ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2021
The hodograph equation for slow and fast anisotropic interface propagation.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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- The hodograph equation for slow and fast anisotropic interface propagation.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2021Article
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Abstract
Using the model of fast phase transitions and previously reported equation of the Gibbs-Thomson-type, we develop an equation for the anisotropic interface motion of the Herring-Gibbs-Thomson-type. The derived equation takes the form of a hodograph equation and in its particular case describes motion by mean interface curvature, the relationship 'velocity-Gibbs free energy', Klein-Gordon and Born-Infeld equations related to the anisotropic propagation of various interfaces. Comparison of the present model predictions with the molecular-dynamics simulation data on nickel crystal growth (obtained by Jeffrey J. Hoyt
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