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Year 2017, Volume 15, Issue 4 |
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Issues/2017/Vol. 15 /issue 4 |
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Key words: crystal, liquid, cluster, molecular dynamics, percolation.
https://doi.org/10.15407/nnn.15.04.0629
REFERENCES
1. F. A. Lindemann, Z. Phys., 14: 609 (1910).
2. M. Born, J. Chem. Phys., 7: 591 (1939).
https://doi.org/10.1063/1.1750497
3. J. W. M. Frenken and J. F. Van der Veen, Phys. Rev. Lett., 54: 134 (1985).
https://doi.org/10.1103/PhysRevLett.54.134
4. R. Kofman, P. Cheyssac, Y. Lereach, and A. Stella, Eur. Phys. J. D, 9: 441 (1999).
https://doi.org/10.1007/s100530050475
5. K. Dick, T. Dhanasekaran, Z. Xhang, and D. Meisel, J. Am. Chem. Soc., 124: 2312 (2002).
https://doi.org/10.1021/ja017281a
6. Y. Lereah, R. Kofman, J. M. Penisson et al., Philosophical Magazine B, 81: 1801 (2001).
https://doi.org/10.1080/13642810110080005
7. B. M. Smirnov, Uspekhi Fizicheskikh Nauk, 164: 1165 (1994) (in Russian).
https://doi.org/10.3367/UFNr.0164.199411b.1165
8. V. M. Samsonov, S. S. Kharechkin, S. L. Gafner et al., Cristalografiya, 54: 530 (2009) (in Russian).
https://doi.org/10.1134/S1063774509030250
9. S. L. Gafner, L. V. Redel, Zh. V. Golovenko et al., Pisma v ZhETF, 89: 425 (2009) (in Russian).
10. Yue Qi, T. Cagin, W. L. Johnson, and W. A. Goddard, J. Chem. Phys., 114: 385 (2001).
11. S. L. Gafner, J. J. Gafner, I. S. Zamulin, and L. V. Redel, Journal of Computational and Theoretical Nanoscience, 9: 993 (2012).
https://doi.org/10.1166/jctn.2012.2131
12. A. I. Gusev and A. A. Rempel, Nanokristallicheskie Materialy [Nanocrystalline Materials] (Moscow: Fizmatlit: 2001) (in Russian).
13. M. S. Daw and M. I. Baskes, Phys. Rev. Lett., 50: 1285 (1983).
https://doi.org/10.1103/PhysRevLett.50.1285
14. A. F. Voter and S. P. Chen, Mat. Res. Soc. Symp. Proc., 82: 175 (1987).
15. H. C. Andersen, J. Chem. Phys., 72: 2384 (1980).
https://doi.org/10.1063/1.439486
16. L. Verlet, Phys. Rev., 159: 98 (1967).
https://doi.org/10.1103/PhysRev.159.98
17. A. L. Efros, Fizika i Geometriya Besporyadka [Physics and Geometry of Disorder] (Moscow: Nauka: 1982) (in Russian).
18. O. B. Melnyk, V. Ya. Biloshapka, and V. K. Soolshenko, Nanosistemi, Nanomateriali, Nanotehnologii, 13, Iss. 3: 503 (2015) (in Russian).
A. B. Melnick and V. K. Soolzhenko
«Investigation of the Aluminium Melting Processes»
629–636 (2017)
PACS numbers: 02.70.Ns, 61.20.Ja, 61.43.Bn, 61.46.Bc, 64.60.ah, 64.70.D-, 64.70.Nd
Melting in nanoclusters and a bulk of aluminium is modelled by means of molecular dynamics method. The melting temperature is revealed nonlinearly dependent on the aluminium-cluster size. The melting transformation is described as a percolation transition, which is finished when the fraction of solid-state atoms passes down the percolation threshold.
Key words: crystal, liquid, cluster, molecular dynamics, percolation.
https://doi.org/10.15407/nnn.15.04.0629
REFERENCES
1. F. A. Lindemann, Z. Phys., 14: 609 (1910).
2. M. Born, J. Chem. Phys., 7: 591 (1939).
https://doi.org/10.1063/1.1750497
3. J. W. M. Frenken and J. F. Van der Veen, Phys. Rev. Lett., 54: 134 (1985).
https://doi.org/10.1103/PhysRevLett.54.134
4. R. Kofman, P. Cheyssac, Y. Lereach, and A. Stella, Eur. Phys. J. D, 9: 441 (1999).
https://doi.org/10.1007/s100530050475
5. K. Dick, T. Dhanasekaran, Z. Xhang, and D. Meisel, J. Am. Chem. Soc., 124: 2312 (2002).
https://doi.org/10.1021/ja017281a
6. Y. Lereah, R. Kofman, J. M. Penisson et al., Philosophical Magazine B, 81: 1801 (2001).
https://doi.org/10.1080/13642810110080005
7. B. M. Smirnov, Uspekhi Fizicheskikh Nauk, 164: 1165 (1994) (in Russian).
https://doi.org/10.3367/UFNr.0164.199411b.1165
8. V. M. Samsonov, S. S. Kharechkin, S. L. Gafner et al., Cristalografiya, 54: 530 (2009) (in Russian).
https://doi.org/10.1134/S1063774509030250
9. S. L. Gafner, L. V. Redel, Zh. V. Golovenko et al., Pisma v ZhETF, 89: 425 (2009) (in Russian).
10. Yue Qi, T. Cagin, W. L. Johnson, and W. A. Goddard, J. Chem. Phys., 114: 385 (2001).
11. S. L. Gafner, J. J. Gafner, I. S. Zamulin, and L. V. Redel, Journal of Computational and Theoretical Nanoscience, 9: 993 (2012).
https://doi.org/10.1166/jctn.2012.2131
12. A. I. Gusev and A. A. Rempel, Nanokristallicheskie Materialy [Nanocrystalline Materials] (Moscow: Fizmatlit: 2001) (in Russian).
13. M. S. Daw and M. I. Baskes, Phys. Rev. Lett., 50: 1285 (1983).
https://doi.org/10.1103/PhysRevLett.50.1285
14. A. F. Voter and S. P. Chen, Mat. Res. Soc. Symp. Proc., 82: 175 (1987).
15. H. C. Andersen, J. Chem. Phys., 72: 2384 (1980).
https://doi.org/10.1063/1.439486
16. L. Verlet, Phys. Rev., 159: 98 (1967).
https://doi.org/10.1103/PhysRev.159.98
17. A. L. Efros, Fizika i Geometriya Besporyadka [Physics and Geometry of Disorder] (Moscow: Nauka: 1982) (in Russian).
18. O. B. Melnyk, V. Ya. Biloshapka, and V. K. Soolshenko, Nanosistemi, Nanomateriali, Nanotehnologii, 13, Iss. 3: 503 (2015) (in Russian).
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