Home Mesoscopic nonequilibrium kinetics of nucleation processes
Article
Licensed
Unlicensed Requires Authentication

Mesoscopic nonequilibrium kinetics of nucleation processes

  • David Reguera
Published/Copyright: June 1, 2005
Become an author with De Gruyter Brill
Journal of Non-Equilibrium Thermodynamics
From the journal Volume 29 Issue 4

Abstract

This article reviews our recent efforts to provide a rigorous description of the kinetics of nucleation processes from a mesoscopic and nonequilibrium perspective. Its usefulness to analyze different important aspects of the process, such as the validity of the Nucleation Theorem, the proper incorporation of translational and rotational degrees of freedom, and the influence of inhomogeneities and gradients in the process, is discussed. The theory sketched here provides a unified framework in which nucleation can be realistically described.

:

Corresponding author ()

References

1 Oxtoby, D.W., Homogeneous nucleation: theory and experiment, J. Phys. Condens. Matter, 4 (1992), 7627.10.1088/0953-8984/4/38/001Search in Google Scholar

2 Laaksonen, A., Talanquer, V., Oxtoby, D.W., Nucleation: measurements, theory, and atmospheric applications, Annu. Rev. Phys. Chem., 46 (1995), 489.10.1146/annurev.pc.46.100195.002421Search in Google Scholar

3 Zettlemoyer, A.C., Nucleation, Marcel Dekker, New York, 1969.Search in Google Scholar

4 Debenedetti, P.G., Metastable Liquids: Concepts and Principles, Chap. 3, Princeton University Press, 1996.10.1515/9780691213941Search in Google Scholar

5 Kelton, K.F., Crystal nucleation in liquids and glasses, Solid State Phys., 45 (1991), 75.10.1016/S0081-1947(08)60144-7Search in Google Scholar

6 Volmer, M., Weber, A., Nucleus formation in supersaturated systems, Z. Phys. Chem., 119 (1926), 277.10.1515/zpch-1926-11927Search in Google Scholar

7 Farkas, L., Velocity of nucleation in supersaturated vapors, Z. Phys. Chem., 125 (1927), 236.Search in Google Scholar

8 Becker, R., Döring, W., Kinetic theory for nucleation of supersaturated structures, Ann. Phys., 24 (1935), 719.10.1002/andp.19354160806Search in Google Scholar

9 Frenkel, J., Kinetic Theory of Liquids, Dover, New York, 1955.Search in Google Scholar

10 Zeldovich, Y.I., Zh. Eksp. Teor. Fiz, 12 (1942), 525.Search in Google Scholar

11 Reguera, D., Mesoscopic Nonequilibrium Kinetics of Nucleation Process, Ph.D. Thesis, University of Barcelona, 2001.Search in Google Scholar

12 Reguera, D., Rubí, J.M., Pérez-Madrid, A., Fokker-Planck equations for nucleation processes revisited, Physica A, 259 (1998), 10.10.1016/S0378-4371(98)00259-3Search in Google Scholar

13 de Groot, S.R., Mazur, P., Non-Equilibrium Thermodynamics, Dover, New York, 1984.Search in Google Scholar

14 Pérez-Madrid, A., Rubí, J.M., Mazur, P., Brownian motion in the presence of a temperature gradient, Physica A, 212 (1994), 231.10.1016/0378-4371(94)90329-8Search in Google Scholar

15 Rubí, J.M., Mazur, P., Simultaneous Brownian motion of N particles in a temperature gradient, Physica A, 250 (1998), 253.10.1016/S0378-4371(97)00463-9Search in Google Scholar

16 Mazur, P., Fluctuations and non-equilibrium thermodynamics, Physica A, 261 (1998), 451.10.1016/S0378-4371(98)00353-7Search in Google Scholar

17 Rubí, J.M., Pérez-Madrid, A., Inertial effects in non-equilibrium thermodynamics, Physica A, 264 (1999), 492.10.1016/S0378-4371(98)00476-2Search in Google Scholar

18 Mazur, P., Mesoscopic nonequilibrium thermodynamics; irreversible processes and fluctuations, Physica A, 274 (1999), 491.10.1016/S0378-4371(99)00362-3Search in Google Scholar

19 Rubí, J.M., Mazur, P., Nonequilibrium thermodynamics and hydrodynamic fluctuations, Physica A, 276 (2000), 477.10.1016/S0378-4371(99)00452-5Search in Google Scholar

20 Santamaría-Holek, I., Reguera, D., Rubí, J.M., Diffusion in stationary flow from mesoscopic nonequilibrium thermodynamics, Phys. Rev. E, 63 (2001), 051106.10.1103/PhysRevE.63.051106Search in Google Scholar

21 Reguera, D., Rubí, J.M., Kinetic equations for diffusion in the presence of entropic barriers, Phys. Rev. E, 64 (2001), 061106.10.1103/PhysRevE.64.061106Search in Google Scholar

22 Prigogine, I., Mazur, P., Sur l'extension de la thermodynamique aux phénomènes irreversibles liés aux degrés de liberté internes, Physica, XIX (1953), 241.10.1016/S0031-8914(53)80026-1Search in Google Scholar

23 Landau, L.D., Lifshitz, E.M., Statistical Physics Parts 1 and 2, Pergamon Press, New York, 1980.10.1016/B978-0-08-057046-4.50008-7Search in Google Scholar

24 Reguera, D., Rubí, J.M., Pérez-Madrid, A., Kramers-type picture for crystal nucleation, J. Chem. Phys., 109 (1998), 5987.10.1063/1.477224Search in Google Scholar

25 Bowles, R.K., Reguera, D., Djikaev, Y., Reiss, H., A theorem for inhomogeneous systems: The generalization of the nucleation theorem, J. Chem. Phys., 115 (2001), 1853.10.1063/1.1382818Search in Google Scholar

26 Anisimov, M.P., Cherevko, A.G., Izv. Akad. Nauk USSR (Siberian Branch) (ser. Khim Nauk) 2 (1982), 15.Search in Google Scholar

27 Kashchiev, D., On the relation between nucleation work, nucleus size, and nucleation rate, J. Chem. Phys., 76 (1982), 5098.10.1063/1.442808Search in Google Scholar

28 Hill, T.L., Thermodynamics of Small Systems: Parts I and II, W. A. Benjamin Inc., New York, 1963 and 1964.Search in Google Scholar

29 Reiss, H., Methods of Thermodynamics, Dover, New York, 1965.Search in Google Scholar

30 Lothe, J., Pound, G.M., Reconsiderations on nucleation theory, J. Chem. Phys., 36 (1962), 2080.10.1063/1.1732832Search in Google Scholar

31 Reiss, H., Kegel, W.K., Katz, J.L., Resolution of the problems of replacement free energy, 1/S, and internal consistency in nucleation theory by consideration of the length scale for mixing entropy, Phys. Rev. Lett., 78 (1997), 4506.10.1103/PhysRevLett.78.4506Search in Google Scholar

32 Reguera, D., Rubí, J.M., Nonequilibrium translational-rotational effects in nucleation, J. Chem. Phys., 115 (2001), 7100.10.1063/1.1405122Search in Google Scholar

33 Viisanen, Y., Strey, R., Reiss, H., Homogeneous nucleation rates for water, J. Chem. Phys., 99 (1993), 4680; ibid 112 (2000), 8205.10.1063/1.481368Search in Google Scholar

34 Reguera, D., Rubí, J.M., Bonilla, L.L., Mathematical Modelling for Polymer Processing, Chapter 3, Ed. V. Capasso, Springer-Verlag, 2003.Search in Google Scholar

35 Reguera, D., Rubí, J.M., Homogeneous nucleation in inhomogeneous media. II. Nucleation in temperature gradient, J. Chem. Phys., 119 (2003), 9877.10.1063/1.1614776Search in Google Scholar

36 Reguera, D., Rubí, J.M., Homogeneous nucleation in inhomogeneous media. II. Nucleation in a shear flow, J. Chem. Phys., 119 (2003), 9888.10.1063/1.1614777Search in Google Scholar

37 Rudek, M.M., Katz, J.L., Vidensky, I.V., Zdmmal, V., Smolík, J., Homogeneous nucleation rates of n-pentanol measured in an upward thermal diffusion cloud chamber, J. Chem. Phys., 111 (1999), 3623.10.1063/1.479642Search in Google Scholar

38 Hämeri, K., Kulmala, M., Homogeneous nucleation in a laminar flow diffusion chamber: The effect of temperature and carrier gas on dibutyl phthalate vapor nucleation rate at high supersaturations, J. Chem. Phys., 105 (1996), 7696.10.1063/1.472552Search in Google Scholar

39 Eder, G., Janeschitz-Kriegl, H., Processing of Polymers, Chapter 5, VCH, Germany, 1997.Search in Google Scholar

40 Avrami, M., Kinetics of phase change, J. Chem. Phys., 7 (1939), 1103; ibid 8 (1940), 212; ibid 9 (1941), 177.10.1063/1.1750872Search in Google Scholar

41 Kolmogorov, A.N., Statistical theory of crystallization of metals, Bull. Acad. Sci. USSR Mat. Ser., 1 (1937), 355.Search in Google Scholar

42 Oh, K.J., Gao, G.T., Zeng, X.C., The effect of a uniform electric field on homogeneous vapor-liquid nucleation in a dipolar fluid: I. Stockmayer fluid, J. Chem. Phys., 109 (1998), 8435.10.1063/1.477507Search in Google Scholar

43 Katz, J.L., Wen, F.C., McLaughlin, T., Reusch, R.J., Partch, R., Nucleation on photo-excited molecules, Science, 196 (1977), 1203.10.1126/science.196.4295.1203Search in Google Scholar PubMed

44 Knipping, E.M. et al., Experiments and simulations of ion-enhanced interfacial chemistry on aqueous NaCl aerosols, Science, 288 (2000), 301.10.1126/science.288.5464.301Search in Google Scholar PubMed

Published Online: 2005-06-01
Published in Print: 2004-12-01

© Walter de Gruyter

Downloaded on 26.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/JNETDY.2004.059/html
Scroll to top button