Nucleation of crystals from their liquid phase

Sébastien Balibar; Frédéric Caupin

doi:10.1016/j.crhy.2006.10.024

Nucleation of crystals from their liquid phase
[Nucléation des cristaux à partir de leur phase liquide]

Sébastien Balibar ¹ ; Frédéric Caupin ¹

¹ Laboratoire de Physique Statistique de l'Ecole Normale Supérieure associé aux Universités Paris 6 et Paris 7 et au CNRS, 24, rue Lhomond, 75231 Paris cedex 05, France

Comptes Rendus. Physique, Nucleation, Volume 7 (2006) no. 9-10, pp. 988-999.

Résumé
Abstract

Un liquide peut être surfondu en-dessous de la température d'équilibre $T_{m}$ avec sa phase solide ou comprimé au-dessus de la pression d'équilibre $P_{m}$ correspondante. De nombreux auteurs relient le degré de surfusion (ou de surpression) maximal d'un liquide à une valeur de la tension interfaciale liquide–solide en utilisant la théorie standard de la nucléation. Le but principal de cette revue est d'examiner dans quelle mesure cette relation est justifiée. Nous passons en revue différents arguments généraux et considérons principalement deux exemples : l'hélium liquide qui est pur et simple donc un système modèle, et l'eau qui est un liquide complexe mais omniprésent.

Liquids can be supercooled below their melting temperature $T_{m}$ or pressurized above their melting pressure $P_{m}$ . Many authors relate the maximum degree of supercooling—or overpressurization—to a value of the liquid–solid interfacial tension by using the standard theory of nucleation. The main goal of this review is to examine whether this relation is justified or not. We consider general arguments and two main examples: liquid helium which is simple and pure, consequently a model system, and liquid water which is complex but ubiquitous.

Publié le : 2006-11-01

DOI : 10.1016/j.crhy.2006.10.024

Mots-clés : Nucleation, Metastability, Crystals, Liquid

Affiliations des auteurs :

Sébastien Balibar ¹ ; Frédéric Caupin ¹

¹ Laboratoire de Physique Statistique de l'Ecole Normale Supérieure associé aux Universités Paris 6 et Paris 7 et au CNRS, 24, rue Lhomond, 75231 Paris cedex 05, France

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     title = {Nucleation of crystals from their liquid phase},
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     pages = {988--999},
     publisher = {Elsevier},
     volume = {7},
     number = {9-10},
     year = {2006},
     doi = {10.1016/j.crhy.2006.10.024},
     language = {en},
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Sébastien Balibar; Frédéric Caupin. Nucleation of crystals from their liquid phase. Comptes Rendus. Physique, Nucleation, Volume 7 (2006) no. 9-10, pp. 988-999. doi : 10.1016/j.crhy.2006.10.024. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2006.10.024/

Bibliographie
Cité par

[1] R. Ishiguro; F. Caupin; S. Balibar Europhys. Lett., 75 (2006), p. 91

[2] B.M. Cwilong Proc. Roy. Soc. A, 190 (1947), p. 137

[3] E.M. Fournier d'Albe Quart. J. R. Meteorolog. Soc., 75 (1949), p. 323

[4] P. Taborek Phys. Rev. B, 32 (1985), p. 5902

[5] H.J. Maris, C. R. Physique, this issue, | DOI

[6] L. Landau, I.M. Lifshitz, Statistical Mechanics, p. 533 (Chapter 162)

[7] D.T. Wu; L. Granasy; F. Spaepen MRS Bulletin ( December 2004 ), p. 945

[8] F. Caupin, E. Herbert, C. R. Physique, this issue, | DOI

[9] D. Oxtoby J. Phys.: Condens. Matter, 4 (1992), p. 7627

[10] D. Turnbull; J.C. Fisher J. Chem. Phys., 17 (1948), p. 71

[11] P. Kabath; P. Stökel; A. Lindinger; H. Baumgärtel J. Molecular Liquids, 125 (2006), p. 204

[12] H.J. Maris; G. Seidel; T.E. Huber J. Low Temp. Phys., 51 (1983), p. 471

[13] G. Seidel; H.J. Maris; F.I.B. Williams; J.G. Cardon Phys. Rev. Lett., 56 (1986), p. 2380

[14] I.M. Lifshitz; Yu. Kagan Sov. Phys. JETP, 62 (1972), p. 385

[15] H. Kramers Physica (Utrecht), 7 (1940), p. 284

[16] H. Grabert; P. Olshowski; U. Weiss Phys. Rev. B, 36 (1987), p. 1931

[17] E. Varoquaux, this issue

[18] K.F. Kelton; G.W. Lee; A.K. Gangopadhyay; R.W. Hyers; T.J. Rathz; J.R. Rogers; M.B. Robinson; D.S. Robinson Phys. Rev. Lett., 90 (2003), p. 195504

[19] F. Caupin; S. Balibar Phys. Rev. B, 64 (2001) (064507)

[20] S. Balibar J. Low Temp. Phys., 129 (2002), p. 363

[21] R.J. Speedy J. Phys. Chem., 86 (1982), p. 982

[22] L. Bosio; C.G. Windsor Phys. Rev. Lett., 35 (1975), p. 1652

[23] T.V. Ramakrishnan; M. Yussouff Phys. Rev. B, 19 (1979), p. 2775

[24] P. Harrowell; D.W. Oxtoby J. Chem. Phys., 80 (1984), p. 1639

[25] D.W. Oxtoby Session LI, 1989, Elsevier Science Publishers BV, Amsterdam (1991), p. 147

[26] W.H. Shih; Z.Q. Wang; X.C. Zeng; D. Stroud Phys. Rev. A, 35 (1987), p. 2611

[27] L. Granasy; T. Pusztai; P.F. James J. Chem. Phys., 117 (2002), p. 6157

[28] P.R. Harrowell; D.W. Oxtoby J. Chem. Phys., 86 (1987), p. 2932

[29] J.F. Lutsko Phys. Rev. E, 74 (2006) (021603)

[30] S. Balibar; H. Alles; A.Ya. Parshin Rev. Mod. Phys., 77 (2005), p. 317

[31] P.G. Debenedetti J. Phys.: Condens. Matter, 15 (2003), p. R1669-R1726

[32] S.C. Mossop Proc. Phys. Cos., 68 (1955), p. 193

[33] S.C. Hardy Phil. Mag., 35 (1977), p. 471

[34] A. Skapski; R. Billups; J. Rooney J. Chem. Phys., 26 (1957)

[35] W.B. Hillig J. Cryst. Growth, 183 (1998), p. 463

[36] A.W. Rempel; J.S. Wettlaufer Rev. Mod. Phys., 78 (2006), p. 695

[37] P.H. Polle; F. Sciortino; U. Essmann; H.E. Stanley Nature (London), 360 (1992), p. 324

[38] E. Herbert; S. Balibar; F. Caupin Phys. Rev. E, 74 (2006), p. 041603

[39] H.J. Maris J. Low Temp. Phys., 94 (1994), p. 125

[40] H.J. Maris J. Low Temp. Phys., 98 (1995), p. 403

[41] M. Guilleumas; M. Pi; M. Barranco; J. Navarro; M.A. Solis Phys. Rev. B, 47 (1993), p. 9116

[42] J. Boronat; J. Casulleras; J. Navarro Phys. Rev. B, 50 (1994), p. 3427

[43] F. Werner; G. Beaume; A. Hobeika; S. Nascimbene; C. Herrmann; F. Caupin; S. Balibar J. Low Temp. Phys., 136 (2004), p. 93

[44] J.A. Nissen; E. Bodegom; L.C. Brodie; J.S. Semura Phys. Rev. B, 40 (1989), p. 6617

[45] S.C. Hall; J. Classen; C.K. Su; H.J. Maris J. Low Temp. Phys., 101 (1995), p. 793

[46] M.S. Pettersen; S. Balibar; H.J. Maris Phys. Rev. B, 49 (1994), p. 12062

[47] S. Balibar; B. Castaing; C. Laroche J. Physique Lettres (Paris), 41 (1980), p. 283

[48] Y. Sasaki; T. Mizusaki J. Low Temp. Phys., 110 (1998), p. 491

[49] J.P. Ruutu; P.J. Hakonen; J.S. Penttila; A.V. Babkin; J.P. Saramaki; E.B. Sonin Phys. Rev. Lett., 77 (1994), p. 2514

[50] S. Balibar; Y. Sasaki; T. Mizusaki J. Low Temp. Phys., 120 (2000), p. 293

[51] X. Chavanne; S. Balibar; F. Caupin; X. Chavanne; S. Balibar; F. Caupin J. Low Temp. Phys., 86 (2001), p. 5506

[52] M. Guilleumas; M. Barranco; D.M. Jezek; R.J. Lombard; M. Pi Phys. Rev. B, 54 (1996), p. 16135

[53] H.J. Maris; F. Caupin J. Low Temp. Phys., 131 (2003), p. 145

[54] R.P. Feynman (C.G. Gorter, ed.), Prog. Low Temp. Phys., vol. 1, North-Holland, Amsterdam, 1955

[55] F. Dalfovo; A. Lastri; L. Pricaupenko; S. Stringari; J. Treiner Phys. Rev. B, 52 (1995), p. 1193

[56] F. Caupin; D.O. Edwards; H.J. Maris Physica B, 329–333 (2003), p. 185

[57] T. Schneider; C.P. Enz Phys. Rev. Lett., 27 (1971), p. 1186

[58] L. Vranjes; J. Boronat; J. Casulleras; C. Cazorla Phys. Rev. Lett., 95 (2005) (145302)

[59] B. Vinet; L. Magnusson; H. Frederiksson; P.J. Desré J. Colloid Interface Sci., 255 (2002), p. 363

[60] D. Turnbull; R.E. Cech J. Appl. Phys., 21 (1950), p. 804

[61] V.M. Fokin; E.D. Zanotto; N.S. Yuritsyn; J.W.P. Schmelzer J. Non-Cryst. Solids, 352 (2006), p. 2681

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Y. Yang; S. Sirisky; W. Wei; G. M. Seidel; H. J. Maris Nucleation of Bubbles by Electrons in Liquid Helium-4, Journal of Low Temperature Physics, Volume 192 (2018) no. 1-2, p. 48 | DOI:10.1007/s10909-018-1879-2
Frédéric Caupin Escaping the no man's land: Recent experiments on metastable liquid water, Journal of Non-Crystalline Solids, Volume 407 (2015), p. 441 | DOI:10.1016/j.jnoncrysol.2014.09.037
Antonia Statt; Peter Virnau; Kurt Binder Crystal nuclei in melts: a Monte Carlo simulation of a model for attractive colloids, Molecular Physics, Volume 113 (2015) no. 17-18, p. 2556 | DOI:10.1080/00268976.2015.1042937
Luisa Ickes; André Welti; Corinna Hoose; Ulrike Lohmann Classical nucleation theory of homogeneous freezing of water: thermodynamic and kinetic parameters, Physical Chemistry Chemical Physics, Volume 17 (2015) no. 8, p. 5514 | DOI:10.1039/c4cp04184d
An Qu; A. Trimeche; J. Dupont-Roc; J. Grucker; Ph. Jacquier Cavitation density of superfluid helium-4 around 1 K, Physical Review B, Volume 91 (2015) no. 21 | DOI:10.1103/physrevb.91.214115
D. Clausse; E.Y. Wardhono; J.-L. Lanoiselle Formation and determination of the amount of ice formed in water dispersed in various materials, Colloids and Surfaces A: Physicochemical and Engineering Aspects, Volume 460 (2014), p. 519 | DOI:10.1016/j.colsurfa.2014.06.032
David Julian McClements Crystals and crystallization in oil-in-water emulsions: Implications for emulsion-based delivery systems, Advances in Colloid and Interface Science, Volume 174 (2012), p. 1 | DOI:10.1016/j.cis.2012.03.002
Elio Moy; Robert David; A Neumann Theoretical Approaches for Estimating Solid–Liquid Interfacial Tensions, Applied Surface Thermodynamics, Second Edition, Volume 20101338 (2010), p. 555 | DOI:10.1201/ebk0849396878-11
M W Ray; R B Hallock Growth of solid hcp4He from the superfluid, Journal of Physics: Conference Series, Volume 150 (2009) no. 3, p. 032088 | DOI:10.1088/1742-6596/150/3/032088
Frédéric Caupin Melting and freezing of embedded nanoclusters, Physical Review B, Volume 77 (2008) no. 18 | DOI:10.1103/physrevb.77.184108
B. Lindinger; R. Mettin; R. Chow; W. Lauterborn Ice Crystallization Induced by Optical Breakdown, Physical Review Letters, Volume 99 (2007) no. 4 | DOI:10.1103/physrevlett.99.045701

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