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A theory for polymorphic melting in binary solid solutions

Published online by Cambridge University Press:  11 April 2011

Huaming Li  and
Mo Li
Huaming Li
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332; and School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332
Mo Li*
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332; and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

We propose a phenomenological Landau theory to describe polymorphic melting in binary solid solutions. We use the mean atomic displacement as the primary order parameter to represent the loss of the long-range order and the elastic strain induced by alloy component as the secondary order parameter. Under polymorphic constraint where alloy concentration fluctuation is restricted, the model predicts the melting line, also called T0-curve that is depressed by two factors, the static strain field caused by the solute, and the anharmonicity induced by the thermal vibration. We also obtain other thermodynamic properties at and around the melting point. The results confirm well with available experimental results for dilute solutions. We extrapolate the melting line to high concentration region for which no experimental data are available. From the results, we discuss the relation between polymorphic melting and glass transition, as well as glass formability.

Keywords

Phase transformationAmorphousPhase equilibria
Type
Articles
Information
Journal of Materials Research , Volume 26 , Issue 8 , 28 April 2011 , pp. 997 - 1005
Copyright
Copyright © Materials Research Society 2011

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