Abstract
Of all the physical properties of a crystal, its ultimate transition to the liquid state, at a sufficiently high temperature, is one of the most mysterious. It is surprising that no widely-accepted theory of melting has yet emerged, but the same is true of the liquid state itself, and it could well be that a full understanding of both problems will come simultaneously. The aim of this brief review is a commentary on one particular melting model: the dislocation theory of melting. According to this, melting occurs through the sudden catastrophic proliferation of dislocations. The model usually assumes that this implies acceptance of a picture of the liquid state in which the latter is essentially a crystal filled to saturation with dislocations, though it might later transpire that this is not an absolutely necessary consequence of dislocation mediated melting.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
N. F. Mott and R.W. Gurney, Trans. Faraday Soc. 35, 364 (1939).
W. L. Bragg, Symposium on Internal Stresses (Institute of Metals, London, 1947) p. 221.
R.M.J. Cotterill and M. Doyama, Phys. Rev. 145, 465 (1966).
W. Shockley, l’Etat Solide (Inst. International de Physique Solvay, Brussels, 1952) p. 431.
A. Ookawa, J. Phys. Soc. Japan 15, 70 (1960)
S. Mizushima, J. Phys. Soc. Japan 15, 70(1960)
D. Kuhlmann-Wilsdorf, Phys. Rev. 140, A1599 (1965)
S.F. Edwards, Polymer 17, 933(1976)
R.M.J. Cotterill (to be published)
R.M.J. Cotterill and L.B. Pedersen, Solid State Communications 10, 439(1972)
R.M.J. Cotterill, in High Temperature Materials Phenomena, ed. J.G. Rasmussen (Polyteknisk Forlag, 1972) p. 285
R.M.J. Cotterill, W. Damgaard Kristensen, and E.J. Jensen, Phil. Mag. 30, 245 (1974)
R.M.J. Cotterill, Phil. Mag. 32, 1283 (1975)
R.K. Crawford, Bull. Amer. Phys. Soc. 24, 385(1979)
R.K. Crawford (to be published).
R.M.J. Cotterill and J. Klæstrup Kristensen, Phil. Mag. 36, 453 (1977).
R.M.J. Cotterill, Physica Scripta (in the press).
R.M.J. Cotterill, Phys. Rev. Letters (in the press).
R.M.J. Cotterill, E.J Jensen, W. Damgaard Kristensen, R. Paetsch, and P. O. Esbjørn, J. de Physique 36, C2–35 (1975).
S. F. Edwards and M. Warner (to be published).
F.C. Frank and J.W. Steeds, in The Physics of Metals 2, ed. P.B. Hirsch (Cambridge University Press, 1975) p. 68.
J.J. Gilman, J. Appl. Phys. 44, 675 (1973).
M.F. Ashby and J. Logan, Scripta Metall. 7, 513(1973).
V.F. Weisskopf, Trans. New York Acad. Sci. 38, 202 (1977).
J.M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 118. (1973).
B.I. Halperin and D.R. Nelson, Phys. Rev. Letters 41, 121 (1978).
D. Frenkel and J. P. McTague, Bull. Amer. Phys. Soc. 24, 362 (1979).
M. Toda, J. Phys. Soc. Japan 22, 431 (1967).
R.M.J. Cotterill, Physica Scripta 18, 37(1978).
A. Seeger and A. Kochendörfer, Z. Phys. 130, 321 (1951).
F.A. Lindemann, Z. Phys. 11, 609 (1910).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Plenum Press, New York
About this chapter
Cite this chapter
Cotterill, R.M.J. (1980). The Dislocation Theory of Melting: History, Status, and Prognosis. In: Riste, T. (eds) Ordering in Strongly Fluctuating Condensed Matter Systems. NATO Advanced Study Institutes Series, vol 50. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3626-6_18
Download citation
DOI: https://doi.org/10.1007/978-1-4684-3626-6_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-3628-0
Online ISBN: 978-1-4684-3626-6
eBook Packages: Springer Book Archive