Nucleation theory beyond the deterministic limit. I. the nucleation stage

Journal of Chemical Physics

Volumn 132, Issue 11, 2010, Pages

  Dubrovskii, V G ^a,b   Nazarenko, M V ^a  

^a ST PETERSBURG ACADEMIC UNIVERSITY   (Russian Federation)

^b IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DOUBLE EXPONENTIAL DISTRIBUTION; GAUSSIANS; GREEN FUNCTION; KINETIC EQUATIONS; NON-LINEAR BOUNDARY CONDITIONS; NUCLEATION STAGES; NUCLEATION THEORY; SECOND DERIVATIVES; SIZE SPECTRUM; SPECTRUM BROADENING; SUPER-CRITICAL;

INTEGRAL EQUATIONS;

NUCLEATION;

ANIMAL; ANIMAL EMBRYO; ARTICLE; CHEMICAL MODEL; COMPUTER SIMULATION; HUMAN; KINETICS; PARTICLE SIZE; PHYSIOLOGY; PRENATAL DEVELOPMENT; THERMODYNAMICS;

ANIMALS; COMPUTER SIMULATION; EMBRYO, MAMMALIAN; HUMANS; KINETICS; MODELS, CHEMICAL; PARTICLE SIZE; THERMODYNAMICS;

EID: 77949738105     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3354118     Document Type: Article

References (42)

1. N. N. Tunitskii, Zh. Fiz. Khim. 0044-4537 15, 1061 (1941).
2. J. Zeldovich, Sov. Phys. JETP 0038-5646 (Eng. Transl.) 12, 525 (1942).
3. O. M. Todes, Zh. Fiz. Khim. 0044-4537 20, 629 (1946).
4. F. F. Abraham, Homogeneous Nucleation Theory (Academic, New York, 1974).
5. D. Kashchiev, Nucleation: Basic Theory with Applications (Butterworth, Oxford, 2000).
6. V. A. Shneidman, J. Chem. Phys. 0021-9606 115, 8141 (2001). 10.1063/1.1409366
7. V. A. Shneidman, Phys. Rev. Lett. 0031-9007 101, 205702 (2008). 10.1103/PhysRevLett.101.205702
8. S. A. Kukushkin and A. V. Osipov, Prog. Surf. Sci. 0079-6816 51, 1 (1996). 10.1016/0079-6816(96)82931-5 (Pubitemid 126404043)
9. S. A. Kukushkin and A. V. Osipov, J. Chem. Phys. 0021-9606 107, 3247 (1997). 10.1063/1.474675
10. F. M. Kuni, A. K. Shchekin, and A. P. Grinin, Phys. Usp. 1063-7869 171, 345 (2001). 10.3367/UFNr.0171.200104a.0345
11. F. M. Kuni, Colloid J. 1061-933X 46, 791 (1984).
12. V. V. Slezov, Ya. J. Tkatch, and J. Schmelzer, J. Mater. Sci. 0022-2461 32, 3739 (1997). 10.1023/A:1018611320391
13. V. V. Slezov and J. Schmelzer, Phys. Rev. E 1063-651X 65, 031506 (2002). 10.1103/PhysRevE.65.031506
14. D. B. Dadyburjor and E. Ruckenstein, J. Cryst. Growth 0022-0248 40, 279 (1977). 10.1016/0022-0248(77)90017-3
15. T. Lummen and T. Kraska, J. Aerosol Sci. 0021-8502 36, 1409 (2005). 10.1016/j.jaerosci.2005.03.011 (Pubitemid 41653421)
16. V. Holten and M. E. H. van Dongen, J. Chem. Phys. 0021-9606 130, 014102 (2009). 10.1063/1.3054634
17. I. M. Lifshitz and V. V. Slezov, J. Phys. Chem. Solids 0022-3697 19, 35 (1961). 10.1016/0022-3697(61)90054-3
18. J. A. Marqusee and J. Ross, J. Chem. Phys. 0021-9606 79, 373 (1983). 10.1063/1.445532
19. V. K. Shen and P. G. Debenedetti, J. Chem. Phys. 0021-9606 118, 768 (2003). 10.1063/1.1526836
20. D. T. Wu, J. Chem. Phys. 0021-9606 97, 1922 (1992). 10.1063/1.463129
21. V. G. Dubrovskii, J. Chem. Phys. 0021-9606 131, 164514 (2009). 10.1063/1.3254384
22. D. Kashchiev, J. Chem. Phys. 0021-9606 129, 164701 (2008). 10.1063/1.2996505
23. V. G. Dubrovskii, J. Phys.: Condens. Matter 0953-8984 16, 6929 (2004). 10.1088/0953-8984/16/39/025
24. J. Wölk, R. Strey, C. H. Heath, and B. E. Wyslouzil, J. Chem. Phys. 0021-9606 117, 4954 (2002). 10.1063/1.1498465
25. P. G. Debenedetti, Metastable Liquids: Concepts and Principles (Princeton University Press, Princeton, 1996).
26. V. P. Skripov, J. Non-Equil. Thermodyn. 0304-0204 17, 193 (1992). 10.1515/jnet.1992.17.3.193
27. U. Gasser, E. R. Weeks, A. Schonfield, P. N. Pusey, and D. A. Weitz, Science 0036-8075 292, 258 (2001). 10.1126/science.1058457 (Pubitemid 32295378)
28. F. M. Kuni, A. K. Shchekin, A. I. Rusanov, and A. P. Grinin, Langmuir 0743-7463 22, 1534 (2006). 10.1021/la052136m (Pubitemid 43305982)
29. D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, New York, 1999).
30. A. V. Osipov, S. A. Kukushkin, F. Schmitt, and P. Hess, Phys. Rev. B 0163-1829 64, 205421 (2001). 10.1103/PhysRevB.64.205421
31. V. G. Dubrovskii, G. E. Cirlin, and V. M. Ustinov, Phys. Rev. B 0163-1829 68, 075409 (2003). 10.1103/PhysRevB.68.075409
32. V. G. Dubrovskii, G. E. Cirlin, Yu. G. Musikhin, Yu. B. Samsonenko, A. A. Tonkikh, N. K. Polyakov, V. A. Egorov, A. F. Tsatsul'nikov, N. A. Krizhanovskaya, V. M. Ustinov, and P. Werner, J. Cryst. Growth 0022-0248 267, 47 (2004). 10.1016/j.jcrysgro.2004.03.055
33. V. G. Dubrovskii, N. V. Sibirev, J. C. Harmand, and F. Glas, Phys. Rev. B 0163-1829 78, 235301 (2008). 10.1103/PhysRevB.78.235301
34. K. Binder, Phys. Rev. B 0163-1829 15, 4425 (1977). 10.1103/PhysRevB.15. 4425
35. Z. Kozisek and P. Demo, J. Aerosol Sci. 0021-8502 40, 44 (2009). 10.1016/j.jaerosci.2008.09.006
36. F. M. Kuni and A. P. Grinin, Colloid J. 1061-933X 46, 460 (1984).
37. V. G. Dubrovskii, Phys. Status Solidi B 0370-1972 171, 345 (1992). 10.1002/pssb.2221710206
38. V. G. Dubrovskii and G. E. Cirlin, Semiconductors 1063-7826 39, 1267 (2005). 10.1134/1.2128448 (Pubitemid 41577916)
39. I. L. Maksimov, M. Sanada, and K. Nishioka, J. Chem. Phys. 0021-9606 113, 3323 (2000). 10.1063/1.1286095
40. A. N. Kolmogorov, Cl. Sci. Math. Nat. 3, 355 (1937).
41. W. A. Johnson and R. F. Mehl, Trans. Am. Inst. Min., Metall. Pet. Eng. 0096-4778 135, 416 (1939).
42. M. Avrami, J. Chem. Phys. 0021-9606 7, 1103 (1939) 10.1063/1.1750380; M. Avrami, J. Chem. Phys. 0021-9606 8, 212 (1940). 10.1063/1.1750631