Abstract
The dynamics of dislocation-free crystal facets is examined in the context of grain boundary grooves at the junction between two crystallites of a solid and the liquid phase. The geometry and thermal conditions of grain boundary grooves allow a detailed analysis of facet morphology during solidification in terms of the nucleation and spreading rates of elementary crystal planes. Observations on the freezing of water in a two-dimensional cell reveal several dynamical features which are treated by the theory. Additional observations provide indications for the stiffness and premelting of grain boundaries.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
G. F. Bolling and W. A. Tiller, J. Appl. Phys. 31:1345 (1960).
G. E. Nash and M. E. Glicksman, Phil. Mag. 24:577 (1971).
R. J. Schaefer, M. E. Glicksman, and J. D. Ayers, Phil. Mag. 32:725 (1977).
S. C. Hardy, Phil. Mag. 35:471–484 (1977).
P. W. Voorhees, S. R. Coriell, G. B. McFadden, and R. F. Sekerka, J. Cryst. Growth 67:425–440 (1984).
L. A. Wilen and J. G. Dash, Science 270:1184–1186 (1995).
W. K. Burton, N. Cabrera, and F. C. Frank, Phil. Trans. Roy. Soc. A 243:299–358 (1951).
J. W. Cahn, Acta Metall. 8:534–562 (1960).
J. W. Cahn, W. B. Hillig, and G. W. Sears, Acta Metall. 12:1421–1439 (1964).
W.B. Hillig, in Growth and Perfection of Crystals, R. H. Doremus, B. W. Roberts, and D. Turnbull, eds. (Wiley, New York, 1958), pp. 350–360.
D. Turnbull, in Solid State Physics, Vol. 7, F. Seitz and D. Turnbull, eds. (Academic Press, New York, 1956), pp. 226–308.
P. R. Pennington, S. F. Ravitz, and G. Abbaschian, Acta Metall. 18:943–953 (1970).
H. W. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. (Oxford, Clarendon Press, 1959).
A. M. Meirmanov, The Stefan Problem (W. de Gruyter, Berlin–New York, 1992).
J. Bilgram, H. Wenzl, and G. Mair, J. Cryst. Growth 20:319–321 (1973).
S. C. Colbeck, CRREL Rpt 92-3 (Cold Regions Research and Engineering Lab, Hanover, New Hampshire, 1992).
M. Elbaum and J. S. Wettlaufer, Phys. Rev. E 48:3180–3183 (1993).
M. G. Worster and J. S. Wettlaufer, J. Phys. Chem. B 101:6132–6136 (1997).
J. E. Taylor, J. W. Cahn, and C. A. Handwerker, Acta Metall. 40:1443–1474 (1992).
J. S. Wettlaufer, M. Jackson, and M. Elbaum, J. Phys. A 27:5957–5967 (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dash, J.G., Hodgkin, V.A. & Wettlaufer, J.S. Dynamics of Faceted Grain Boundary Grooves. Journal of Statistical Physics 95, 1311–1322 (1999). https://doi.org/10.1023/A:1004579223189
Issue Date:
DOI: https://doi.org/10.1023/A:1004579223189