2018
DOI: 10.1016/j.commatsci.2018.04.028
|View full text |Cite
|
Sign up to set email alerts
|

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

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 mixin… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2

Citation Types

0
3
0

Year Published

2018
2018
2019
2019

Publication Types

Select...
2
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(3 citation statements)
references
References 38 publications
0
3
0
Order By: Relevance
“…The determination of the liquid density, ρ L , is trivial. The chemical potential difference, μ, can be calculated using the thermodynamic integration based on an alchemical path linking the doped and pure liquids [39] (see the Supplemental Material [40] for details). The method to determine the critical nucleus size N * was described in detail in Ref.…”
Section: Effects Of Dopants On the Nucleation Ratementioning
confidence: 99%
“…The determination of the liquid density, ρ L , is trivial. The chemical potential difference, μ, can be calculated using the thermodynamic integration based on an alchemical path linking the doped and pure liquids [39] (see the Supplemental Material [40] for details). The method to determine the critical nucleus size N * was described in detail in Ref.…”
Section: Effects Of Dopants On the Nucleation Ratementioning
confidence: 99%
“…The determination of the liquid density, ρ L , is trivial. The chemical potential difference, ∆µ, can be calculated using the thermodynamic integration based on an alchemical path linking the doped and pure liquids [39](see Supplementary Materials for details). The method to determine the critical nucleus size N * was described in detail in Ref.…”
Section: Effects Of Dopants On the Nucleation Ratementioning
confidence: 99%
“…The critical size 𝑁 * and the attachment rate 𝑓 + can be obtained from molecular dynamical simulations using the persistentembryo method. The chemical potential difference ∆𝜇 is calculated separately using thermodynamic integration based on an alchemical path linking the pure Al liquid to the Al-Sm liquid [28].…”
mentioning
confidence: 99%