Phase diagram of pinned lattices in the phase field crystal model

Christian Achim, Mikko Karttunen, Ken Elder, Enzo Granato, Tapio Ala-Nissila, See Chen Ying

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)
138 Downloads (Pure)


We study the phase diagram and the commensurate-incommensurate phase transitions of a two-dimensional phase field crystal model for adsorbed layers. The model allows for both elastic and plastic deformations on atomic and diffusive time-scales, and provides a continuum description of lattice systems, such as adsorbed atomic layers or two-dimensional vortex lattices. Analytically, mode expansion analysis and numerical minimization of the free energy are used to determine the ground states as a function of the pinning potential and lattice mismatch parameter. The results show a rich phase diagram with several different types of commensurate and incommensurate phases.
Original languageEnglish
Article number072001
Pages (from-to)1-4
JournalJournal of Physics: Conference Series
Issue number7
Publication statusPublished - 2008
MoE publication typeA1 Journal article-refereed


  • commensurate-incommensurate transition

Fingerprint Dive into the research topics of 'Phase diagram of pinned lattices in the phase field crystal model'. Together they form a unique fingerprint.

Cite this