English

A self-contained algorithm for determination of solid-liquid equilibria in an alloy system

Statistical Mechanics 2021-02-05 v1

Abstract

We describe a self-contained procedure to evaluate the free energy of liquid and solid phases of an alloy system. The free energy of a single-element solid phase is calculated with thermodynamic integration using the Einstein crystal as the reference system. Then, free energy difference between the solid and liquid phases is calculated by Gibbs-Duhem integration. The central part of our method is the construction of a reversible alchemical path connecting a pure liquid and a liquid alloy to calculate the mixing enthalpy and entropy. We have applied the method to calculate the free energy of solid and liquid phases in the Al-Sm system. The driving force for fcc-Al nucleation in Al-Sm liquid and the melting curve for fcc-Al and Al3Sm are also calculated.

Keywords

Cite

@article{arxiv.1712.01339,
  title  = {A self-contained algorithm for determination of solid-liquid equilibria in an alloy system},
  author = {Lin Yang and Yang Sun and Zhuo Ye and Feng Zhang and Mikhail I. Mendelev and Cai-Zhuang Wang and Kai-Ming Ho},
  journal= {arXiv preprint arXiv:1712.01339},
  year   = {2021}
}

Comments

15 pages, 7 figures, submitting to a journal

R2 v1 2026-06-22T23:06:30.981Z