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Crystal-melt interfacial free energy of binary hard spheres from capillary fluctuations
Amini, Majeed Laird, Brian Bostian
Amini, Majeed
Laird, Brian Bostian
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Abstract
Using molecular-dynamics simulation coupled with an analysis of equilibrium capillary fluctuations in interfacial position, we compute the magnitude and anisotropy of the interfacial free energy γ for a binary hard-sphere system with a diameter ratio α=0.9. This system, in which the fluid mixture coexists with a randomly substituted face-centered-cubic solid solution, is a useful reference model for alloys. Our results show that γ increases with increasing mole fraction of the smaller sized particle when temperature is held constant. However, after rescaling the results to fixed pressure and varying temperature, we find that γ decreases with increased alloying by the smaller particle (corresponding to lower temperatures). Thus, γ is seen to decrease with increasing concentration of the lower melting point solute, consistent with earlier simulations on Ni/Cu and Lennard-Jones mixtures. The anisotropy in γ is such that the inequality γ100>γ110>γ111 holds for all concentrations studied. Using the classification scheme of Haxhimali et al., [Nat. Mater. 5, 660 (2006)] we find that the anisotropy in γ is consistent with a predicted ⟨100⟩ primary dendrite growth direction.
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This is the publisher's version, also available electronically from http://journals.aps.org/prb/abstract/10.1103/PhysRevB.78.144112.
Date
2008-10-30
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American Physical Society
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Amini, Majeed; Laird, Brian Bostian. (2008). "Crystal-melt interfacial free energy of binary hard spheres from capillary fluctuations." Physical Review B, 78(14):144112. http://dx.doi.org/10.1103/PhysRevB.78.144112