Issues

 / 

1999

 / 

April

  

Reviews of topical problems


Diffusion mechanisms in disordered systems: computer simulation


Moscow State Institute of Steel and Alloys (Technology University), Leninskii prosp. 4, Moscow, 117936, Russian Federation

Computer simulation results on diffusion in metal and some nonmetal amorphous materials are summarized. Methods for producing and analyzing disordered systems as well as for modeling diffusion processes in such systems are considered. Certain features of diffusion in disordered systems are demonstrated. Possible mechanisms of diffusion in amorphous metals are analyzed.

Fulltext pdf (694 KB)
Fulltext is also available at DOI: 10.1070/PU1999v042n04ABEH000583
PACS: 61.43.−j, 61.43.Er, 66.30.−h (all)
DOI: 10.1070/PU1999v042n04ABEH000583
URL: https://ufn.ru/en/articles/1999/4/a/
000080487700001
Citation: Belashchenko D K "Diffusion mechanisms in disordered systems: computer simulation" Phys. Usp. 42 297–319 (1999)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Белащенко Д К «Механизмы диффузии в неупорядоченных системах (компьютерное моделирование)» УФН 169 361–384 (1999); DOI: 10.3367/UFNr.0169.199904a.0361

References (150) ↓ Cited by (45) Similar articles (20)

  1. Raetzke K, Hueppe P W, Faupel F Key Eng. Mater. (Amorphous Metallic Materials) 81-83 579-582 (1993)
  2. Murata M, Mizoguchi T Key Eng. Mater. (Amorphous Metallic Materials) 81-83 297-302 (1993)
  3. Bottiger J, Chechevin N G, Karpe N, Krog J P Nucl. Instrum. Methods Phys. Res. B 85 (1-4) 206-215 (1994)
  4. Mehrer H, Rummel G "Diffus. Amorphous Mater.", in Proc. Int. Symp. 1993 (Eds H Jain, D Gupta) Miner. Met. Mater. Soc. (Publ. 1994) p. 163-176
  5. Larikov L N Metallofiz. 15 (4) 54 (1993)
  6. Larikov L N Metallofiz. 15 (8) 3 (1993)
  7. Bokshteîn B S, Karpov I V, Klinger L M Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (11) 87 (1985)
  8. Binder K (Ed.) Monte Carlo Methods in Statistical Physics (Berlin: Springer-Verlag, 1979) [Translated into Russian (Moscow: Mir, 1982)]
  9. Heerman D W Computer Simulation Methods in Theoretical Physics (Berlin: Springer-Verlag, 1986) [Translated into Russian (Moscow: Nauka, 1990)]
  10. Belashchenko D K, Tomashpol’skiî M Yu Izv. Akad. Nauk SSSR Metally (6) 137 (1987) [Russ. Metallurgy (6) 139 (1987)]
  11. Polukhin V A, Vatolin N A Modelirovanie Amorphnykh Metallov (Modeling Amorphous Metals, Moscow: Nauka, 1985)
  12. Valuev A A, Norman G E, Podlipchuk V Yu "The molecular dynamics method: theory and applications", in Matematicheskoe Modelirovanie. Fiziko-Khimicheskie Svoîstva Veshchestva (Mathematical Modeling. Physicochemical Properties of Matter, Eds A A Samarskiî, N N Kalitkin, Moscow: Nauka 1989)
  13. Belashchenko D K Usp. Khim. 66 811 (1997)
  14. Polukhin V A, Ukhov V F, Dzugutov M M Komp’yuternoe Modelirovanie Dinamiki i Struktury Zhidkikh Metallov (Computer Simulation of the Dynamics and Structure of Liquid Metals, Moscow: Nauka, 1981)
  15. Belashchenko D K Struktura Zhidkikh i Amorfnykh Metallov (Structure of Liquid and Amorphous Metals, Moscow: Nauka, 1985)
  16. Vatolin N A, Kibanova E A, Polukhin V A Dokl. Ross. Akad. Nauk 356 57 (1997)
  17. Holender J M, Morgan G J J. Phys.: Cond. Matter 3 7241 (1991)
  18. Nakano A, Kalia R K, Vashishta P J. Non-Cryst. Solids 171 (2) 157 (1994)
  19. Car R, Parrinello M Phys. Rev. Lett. 55 2471 (1985)
  20. Kresse G, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 29
  21. Costa Cabral B J, Martins J L, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995 Theses, p. 143
  22. Kresse G, in 6th Int. Conf. on the Structure of Non-Crystalline Materials (NCM6). Praha, Aug. 29-Sept. 2 1994. Abstracts, p. 107
  23. Seifert K, Hafner J, Kresse G, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 64
  24. Yonezawa F, Tanikawa H, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 43
  25. Costa Cabral B J, Cordeiro M N D S, Telo da Gama M M J. Phys.: Cond. Matter. 3 5615 (1991)
  26. Costa Cabral B J, Martins J L, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 144
  27. Kirchhoff F, Holender J M, Gillan M J, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 15
  28. Pusztai L, Svab E J. Phys.: Cond. Matter 5 8815 (1993)
  29. Lamparter P, Steeb S J. Non-Cryst. Solids 192-193 578 (1995)
  30. Pusztai L, Gereben O J. Non-Cryst. Solids 192-193 640 (1995)
  31. Mendelev M I, Belashchenko D K, Ishmaev S N J. Non-Cryst. Solids 205-207 888 (1996)
  32. Mendelev M I J. Non-Cryst. Solids 223 230 (1998)
  33. Belashchenko D K Metally (4) 101 (1998)
  34. Navarra G et al., in 6th Int. Conf. on the Structure of Non-Crystalline Materials (NCM6). Praha, Aug. 29-Sept. 2 1994. Abstracts, p. 197
  35. Woodcock L V J. Chem. Soc. Faraday Trans. II 72 1667 (1976)
  36. Angell C A, Clarke J H R, Woodcock L V, in Adv. in Chemical Physics (Eds I Prigogine, S A Rice) Vol. 48 (New York: Wiley, 1981) p. 397
  37. Tsuneyuki S, in Molecular Dynamics Simulations (Springer Series in Solid-State Sciences, 103, Ed. F Yonezawa, Berlin: Springer-Verlag, 1992) p. 78
  38. Tsuneyuki Sh, Matsui Y Phys. Rev. Lett. 74 3197 (1995)
  39. Swalin R A Acta Metall. 7 736 (1959)
  40. Mathiak G, Griesche A, Kraatz K H, Frohberg G, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 126
  41. Kimura M, Yonezawa F "Computer Glass Transition", in Topological Disorder in Condensed Matter. Proc. 5th Taniguchi Int. Symp., Shimoda, Japan, Nov. 2-5, 1982 (Eds F Yonezawa, T Ninomiya, Berlin, 1983) p. 80
  42. Woodcock L V, Angell C A, Cheeseman P J. Chem. Phys. 65 1565 (1976)
  43. Pavlov V V O "Krizise" Kineticheskoî Teorii Zhidkosti i Zatverdevaniya (On the "Crisis" of the Kinetic Theory of Liquids and Solidification, Ekaterinburg: Izd. Ural. Gos. Gornometallurg. Akad., 1997)
  44. Chen H S et al. Appl. Phys. Lett. 32 461 (1978)
  45. Bokshteîn B S et al. Fiz. Met. Metalloved. 51 561 (1981)
  46. Hivatari Y J Chem. Phys. 76 5502 (1982)
  47. Akhiezer I A, Davydov L N, Spol’nik Z A "Samosoglasovannaya model’ stekol metall-metalloid" ("Self-consistent model of metal-metalloid glasses") Preprint KhFTI 87-36 (Kharkov: Khar’kovskiî Fizikotekhn. Institut Ukrainskoî Akad. Nauk, 1987)
  48. Fam Khak Huang, Belashchenko D K, Nguen Suan Tu Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (11) 152 (1989)
  49. Fam Khak Huang, Belashchenko D K, Nguen Suan Tu "Modelirovanie samodiffuzii v amorfnom zheleze" ("Modeling of self-diffusion in amorphous iron"), manuscript deposited at the All-Union Institute of Scientific and Technical Information, 4211-B89, Moscow (1989)
  50. Belashchenko D K Fiz. Met. Metalloved. 53 1076 (1982)
  51. Belashchenko D K et al. Izv. Akad. Nauk SSSR Metally (2) 57 (1986)
  52. Kijek M, Ahmadzadeh M, Cantor B, in Proc. Int. Conf. Met. Glas.: Sci. and Technol., Budapest, 1980 Vol. 2 (Budapest, 1981) p. 397
  53. Belashchenko D K, Fam Khak Huang Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (11) 89 (1986)
  54. Limoge Y, Bocquet J L Phys. Rev. Lett. 65 60 (1990)
  55. Keller J U Z. Naturforsch. A 26 1539 (1971)
  56. Haus J W, Kehr K W "Diffusion in regular and disordered lattices" Phys. Rep. 150 263 (1987)
  57. Akhiezer I A, Davydov L N "O diffuzii v neuporyadochennykh metallakh" ("On diffusion in disordered metals") Preprint KhFTI 89-16 (Kharkov: Khar’kovskiî Fizikotekhn. Institut Ukrainskoî Akad. Nauk, 1989)
  58. Gorbunov D A, Klinger L M Fiz. Met. Metalloved. 61 1084 (1986)
  59. Belashchenko D K, Fam Khak Huang Fiz. Met. Metalloved. 57 1050 (1984)
  60. Sinaî Ya G Teor. Veroyatn. Primen. 27 247 (1982)
  61. Obukhov S P Pis’ma Zh. Eksp. Teor. Fiz. 39 21 (1984) [JETP Lett. 39 23 (1984)]
  62. Zwanzig R J. Stat. Phys. 28 127 (1982)
  63. Kehr K W, Richter D, Swendsen R H J. Phys. F 8 433 (1978)
  64. Belashchenko D K, Fan Suan Hien Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (1) 94 (1988)
  65. Fam Khak Huang, Belashchenko D K, Nguen Hyu Hung Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (7) 153 (1989)
  66. Fam Khak Huang, Belashchenko D K, Vo Van Hoang Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (9) 153 (1988)
  67. Fam Khak Huang, Belashchenko D K Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (1) 65 (1990)
  68. Belashchenko D K, Fam Khak Huang Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (1) 149 (1983)
  69. Kirkpatrick S Rev. Mod. Phys. 45 574 (1973)
  70. Belashchenko D K, Vo Van Hoang Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (5) 54 (1990)
  71. Limoge Y, Bocquet J L Diffus. Defect Data A 95-98 (Pt. 2) 1153 (1993)
  72. Waseda Y Prog. Mater. 26 1 (1981)
  73. Rahman A J. Chem. Phys. 65 4845 (1976)
  74. Gillan M J, Dixon M J. Phys. C 13 1901 (1980)
  75. Dixon M, Gillan M J J. Phys. C 13 1919 (1980)
  76. Haruyama O, Asahi N, in 6th Int. Conf. on the Structure of Non-Crystalline Materials (NCM6). Praha, Aug. 29-Sept. 2 1994. Abstracts, p. 119
  77. Ming Mao, Altounian Z, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 62
  78. Csach K et al., in 9th Int. Conf. on Rapidly Quenched and Metastable Materials (RQ9). Bratislava, Aug. 25-30, 1996. Book of Abstracts, p. 124
  79. Divinski S V, Larikov L N, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 169
  80. Fam Khak Huang "Modelirovanie diffuzii v dvumernoî neuporyadochennoî sisteme po kol’tsevomu i obmennomu mekhanizmam" ("Modeling of diffusion in a two-dimensional disordered system by the ring and exchange mechanisms"), manuscript deposited at the All-Union Institute of Scientific and Technical Information, 4629-B89, Moscow (1989)
  81. Fam Khak Huang, Belashchenko D K, Nguen Hyu Hung "Modelirovanie diffuzii v neuporyadochennykh reshetkakh" ("Modeling of diffusion in disordered lattices"), manuscript deposited at the All-Union Institute of Scientific and Technical Information, 4628-B89, Moscow (1989)
  82. Fam Khak Huang, Belashchenko D K Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (3) 107 (1990)
  83. Fam Khak Huang, Belashchenko D K Izv. Akad. Nauk SSSR Metally (3) 206 (1990) [Russ. Metallurgy (3) 201 (1990)]
  84. Belashchenko D K Fiz. Met. Metalloved. 63 665 (1987)
  85. Belashchenko D K Fiz. Met. Metalloved. 60 1076 (1985)
  86. Stolz U et al. J. Less-Common Met. 103 (1) 81 (1984)
  87. Nakamura K, Ber. Bunsenges Phys. Chem. 89 (1) 191 (1985)
  88. Gritsenko A B, Andreev L A, Belashchenko D K Fiz. Met. Metalloved. 67 972 (1989)
  89. Albertini L B, Rodriques J A Congr. Anu.-Assoc. Bras. Met. Mater (1992)
  90. Toth J et al. J. Alloys Compd. 23 (1-2) 334 (1995)
  91. Hari P, Taylor P C, Street R A J. Non-Cryst. Solids 198-200 52 (1996)
  92. Dozier W D et al. Mater. Res. Soc. Symp. Proc. (Amorphous Silicon Technology-1992) 258 401 (1992)
  93. Shinar R et al. Mater. Res. Soc. Symp. Proc. (Amorphous Silicon Technology-1992) 258 419 (1992)
  94. Santos P V, Jackson W B Mater. Res. Soc. Symp. Proc. (Amorphous Silicon Technology-1992) 258 425 (1992)
  95. Greim O et al. Solid State Commun. 88 583 (1993)
  96. Beyer W, Zastrow U J. Non-Cryst. Solids 164-166 289 (1993)
  97. Roth J A et al. Mater. Res. Soc. Symp. Proc. (Amorphous Silicon Technology-1993) 297 291 (1993)
  98. Branz H M et al. Mater. Res. Soc. Symp. Proc. (Amorphous Silicon Technology-1993) 297 279 (1993)
  99. Richards P M Phys. Rev. B 27 2059 (1983)
  100. Kirchheim R, Sommer F, Schluckebier G Acta Metall. 30 1059 (1982)
  101. Kirchheim R Acta Metall. 30 1069 (1982)
  102. Gritsenko A N, Belashchenko D K Fiz. Met. Metalloved. 65 1045 (1988)
  103. Gritsenko A N, Belashchenko D K, Kosov I N Fiz. Met. Metalloved. (2) 57 (1991)
  104. Yamamoto R et al. J. Phys. F 8 L179 (1978)
  105. Belashchenko D K, Ginzburg A S Zh. Eksp. Teor. Fiz. 115 50 (1999) [JETP 88 28 (1999)]
  106. Lancon F et al. J. Phys. F 15 1485 (1985)
  107. Bennett C H et al. Philos. Mag. A 40 485 (1979)
  108. Finney J L, Wallace J J. Non-Cryst. Solids 43 165 (1981)
  109. Egami T, Maeda K, Vitek V Philos. Mag. A 41 883 (1980)
  110. Nasu T et al. "A positron annihilation study of the evolution of amorphization in Nb3Sn by mechanical attrition", in 7th Int. Conf. on the Structure of Non-Crystalline Materials (NCM7). September 15-19, 1997. Chia Laguna, Sardenga, Italy. Abstracts. p. 61
  111. Nemoshkalenko V V et al. Amorfnye Metallicheskie Splavy (Amorphous Metallic Alloys, Kiev: Naukova Dumka, 1987)
  112. Itoh F et al. Nucl. Instrum. Methods Phys. Res. 199 (1/2) 323 (1982)
  113. Vehanen A et al. Phys. Rev. B 29 2371 (1984)
  114. Kristiak J, in 9th Int. Conf. on Rapidly Quenched and Metastable Materials (RQ9). Bratislava, Aug. 25-30, 1996. Book of Abstracts, p. 9
  115. Limoge Y Mater. Sci. Forum. 15/18 517 (1987)
  116. Akhtar D, Misra R D K Scr. Metall. 19 1195 (1985)
  117. De Hey P, Sietsma J, van den Beukel A, in 9th Int. Conf. on Rapidly Quenched and Metastable Materials (RQ9). Bratislava, Aug. 25-30, 1996. Book of Abstracts, p. 180
  118. Kajcsos Zs et al., in Proc. 6th Int. Conf. Positron Annihilation, Arlington, 1982 p. 601
  119. Gleser A M, Betehtin V I, in 9th Int. Conf. on Rapidly Quenched and Metastable Materials (RQ9). Bratislava, Aug. 25-30, 1996. Book of Abstracts, p. 176
  120. Ahmadzadeh M, Cantor B J. Non-Cryst. Solids 43 189 (1981)
  121. Finney J L Proc. R. Soc. London Ser. A 319 479 (1970)
  122. Belashchenko D K Rasplavy 1 (3) 45 (1987)
  123. Fam Khak Huang, Belashchenko D K Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (5) 91 (1987)
  124. Belashchenko D K, Golubenkova S V Izv. Akad. Nauk SSSR Metally (2) 177 (1991)
  125. Belashchenko D K, Gritsenko A B Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (7) 102 (1985)
  126. Fam Khak Huang et al. Izv. Akad Nauk SSSR Metally (2) 118 (1998)
  127. Van Ee L D, Thijsse B J, Sietsma J, in 7th Int. Conf.on the Structure of Non-Crystalline Materials (NCM7). September 15-19, 1997. Chia Laguna, Sardenga, Italy. Abstracts, p. 14
  128. Fam Khak Huang, Belashchenko D K, Nguen Suan Tu Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (7) 172 (1987)
  129. Schuehmacher J J, Guiraldenq P Acta Metall. 31 2043 (1983)
  130. Valenta P et al. Phys. Status Solidi B 106 (1) 129 (1981)
  131. Frost H J Acta Metall. 30 889 (1982)
  132. Medvedev N N, Naberukhin Yu I Zh. Struct. Khim. 28 (3) 117 (1987)
  133. Naberukhin Yu I, Voloshin V P, Medvedev N N Zh. Fiz. Khim. 66 155 (1992) [Russ. J. Phys. Chem. 66 81 (1992)]
  134. Medvedev N N Dokl. Ross. Akad. Nauk 337 767 (1994)
  135. Belashchenko D K, Fam Khak Huang Izv. Vyssh. Uchebn. Zaved. Chernaya Metallurgiya (5) 165 (1981)
  136. Delaye J M, Limoge Y Diffus. Defect Data A 95-98 (Pt. 2) 1181 (1993)
  137. Delaye J M, Limoge Y J. Phys. I (Paris) 3 2063 (1993)
  138. Delaye J M, Limoge Y J. Phys. I (Paris) 3 2079 (1993)
  139. Frank W, Gustin W, Horz M, in Liquid and Amorphous Metals. 9th Int. Conf. Chicago, USA, Aug. 27-Sept. 1 1995. Theses, p. 75
  140. Chan S L, Elliott S R Phys. Rev. B. 43 4423 (1991)
  141. Mitra S K Philos. Mag. B 45 529 (1982)
  142. Taraskin S N, Elliott S R, Klinger M I J. Non-Cryst. Solids 192-193 263 (1995)
  143. Lee J H, Elliott S R J. Non-Cryst. Solids 192-193 133 (1995)
  144. Hirao K, Soga N J. Non-Cryst. Solids 84 61 (1986)
  145. Soules T J. Non-Cryst. Solids 49 29 (1982)
  146. Balasubramanian S, Rao K J J. Chem. Phys. 97 8835 (1993)
  147. Huang Chengde, Cormack A N "Phys. Non-Cryst. Solids", in 7th Int. Conf., Cambridge, Aug. 4-9, 1991. London; Washington (DC), 1992, p. 31
  148. Yap A, Elliott S R, in 6th Int. Conf. on the Structure of Non-Crystalline Materials (NCM6). Praha, Aug. 29-Sept. 2 1994. Abstracts, p. 241
  149. Belashchenko D K, Sapozhnikova S Yu Zh. Fiz. Khim. 71 1036 (1997) [Russ. J. Phys. Chem. 71 920 (1997)]
  150. Belashchenko D K, Sapozhnikova S Yu Neorg. Mater. 33 822 (1997) [Inorganic Mater. 33 692 (1997)]

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