The European Physical Journal Special Topics

, Volume 223, Issue 3, pp 363–372 | Cite as

Bridging the phase-field and phase-field crystal approaches for anisotropic material systems

  • J. KundinEmail author
  • M.A. Choudhary
  • H. Emmerich
Regular Article
Part of the following topical collections:
  1. Heterogenous Nucleation and Microstructure Formation: Steps Towards a System and Scale Bridging Understanding


In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recently proposed as a generalized model for isotropic as well as anisotropic crystal lattice systems is developed. The relationship between the amplitude equations and the standard phase-field model for solidification of pure substances with elasticity effects is derived which provide an explicit connection between the phase-field and APFC models. On the one hand we present a computationally more efficient model and highlight its potential as a bridge between the PFC and phase-field models with anisotropic interface energies and kinetics on the other hand.


European Physical Journal Special Topic Atomic Density Triangular Lattice Amplitude Equation Microstructure Formation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  1. 1.Material and Process Simulation (MPS), University BayreuthBayreuthGermany

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