Generalized Gibbs' approach to the thermodynamics of heterogeneous systems and the kinetics of first-order phase transitions

Journal of Engineering Thermophysics

Volumn 16, Issue 3, 2007, Pages 119-129

  Schmelzer, Juern W P ^a   Abyzov, A S ^b  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b KHARKOV INSTITUTE OF PHYSICS AND TECHNOLOGY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548665737     PISSN: 18102328     EISSN: 19905432     Source Type: Journal    
DOI: 10.1134/S1810232807030034     Document Type: Article

References (38)

1. Volmer, M., Kinetik der Phasenbildung, Dresden, Leipzig: Th. Steinkopff, 1939.
2. Hirth, J.P. and Pound, G.M., Condensation and Evaporation, London: Pergamon, 1963.
3. Skripov, V.P., Metastable Liquids, New York: Wiley, 1974.
4. Nielsen, A.E., Kinetics of Precipitation, Oxford: Pergamon, 1964.
5. Christian, J.W., The Theory of Transformations in Metals and Alloys, Oxford: Oxford University Press, 1975.
6. Gutzow, I. and Schmelzer, J., The Vitreous State: Thermodynamics, Structure, Rheology, and Crystallization, Berlin: Springer, 1995.
7. Stanley, H.A., Introduction to Phase Transitions and Critical Phenomena, Oxford: Clarendon, 1971.
8. Schmelzer, J.W.P., Phases, Phase Transitions, and Nucleation, in Encyclopedia of Surface and Colloid Science, Hubbard, A., Ed., New York: Marcel Dekker, 2002, pp. 4017-4029.
9. Wu, D.T., Nucleation Theory, in Solid State Physics: Advances in Research and Applications, Ehrenreich, H. and Spaepen, F., Eds., New York: Academic Press, 1997, no. 50, pp. 37-91.
10. Skripov, V.P. and Faizullin, M.Z., Crystal-Liquid-Gas Phase Transitions and Thermodynamic Similarity, Berlin-Weinheim: Wiley-VCH, 2006.
11. Gibbs, J.W., The Collected Works, vol. 1, Thermodynamics, New York: Longmans & Green, 1928.
12. Zanotto, E.D. and Fokin, V.M., Recent Studies of Internal and Surface Nucleation in Silicate Glasses, Phil. Trans. Royal Society London, 2003, A361, pp. 591-613.
13. Fokin, V.M., Yuritsyn, N.S., and Zanotto, E.D., Nucleation and Crystallization Kinetics in Silicate Glasses: Theory and Experiment, in Nucleation Theory and Applications, Schmelzer, J.W.P., Ed., Berlin-Weinheim: Wiley-VCH, 2005, pp. 74-125.
14. van der Waals, J.D. and Kohnstamm, Ph., Lehrbuch der Thermodynamik, Leipzig und Amsterdam: Johann-Ambrosius-Barth Verlag, 1908.
15. Cahn, J.W. and Hilliard, J.E., Free Energy of a Non-uniform System. I. Interfacial Free Energy, J. Chem. Phys., 1958, no. 28, pp. 258-267.
16. Cahn, J.W. and Hilliard, J.E., Free Energy of a Non-uniform System. III. Nucleation in a Two-component Incompressible Fluid, J. Chem. Phys., 1959, no. 31, pp. 688-699.
17. Oxtoby, D.W., Nucleation at First-order Phase Transitions, Accounts Chem. Res., 1998, no. 31, pp. 91-97.
18. Skripov, V.P. and Skripov, A.V., Spinodal Decomposition, Uspekhi Fiz. Nauk, 1979, vol. 128, pp. 193-213.
19. Gunton, J.D., San Miguel, M., and Sahni, P.S., The Dynamics of First-order Phase Transitions, in Phase Transitions and Critical Phenomena, Domb, C. and Lebowitz, J.L., Eds., London-New York: Academic Press, 1983, vol. 8, pp. 85-187.
20. Binder, K., Theory of First-Order Phase Transitions, Rep. Progr. Phys., 1987, no. 50, pp. 783-860.
21. Shah, M., Galkin, O., and Vekilov, P., Smooth Transition from Metastability to Instability in Phase Separating Protein Solutions, J. Chem. Phys., 2004, no. 121, pp. 7505-7512.
22. Schmelzer, J.W.P., A New Approach to Nucleation Theory and its Application to Phase Formation Processes in Glass-forming Melts, Phys. Chem.Glasses, 2004, no. 45, pp. 116-120.
23. Schmelzer, J.W.P., Baidakov, V.G., and Boltachev, G.Sh., Kinetics of Boiling in Binary Liquid-gas Solutions: Comparison of Different Approaches, J. Chem. Phys., 2003, no. 119, pp. 6166-6183.
24. Schmelzer, J.W.P., Boltachev, G.Sh., and Baidakov, V.G., Is Gibbs Theory of Heterogeneous Systems Really Perfect? in Nucleation Theory and Applications, Schmelzer, J.W.P., Ed., Berlin-Weinheim: Wiley-VCH, 2005, pp. 418-446.
25. Schmelzer, J.W.P., Boltachev, G.Sh., and Baidakov, V.G., Classical and Generalized Gibbs Approaches and the Work of Critical Cluster Formation in Nucleation Theory, J. Chem. Phys., 2006, no. 124, pp. 184503-194503.
26. Schmelzer, J.W.P., Gokhman, A.R., and Fokin, V.M., Dynamics of First-order Phase Transitions in Multicomponent Systems: A New Theoretical Approach, J. Colloid Interface Sci., 2004, no. 272, pp. 109-133.
27. Schmelzer, J.W.P., Abyzov, A.S., and Möller, J., Nucleation versus Spinodal Decomposition in Phase Formation Processes in Multicomponent Solutions, J. Chem. Phys., 2004, no. 121, pp. 6900-6917.
28. Abyzov, A.S. and Schmelzer, J.W.P., Nucleation versus Spinodal Decomposition in Confined Binary Solutions (in preparation).
29. Rukeyser, M., Willard Gibbs, New York: Doubleday, Doran and Company, 1942.
30. Debenedetti, P.G. and Reiss, H., Reversible Work of Formation of an Embryo of a New Phase within a Uniform Mother Phase, J. Chem. Phys., 1998, no. 108, pp. 5498-5505.
31. Reguera, D. and Reiss, H., Nucleation in Confined Ideal Binary Mixtures: The Renninger-Wilemski Problem Revisited, J. Chem. Phys., 2003, no. 119, pp. 1533-1546.
32. Baidakov, V.G., Boltachev, G.Sh., and Schmelzer, J.W.P., Comparison of Different Approaches to the Determination of the Work of Critical Cluster Formation, J. Colloid Interface Science, 2000, no. 231, pp. 312-321.
33. Schmelzer, J.W.P. and Baidakov, V.G., Kinetics of Condensation and Boiling: Comparison of Different Approaches, J. Phys. Chem., 2001, no. 105, pp. 11595-11604.
34. Kelton, K.F., Crystal Nucleation in Liquids and Glasses, Solid State Physics, 1991, no. 45, pp. 75-177.
35. Tatchev, D., Hoell, A., Kranold, R., and Armyanov, S., Size Distribution and Composition of Magnetic Precipitates in Amorphous Ni-P Alloys, Physica, 2005, no. B369, pp. 8-19.
36. Granasy, L. and James, P., Nucleation and Growth in Cluster Dynamics: A Quantitative Test of the Classical Kinetic Approach, J. Chem. Phys., 2000, no. 113, pp. 9810-9821.
37. Lewis, G.N. and Randall, M., Thermodynamics and the Free Energy of Chemical Substances, New York: McGraw-Hill, 1923.
38. Skripov, V.P. and Koverda, V.P. Spontannaya kristallizatsiya nedookhlazhdennykh zhidkostei (Spontaneous Crystallization of Undercooled Liquids), Moscow: Nauka, 1984.