Comptes Rendus
Cristallisation par onde acoustique : le cas de l'hélium
[Crystallization by acoustic waves: the case of helium]
Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 601-607.

We establish a theoretical model to explain the nucleation of a crystal of helium by an acoustic over-pressure. We explain the interfacial laws for this ultra-fast cristallization, close to the sound speed. Assuming spherical symmetry and taking into account the experimental data, we recover the dynamics of the growth and melting during an over-pressure impulse.

Nous proposons un modéle théorique pour expliquer la nucléation d'un cristal d'hélium par surpression acoustique. Nous explicitons les lois aux interfaces pour cette cristallisation ultra-rapide, proche des vitesses supersoniques. En supposant la symétrie sphérique et en nous appuyant sur les données expérimentales, nous retrouvons la dynamique de croissance et de fusion du cristal au cours d'une impulsion de surpression micro-onde.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-0721(03)00140-2
Mot clés : Ondes, Acoustique, Vibrations, Lois interfaciales, Cristallisation, Nucléation, Hélium solide, Cavitation
Keywords: Acoustics, Waves, Vibrations, Interfacial laws, Crystallization, Nucleation, Solid helium, Cavitation

Martine Ben Amar 1; Michael P. Brenner 2; James R. Rice 2

1 Laboratoire de physique statistique, École normale supérieure, 24, rue Lhomond, 75231 Paris cedex 05, France
2 Division of Engineering and Applied Sciences and Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, États-Unis
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Martine Ben Amar; Michael P. Brenner; James R. Rice. Cristallisation par onde acoustique : le cas de l'hélium. Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 601-607. doi : 10.1016/S1631-0721(03)00140-2. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00140-2/

[1] C.E. Brennen Cavitation and Bubble Dynamics, Oxford University Press, 1995

[2] X. Chavanne; S. Balibar; F. Caupin Acoustic crystallization and heterogeneous nucleation, Phys. Rev. Lett., Volume 84 (2001), pp. 5506-5509

[3] L.M. Truskinovsky Dynamics of non-equilibrium phase boundaries in a heat conducting non-linearly elastic medium, J. Appl. Math. Mech., Volume 51 (1987) no. 6, pp. 777-784

[4] R. Abeyaratne; J.K. Knowles On the driving traction acting on a surface of strain discontinuity in a continuum, J. Mech. Phys. Solids, Volume 38 (1990) no. 3, pp. 345-360

[5] J. Mandel Cours de mécanique des milieux continus, Pergamon Press, 1966

[6] J. Langer Instabilities and pattern formation in crystal growth, Rev. Mod. Phys., Volume 52 (1980), pp. 1-28

[7] P. Pelcé Dynamics of Curved Fronts, Perspect. Phys., Academic Press, 1988

[8] D. Kessler; J. Koplik; H. Levine Pattern selection in fingered growth phenomena, Adv. Phys., Volume 37 (1988), pp. 255-339

[9] Y. Pomeau; M. Ben Amar Dendritic growth and related topics (C. Godrèche, ed.), Solids Far From Equilibrium, Aléa Saclay, 1992, pp. 365-429

[10] M. Ben Amar, M.P. Brenner, J.R. Rice, Nucleation of a helium crystal by acoustic waves, Preprint, École normale supérieure, 2003

[11] M.P. Brenner; S. Higenfeldt; D. Lohse Single-bubble sonoluminescence, Rev. Mod. Phys., Volume 74 (2002), pp. 425-484

[12] A.A. Doinikov Translational motion of a spherical bubble in an acoustic standing wave of high intensity, Phys. Fluids, Volume 14 (2002), pp. 1420-1425

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