Abstract
We have performed large-scale molecular dynamics simulations of solid-liquid interfaces in aluminum, in order to calculate their interfacial stiffness and free energy. The anisotropy of these properties, though small, is key for determining the steady-state solutions for solidification in three dimensions. We find that the interfacial free energy, γ(θ), can be well represented by the form γ(θ) = γ0(1 + ε cos 4θ, where θ measures the angle relative to the [100] interface, rotating about a [001] direction. We find values of γ0 = 120 ± 6 mJ/m2 and ε = 1.3 ± 0.4%, in agreement with previous estimates and current experimental results.
Similar content being viewed by others
References
D.P. Woodruff, The Solid-Liquid Interface(Cambridge University Press, 1973).
J.S. Langer, in LesHouches, Session XLVI, 1986-Chance and Matter, edited by R.S.J. Souletie and J. Vannimenus (Elsevier Science Publishers, North-Holland, 1987), p. 629.
J.P. Gollub and J.S. Langer,Rev. Mod. Phys. 71, S396 (1999).
M.B. Amar and E. Brener, Phys. Rev. Lett. 71, 589 (1993).
E. Brener, Phys. Rev. Lett. 71, 3653 (1993).
P. Kopczynski, W.J. Rappel, and A. Karma, Phys. Rev. Lett. 77, 3387 (1996).
A. Karma, Phys. Rev. E 48,3441 (1993).
F. Ercolessi and J.B. Adams, Europhys.Lett. 26, 583 (1994).
J.J. Hoyt, M. Sadigh, M. Asta, and S.M. Foiles, Acta Mat. 47, 3181 (1999).
W.J. Briels and H.L. Tepper, Phys. Rev. Lett. 79,5074 (1995).
A.L. Altman and A.P. Cracknell, Rev.Mod. Phys. 37, 19 (1965).
S. Liu, R.E. Napolitano, and R. Trivedi, Acta Mater. 49, 4271 (2001).
A. Karma, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Morris, J., Lu, Z., Ye, Y. et al. The Anisotropic Free Energy of the Solid-Liquid Phase Boundary in Al. Interface Science 10, 143–148 (2002). https://doi.org/10.1023/A:1015800629100
Issue Date:
DOI: https://doi.org/10.1023/A:1015800629100