Phase diagram and commensurate-incommensurate transitions in the phase field crystal model with an external pinning potential

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Achim, C. V.
dc.contributor.author Karttunen, M.
dc.contributor.author Elder, K. R.
dc.contributor.author Granato, E.
dc.contributor.author Ala-Nissilä, Tapio
dc.contributor.author Ying, S. C.
dc.date.accessioned 2015-04-28T09:44:12Z
dc.date.available 2015-04-28T09:44:12Z
dc.date.issued 2006
dc.identifier.citation Achim, C. V. & Karttunen, M. & Elder, K. R. & Granato, E. & Ala-Nissilä, Tapio. & Ying, S. C. 2006. Phase diagram and commensurate-incommensurate transitions in the phase field crystal model with an external pinning potential. Physical Review E. Volume 74, Issue 2. P. 021104/1-8. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.74.021104. en
dc.identifier.issn 1539-3755 (printed)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/15793
dc.description.abstract We study the phase diagram and the commensurate-incommensurate transitions in a phase field model of a two-dimensional crystal lattice in the presence of an external pinning potential. The model allows for both elastic and plastic deformations and provides a continuum description of lattice systems, such as for adsorbed atomic layers or two-dimensional vortex lattices. Analytically, a mode expansion analysis is used to determine the ground states and the commensurate-incommensurate transitions in the model as a function of the strength of the pinning potential and the lattice mismatch parameter. Numerical minimization of the corresponding free energy shows reasonable agreement with the analytical predictions and provides details on the topological defects in the transition region. We find that for small mismatch the transition is of first order, and it remains so for the largest values of mismatch studied here. Our results are consistent with results of simulations for atomistic models of adsorbed overlayers. en
dc.format.extent 021104/1-8
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society (APS) en
dc.relation.ispartofseries Physical Review E en
dc.relation.ispartofseries Volume 74, Issue 2
dc.rights © 2006 American Physical Society (APS). http://www.aps.org en
dc.subject.other Physics en
dc.title Phase diagram and commensurate-incommensurate transitions in the phase field crystal model with an external pinning potential en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.rights.holder American Physical Society (APS)
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.school School of Science en
dc.contributor.department Teknillisen fysiikan laitos fi
dc.contributor.department Department of Applied Physics en
dc.subject.keyword two-dimensional crystal lattice en
dc.subject.keyword pinning potential en
dc.subject.keyword transition en
dc.identifier.urn URN:NBN:fi:aalto-201504282454
dc.type.dcmitype text en
dc.identifier.doi 10.1103/physreve.74.021104
dc.type.version Final published version en


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