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<b>Abstract</b>— <p>Using the modified phase field crystal model (MPFC-model), an analysis of dynamics of solid-liquid interfaces in solidification and melting processes is presented. Dynamical regimes for face centerd cubic (FCC) lattice invading liquid melt (solidification) and liquid propagating into a thermodynamically metastable crystal (melting) are described in terms of the dynamical moving equations obtained from amplitude expansion of the MPFC density field. A generalized form of the amplitude equations for one-mode and two-mode MPFC is obtained for the FCC crystal and for different crystallographic directions. The traveling wave solution for the front velocity is quantitatively compared with data of molecular dynamics simulation for solidification and melting of the copper FCC-lattice. The phase-field mobility and free energy parameters for Cu (copper) are quantitatively estimated.</p>

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Solidification of Cu Melt in Phase-Field Crystal Model with Traveling Wave Solution

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • V. E. Ankudinov,
  • P. K. Galenko

摘要

Abstract—

Using the modified phase field crystal model (MPFC-model), an analysis of dynamics of solid-liquid interfaces in solidification and melting processes is presented. Dynamical regimes for face centerd cubic (FCC) lattice invading liquid melt (solidification) and liquid propagating into a thermodynamically metastable crystal (melting) are described in terms of the dynamical moving equations obtained from amplitude expansion of the MPFC density field. A generalized form of the amplitude equations for one-mode and two-mode MPFC is obtained for the FCC crystal and for different crystallographic directions. The traveling wave solution for the front velocity is quantitatively compared with data of molecular dynamics simulation for solidification and melting of the copper FCC-lattice. The phase-field mobility and free energy parameters for Cu (copper) are quantitatively estimated.