usp. 35 37 (1992)
  65. Smirnov B M Usp. Fiz. Nauk 163 (10) 29 (1993); Smirnov B M, Phys. Usp. 36 933 (1993)
  66. Doye J P K, Wales D J, Berry R S J. Chem. Phys. 103 4234 (1995)
  67. Kittel Ch Introduction To Solid State Physics (New York: Wiley, 1986)
  68. Landau L D, Lifshits E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (M.: Nauka, 1974)
  69. Wang S-W, Falicov L M, Searcy A W Surf. Sci. 143 609 (1984)
  70. Raoult B et al. Philos. Mag. B 60 881 (1989)
  71. Smirnov B M Teplofiz. Vys. Temp. 33 700 (1995)
  72. Kihara T, Koba S J. Phys. Soc. Jpn. 7 348 (1952)
  73. Bunn Ch Crystals (New York: Academic Press, 1964)
  74. Leibfried G Gittertheory Der Mechanischen Und Thermischen Eigenschaften Der Kristalle (Handbuch Der Physik, Bd. VII, Teil 2) (Berlin: Springer, 1955)
  75. Mackay A L Acta Cryst. 15 916 (1962)
  76. Smirnov B M Usp. Fiz. Nauk 164 1165 (1994); Smirnov B M Phys. Usp. 37 1079 (1994)
  77. Smirnov B M Chem. Phys. Lett. 232 395 (1995)
  78. Smirnov B M Phys. Scripta 51 402 (1995)
  79. Lennard-Jones J E Proc. R. Soc. London A 106 636 (1925)
  80. Jones J E, Ingham A E Proc. R. Soc. London A 107 463 (1924)
  81. Northby J A et al. Z. Phys. D 12 69 (1989)
  82. Xie J et al. J. Chem. Phys. 91 612 (1989)
  83. van de Waal B W J. Chem. Phys. 90 3407 (1989)
  84. Berri R S, Smirnov B M, Strizhev A Yu Zh. Eksp. Teor. Fiz. 112 1082 (1997)
  85. Smirnov B M, Strizhev A Yu, Berry R S J. Chem. Phys. 110 7412 (1999)
  86. Berri R S, Smirnov B M Zh. Eksp. Teor. Fiz. 117 562 (2000)
  87. Berry R S, Smirnov B M J. Chem. Phys. 113 728 (2000)
  88. Northby J A J. Chem. Phys. 87 6166 (1987)
  89. Van de Waal B W Z. Phys. D 20 349 (1991)
  90. Aziz R A, Slaman M J Chem. Phys. 130 187 (1989)
  91. Aziz R A, Slaman M J J. Chem. Phys. 92 1030 (1990)
  92. Dham A K et al. Mol. Phys. 67 1291 (1989)
  93. Dham A K et al. Chem. Phys. 142 173 (1990)
  94. Smirnov B M Usp. Fiz. Nauk 171 1291 (2001); Smirnov B M Phys. Usp. 44 1229 (2001)
  95. Beck T L, Doll J D, Freeman D L J. Chem. Phys. 90 5651 (1989)
  96. Leitner D M, Doll J D, Whitnell R M J. Chem. Phys. 94 6644 (1991)
  97. Leonas V B Usp. Fiz. Nauk 107 (3) 29 (1972); Leonas V B Sov. Phys. Usp. 15 266 (1972)
  98. Sena L A Edinitsy Fizicheskikh Velichin i Ikh Razmernosti (M.: Nauka, 1977)
  99. Okun’ L B Fizika Elementarnykh Chastits (M.: Nauka, 1984)
  100. Krainov V P Qualitative Methods In Physical Kinetics And Hydrodynamics (New York: American Institute of Physics, 1992)
  101. Moses A J The Practicing Scientist’s Handbook (New York: Van Nostrand Reinhold Co., 1978)
  102. Reid R C, Prausnitz J M, Poling B E The Properties Of Gases And Liquids 4th ed. (New York: McGraw-Hill, 1987)
  103. Rabinovich V A et al. Thermophysical Properties Of Neon, Argon, Krypton, And Xenon (Washington, DC: Hemisphere Publ. Corp., 1988)
  104. Emsley J The Elements 2nd ed. (Oxford: Claredon Press, 1991)
  105. Barin I Thermochemical Data Of Pure Substances 2nd ed. (Weinheim: VCH, 1993)
  106. Lide D R (Ed.) Handbook Of Chemistry And Physics 79th ed. (London: CRC Press, 1998 - 1999)
  107. Smirnov B M Phys. Scripta 58 595 (1998)
  108. Schuberth E, Creuzburg M, Müller-Lierheim W Phys. Status Solidi B 76 301 (1976)
  109. Bostanjonglo O, Kleinschmidt B Z. Phys. A 21 276 (1977)
  110. Sonnenblick Y et al. Chem. Phys. Lett. 52 276 (1977)
  111. Smirnov B M Physics Of Ionized Gases (New York: John Wiley, 2001)
  112. Smirnov B M Physics Of Atoms And Ions (New York: Springer, 2003)
  113. Bernal J D Nature 183 141 (1959)
  114. Scott G D Nature 178 908 (1960)
  115. Bernal J D, Mason J Nature 188 908 (1964)
  116. Hoover W G, Ree F H J. Chem. Phys. 49 3609 (1968)
  117. Rintoul M D, Torquato S Phys. Rev. Lett. 77 4198 (1996)
  118. Rintoul M D, Torquato S Phys. Rev. E 58 532 (1998)
  119. Hirschfelder J O, Curtiss Ch F, Bird R B Molecular Theory Of Gases And Liquids (New York: Wiley, 1954)
  120. Goettel K A et al. Phys. Rev. Lett. 62 665 (1989)
  121. Reichlin R et al. Phys. Rev. Lett. 62 669 (1989)
  122. Eremets M I et al. Phys. Rev. Lett. 85 2797 (2000)
  123. Boehler R et al. Phys. Rev. Lett. 86 5731 (2001)
  124. Jephcoat A P et al. Phys. Rev. Lett. 59 2670 (1987)
  125. Cynn H et al. Phys. Rev. Lett. 86 4552 (2001)
  126. Belonoshko A B, Ahuja R, Johansson B Phys. Rev. Lett. 87 165505 (2001)
  127. Weitz D A, Oliveria M Phys. Rev. Lett. 52 1433 (1984)
  128. Weitz D A et al. Phys. Rev. Lett. 53 1657 (1984)
  129. Weitz D A et al. Phys. Rev. Lett. 54 1416 (1985)
  130. Keefer K D, Schaefer D W Phys. Rev. Lett. 56 2376 (1986)
  131. Aubert C, Cannell D S Phys. Rev. Lett. 56 738 (1986)
  132. Dimon P et al. Phys. Rev. Lett. 57 595 (1986)
  133. Wilcoxon J P, Martin J E, Schaefer D W Phys. Rev. A 39 2675 (1989)
  134. Pusey P N, van Mengen W Nature 320 340 (1986)
  135. Pusey P N, van Mengen W Phys. Rev. Lett. 59 2083 (1987)
  136. Pusey P N et al. Phys. Rev. Lett. 63 2753 (1989)
  137. Zhu J et al. Nature 387 883 (1997)
  138. Chu J H, Lin I Phys. Rev. Lett. 72 4009 (1994)
  139. Thomas H et al. Phys. Rev. Lett. 73 652 (1994)
  140. Hayashi Y, Tachibana K Jpn. J. Appl. Phys. 33 L804 (1994)
  141. Melzer A, Trottenberg T, Piel A Phys. Lett. A 191 301 (1994)
  142. Tsytovich V N Usp. Fiz. Nauk 167 57 (1997); Tsytovich V N Phys. Usp. 40 53 (1997)
  143. Nefedov A P, Petrov O F, Fortov V E Usp. Fiz. Nauk 167 1215 (1997); Nefedov A P, Petrov O F, Fortov V E Phys. Usp. 40 1163 (1997)
  144. Morfill G E et al. Phys. Plasma 6 1769 (1999)
  145. Shukla P K, Mamun A A Introduction To Dusty Plasma Physics (Bristol: IOP Publ., 2001)
  146. Fortov V E i dr. Usp. Fiz. Nauk 174 495 (2004); Fortov V E et al. Phys. Usp. 47 447 (2004)
  147. Morfill G E et al. Phys. Scripta T107 59 (2004)
  148. Icshimaru K Rev. Mod. Phys. 34 1 (1982)
  149. Kremer K, Robbins M O, Grest G S Phys. Rev. Lett. 57 2694 (1986)
  150. Meijer E J, Frenkel D J. Chem. Phys. 94 2269 (1991)
  151. Fortov V E, Yakubov I T Neideal’naya Plazma (M.: Energoatomizdat, 1994)
  152. Hamaguchi S, Farouki R T, Dubin D H E Phys. Rev. E 56 4671 (1997)
  153. Vaulina O, Khrapak S, Morfill G Phys. Rev. E 66 016404 (2002)
  154. Khrapak S A et al. Phys. Rev. E 66 046414 (2002)
  155. Rytkönen A, Valkealahti S, Manninen M J. Chem. Phys. 106 1888 (1997)
  156. Stishov S M Usp. Fiz. Nauk 114 3 (1974); Stishov S M Sov. Phys. Usp. 17 625 (1975)
  157. Van Vitzenburg W, Stryland J C Can. J. Phys. 46 811 (1968)
  158. Crawford R K, Daniels W B Phys. Rev. Lett. 21 367 (1968)
  159. Stishov S M, Fedosimov V I Pis’ma ZhETF 14 326 (1971)
  160. Cheng V M, Daniels W B, Crawford R K Phys. Lett. A 43 109 (1973)
  161. Zha C et al. J. Chem. Phys. 85 1034 (1986)
  162. Jephcoat A P, Beresin S in Proc. US-Japan Conf. Mineral Physics, Washington, 1997
  163. Alder B J, Hoover W G, Young D A J. Chem. Phys. 49 3688 (1968)
  164. Hoover W G, Gray S G, Johnson K W J. Chem. Phys. 55 1128 (1971)
  165. Berry R S, Smirnov B M J. Chem. Phys. 114 6816 (2001)
  166. Khanna S N, Jena P Phys. Rev. Lett. 69 1664 (1992)
  167. Wales D J, Berry R S J. Chem. Phys. 92 4283 (1990)
  168. Natanson G, Amar F, Berry R S J. Chem. Phys. 78 399 (1983)
  169. Berry R S, Jellinek J, Natanson G Chem. Phys. Lett. 107 227 (1984)
  170. Davis H L, Jellinek J, Berry R S J. Chem. Phys. 86 6456 (1987)
  171. Kunz R E, Berry R S Phys. Rev. Lett. 71 3987 (1993)
  172. Kunz R E, Berry R S Phys. Rev. E 49 1895 (1994)
  173. Schmidt M et al. Phys. Rev. Lett. 79 99 (1997)
  174. Schmidt M et al. Nature 393 238 (1998)
  175. Berry R S, Smirnov B M Zh. Eksp. Teor. Fiz. 125 414 (2004)
  176. Berry R S Chem. Rev. 93 2379 (1993)
  177. Wales D J Chem. Phys. Lett. 166 419 (1990)
  178. Cheng H-P, Berry R S Phys. Rev. A 45 7969 (1992)
  179. Beck T L, Jellinek J, Berry R S J. Chem. Phys. 87 545 (1987)
  180. Haberland H In Metal Clusters (Ed. W Ekardt) (Chichester: Wiley, 1999)
  181. Haberland H In Atomic Clusters And Nanoparticles: Les Houches, Session LXXIII, 2 - 28 July 2000 (Eds C Guet et al.) (Berlin: Springer, 2001)
  182. Schmidt M et al. Phys. Rev. Lett. 86 1191 (2001)
  183. Schmidt M et al. Phys. Rev. Lett. 87 203402 (2001)
  184. Gobet F et al. Phys. Rev. Lett. 89 183403 (2002)
  185. Reyes-Nava J A, Garzón I L, Michaelian K Phys. Rev. B 67 165401 (2003)
  186. Bixon M, Jortner J J. Chem. Phys. 91 1631 (1989)
  187. Labastie P, Whetten R L Phys. Rev. Lett. 65 1567 (1990)
  188. Wales D J Mol. Phys. 78 151 (1993)
  189. Wales D J, Berry R S Phys. Rev. Lett. 73 2875 (1994)
  190. Umirzakov I H Phys. Rev. E 60 7550 (1999)
  191. Mülken O, Stamerjohanns H, Borrmann P Phys. Rev. E 64 047105 (2001)
  192. Eitel W The Physical Chemistry Of The Silicates (Chicago: Univ. of Chicago Press, 1954)
  193. Bondi A Physical Properties Of Molecular Crystals, Liquids, And Glasses (New York: Wiley, 1968)
  194. Feltz A Amorphe Und Glasartige Anorganische Festkörper (Berlin: Akademie-Verlag, 1983)
  195. Kouchi A, Kuroda T Jpn. J. Appl. Phys. 29 L807 (1990)
  196. Smirnov B M Usp. Fiz. Nauk 125 331 (1978); Smirnov B M Sov. Phys. Usp. 21 522 (1978)
  197. Naghizadeh J, Rice S A J. Chem. Phys. 36 2710 (1962)
  198. Bewilogua L, Gladun L, Kubsch B J. Low Temp. Phys. 4 299 (1971)
  199. Schmidt W F Liquid State Electronics Of Insulating Liquids (Boca Raton: CRC Press, 1997)
  200. Harms J, Toennies J P, Dalfovo F Phys. Rev. B 58 3341 (1998)
  201. Harms J et al. Phys. Rev. B 63 184513 (2001)
  202. Smirnov B M Plasma Chem. Plasma Proc. 13 673 (1993); Smirnov B M Usp. Fiz. Nauk 163 (10) 29 (1993); Smirnov B M Phys. Usp. 36 933 (1993)
  203. Smirnov B M Usp. Fiz. Nauk 164 665 (1994); Smirnov B M Phys. Usp. 37 621 (1994)
  204. Smirnov B M Usp. Fiz. Nauk 170 495 (2000); Smirnov B M Phys. Usp. 43 453 (2000)
  205. Cohen M H, Grest G S Ann. New York Acad. Sci. 371 199 (1981)
  206. Fox T G (Jr), Flory P J J. Appl. Phys. 21 581 (1950)
  207. Fox T G (Jr), Flory P J J. Phys. Chem. 55 221 (1951)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions