2011
DOI: 10.2355/isijinternational.51.1664
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Estimation of Solid-liquid Interfacial Energy from Gibbs-Thomson Effect: A Molecular Dynamics Study

Abstract: Solid-liquid interfacial energies of chromium and nickel are estimated from a Gibbs-Thomson relation. Molecular dynamics simulation shows that there is a critical temperature dividing shrinking or growing of a freestanding spherical crystal in the undercooled melt and the critical temperature is negatively correlated with inverse of crystal radius, which is regarded as the Gibbs-Thomson effect. The solid-liquid interfacial energies are then estimated from the proportional coefficient, to be 0.304 Jm -2 for chr… Show more

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Cited by 35 publications
(20 citation statements)
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“…This is in agreement with the information Table I. Thermodynamic and kinetic parameters estimated from molecular dynamics simulations [41][42][43][44][45][46][47][48][49] Element (potential) 46b Sun et al 45c Asadi et al 48d Asta et al 42e Hoyt et al 41f Hoyt et al 44g Hashimoto et al 47h Asadi et al 49i Morris 43 . in Table I, in which the kinetic coefficient of the h100i direction is larger than that of the h110i direction.…”
Section: Solidification In Large-scale Molecular Dynamics Simulationsupporting
confidence: 78%
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“…This is in agreement with the information Table I. Thermodynamic and kinetic parameters estimated from molecular dynamics simulations [41][42][43][44][45][46][47][48][49] Element (potential) 46b Sun et al 45c Asadi et al 48d Asta et al 42e Hoyt et al 41f Hoyt et al 44g Hashimoto et al 47h Asadi et al 49i Morris 43 . in Table I, in which the kinetic coefficient of the h100i direction is larger than that of the h110i direction.…”
Section: Solidification In Large-scale Molecular Dynamics Simulationsupporting
confidence: 78%
“…The estimated values of these properties in representative papers [41][42][43][44][45][46][47][48][49] are summarized in Table I. As can be seen in the table, the kinetic coefficient of the bcc h100i orientation is slightly higher than those of the h110i and h100i orientations in general.…”
Section: Solidification In Large-scale Molecular Dynamics Simulationmentioning
confidence: 83%
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“…solid-liquid interfacial energy including the anisotropy in several metals, e.g., Ni, [22][23][24][25] Cu, 23,24) Au, 26) Ag, 24,26) Al, 23,24) Pb 23,24,27) and Fe [28][29][30] as well as the model system such as hard-sphere 31) and Lennard-Jones systems. 32) Importantly, the kinetic coefficients were studied for several physical systems characterized by different interatomic potentials such as Lennard-Jones potential, 33,34) embedded atom method (EAM), 26,28,35) Finnis-Sinclair (FS) potential 30) and hard-sphere model.…”
Section: A Molecular Dynamics Study Of Partitionless Solidification Amentioning
confidence: 99%
“…where Γ is the Gibbs-Thompson coefficient (Γ=10 -7 mK [32]), D is the diffusion coefficient of solute in the liquid (D=10 -9 m 2 s -1 [33]), m is the slope of the liquids line, l m is the composition of the last liquid to solidify, C0 is the overall composition, tSL is the solidification time of the primary phase, and the units of 2 are m [34]. Use of Eq.…”
Section: Solidification Kineticsmentioning
confidence: 99%