1998/01/01 by Jianyuan Yin, Kai Jiang, An‐Chang Shi +4 · 1 citation
Business, Management and Accounting · Chemistry · Materials Science · Mathematics · Physics and Astronomy · Psychology · Social Sciences · #Chemical physics #Chemistry #Condensed matter physics #Crystallography #Education and Teacher Training #Geometry #Higher Education and Sustainability #Humanities #Lamellar structure #Materials science #Mathematical analysis #Mathematics #Maxima and minima #Metastability #Nucleation #Organizational Management and Innovation #Persona #Phase (matter) #Phase transition #Philosophy #Physics #Political science #Psychology #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Saddle #Saddle point #Solidification and crystal growth phenomena #Theoretical and Computational Physics #Thermodynamics #cond-mat.mtrl-sci
paper · pdf · doi:10.1073/pnas.2106230118
openalex publication_date 1998/01/01 · openalex created_date 2016/06/24 · arxiv created 2021/12/02 · arxiv updated 2022/01/05 · openalex updated_date 2026/06/24
Due to structural incommensurability, the emergence of a quasicrystal from a crystalline phase represents a challenge to computational physics. Here, the nucleation of quasicrystals is investigated by using an efficient computational method applied to a Landau free-energy functional. Specifically, transition pathways connecting different local minima of the Lifshitz-Petrich model are obtained by using the high-index saddle dynamics. Saddle points on these paths are identified as the critical nuclei of the 6-fold crystals and 12-fold quasicrystals. The results reveal that phase transitions between the crystalline and quasicrystalline phases could follow two possible pathways, corresponding to a one-stage phase transition and a two-stage phase transition involving a metastable lamellar quasicrystalline state, respectively.