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A theory for polymorphic melting in binary solid solutions

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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.

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Acknowledgments

The authors acknowledge the financial support to this work provided partially by the National Science Foundation under Grant No. NSF-0907320. M.L. is also grateful for the partial support by the National Science Foundation under Grant No. PHY05-51164 at Kavli Institute for Theoretical Physics in University of California, Santa Barbara, where a part of this work was done.

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Authors and Affiliations

  1. Georgia Institute of Technology, School of Materials Science and Engineering, Atlanta, Georgia, 30332, USA

    Huaming Li & Mo Li

  2. School of Physics, Georgia Institute of Technology, Atlanta, Georgia, 30332, USA

    Huaming Li

  3. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California, 93106, USA

    Mo Li

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  1. Huaming Li
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Correspondence to Mo Li.

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Li, H., Li, M. A theory for polymorphic melting in binary solid solutions. Journal of Materials Research 26, 997–1005 (2011). https://doi.org/10.1557/jmr.2011.55

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