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Combining phase-field crystal methods with a Cahn-Hilliard model for binary alloys.

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We developed a new 2D model coupling Cahn-Hilliard and phase-field crystal methods to simulate how diffusing ions alter crystal structures. This framework reveals how lattice symmetry changes during diffusion-induced phase transitions in materials.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Computational Materials Science

Background:

  • Diffusion processes in crystalline materials, such as battery electrodes, induce structural changes affecting material properties.
  • Understanding lattice symmetry evolution during diffusion-induced phase transitions is crucial for material design.

Purpose of the Study:

  • To present a novel 2D theoretical framework coupling Cahn-Hilliard and phase-field crystal models.
  • To investigate the influence of lattice symmetry and distortions on diffusion-induced phase transitions.

Main Methods:

  • Coupling a Cahn-Hilliard (CH) model for composition fields with a phase-field crystal (PFC) model for lattice symmetry.
  • Utilizing coordinate transformation coefficients to link composition to affine lattice deformations.
  • Demonstrating the framework with hexagonal and square lattice symmetries and diffuse phase boundaries.

Main Results:

  • The coupled CH-PFC model successfully simulates the interplay between diffusion and lattice symmetry changes.
  • The framework captures the interpolation of lattice symmetry across diffuse phase boundaries.
  • Simulations show the evolution of lattice symmetry during a Cahn-Hilliard type diffusion process.

Conclusions:

  • The developed CH-PFC model provides a robust theoretical tool for studying diffusion-induced structural transformations.
  • This approach enables a deeper understanding of how material microstructure and symmetry co-evolve.
  • The findings have implications for designing advanced materials with tailored properties for applications like energy storage.