Crossover model for the work of critical cluster formation in nucleation theory

Journal of Chemical Physics

Volumn 121, Issue 18, 2004, Pages 8916-8923

  Kalikmanov, V I ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FRACTALS; KINETIC THEORY; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; PHASE TRANSITIONS; QUENCHING; RELAXATION PROCESSES; SUPERSATURATION; SURFACE TENSION; THERMODYNAMICS;

CLASSICAL NUCLEATION THEORY (CNT); CLUSTER FORMATION; LANGER'S MODEL; METASTABLE STATE;

NUCLEATION;

EID: 9744262488     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1806404     Document Type: Article

References (36)

1. R. McGraw and A. Laaksonen, J. Chem. Phys. 106, 5284 (1997); V. Talanquer, ibid. 106, 9957 (1997); K. Koga and X. C. Zeng, ibid. 110, 3466 (1999); I. Kusaka, ibid. 118, 5510 (2003); 119, 1808 (2003).
2. R. McGraw and A. Laaksonen, J. Chem. Phys. 106, 5284 (1997); V. Talanquer, ibid. 106, 9957 (1997); K. Koga and X. C. Zeng, ibid. 110, 3466 (1999); I. Kusaka, ibid. 118, 5510 (2003); 119, 1808 (2003).
3. R. McGraw and A. Laaksonen, J. Chem. Phys. 106, 5284 (1997); V. Talanquer, ibid. 106, 9957 (1997); K. Koga and X. C. Zeng, ibid. 110, 3466 (1999); I. Kusaka, ibid. 118, 5510 (2003); 119, 1808 (2003).
4. R. McGraw and A. Laaksonen, J. Chem. Phys. 106, 5284 (1997); V. Talanquer, ibid. 106, 9957 (1997); K. Koga and X. C. Zeng, ibid. 110, 3466 (1999); I. Kusaka, ibid. 118, 5510 (2003); 119, 1808 (2003).
5. R. McGraw and A. Laaksonen, J. Chem. Phys. 106, 5284 (1997); V. Talanquer, ibid. 106, 9957 (1997); K. Koga and X. C. Zeng, ibid. 110, 3466 (1999); I. Kusaka, ibid. 118, 5510 (2003); 119, 1808 (2003).
6. D. Kashchiev, J. Chem. Phys. 118, 1837 (2003).
7. J. W. Schmelzer and V. G. Baidakov, J. Chem. Phys. 119, 10759 (2003).
8. H. Gould and W. Klein, Physica D 66, 61 (1993).
9. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28, 258 (1958); 31, 688 (1959).
10. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28, 258 (1958); 31, 688 (1959).
11. J. S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967); 54, 258 (1969).
12. J. S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967); 54, 258 (1969).
13. W. Klein, Phys. Rev. Lett. 47, 1569 (1981).
14. C. Unger and W. Klein, Phys. Rev. B 29, 2698 (1984).
15. A. Z. Patashinskii and B. I. Shumilo, Sov. Phys. JETP 50, 712 (1979); Sov. Phys. Solid State 22, 655 (1980).
16. A. Z. Patashinskii and B. I. Shumilo, Sov. Phys. JETP 50, 712 (1979); Sov. Phys. Solid State 22, 655 (1980).
17. J. W. Gibbs, The Scientific Papers of J. W. Gibbs (Ox Bow, Woodbridge, NJ, 1993).
18. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Clarendon, Oxford, 1982).
19. D. W. Oxtoby, J. Phys.: Condens. Matter 4, 7627 (1992).
20. V. I. Kalikmanov, Statistical Physics of Fluids. Basic Concepts and Applications (Springer, Berlin, 2001).
21. D. W. Oxtoby and D. Kashchiev, J. Chem. Phys. 100, 7665 (1994); D. Kashchiev, ibid. 76, 5098 (1982).
22. D. W. Oxtoby and D. Kashchiev, J. Chem. Phys. 100, 7665 (1994); D. Kashchiev, ibid. 76, 5098 (1982).
23. Recently Bowles et al. (Ref. 16) proved the generalized version of the nucleation theorem which extends its applicability to all equilibrium systems containing local density inhomogeneities.
24. R. K. Bowles, D. Reguera, Y. Djikaev, and H. Reiss, J. Chem. Phys. 115, 1853 (2001).
25. D. W. Oxtoby and R. Evans, J. Chem. Phys. 89, 7521 (1988).
26. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, Oxford, 1969).
27. G. A Korn and T. M. Korn, Mathematical-Handbook (McGraw-Hill, New York, 1968).
28. Yu. B. Rumer and M. S. Rivkin, Thermodynamics, Statistical Physics and Kinetics (Moscow, Nauka, 1977) (in Russian).
29. A. J. Bray, Adv. Phys. 43, 357 (1994).
30. J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman. The Theory of Critical Phenomena (Clarendon, Oxford, 1995).
31. M. Struwe, Variational Methods: Application to Nonlinear Partial Differential Equations. and Hamiltonian Systems (Springer, Berlin, 2000).
32. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
33. S. B. Kiselev, Physica A 269, 252 (1999).
34. X. C. Zeng and D. W. Oxtoby, J. Chem. Phys. 94, 4472 (1991).
35. R. C. Reid, J. M. Prausnitz, and B. E. Poling, The Properties of Gases and Liquids, 4th ed., (McGraw-Hill, New York. 1987).
36. C. C. M. Luijten, P. Peelers, and M. E. H. van Dongen, J. Chem. Phys. 111, 8535 (1999).