Derivation of the phase field crystal model for colloidal solidification

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dc.creatorvan Teeffelen, Sven
dc.creatorBackofen, Rainer
dc.creatorVoigt, Axel
dc.creatorLöwen, Hartmut
dc.date2009-02-19
dc.date2009-05-28
dc.date.accessioned2026-07-07T13:18:24Z
dc.date.available2026-07-07T13:18:24Z
dc.descriptionThe phase-field crystal model is by now widely used in order to predict crystal nucleation and growth. For colloidal solidification with completely overdamped individual particle motion, we show that the phase-field crystal dynamics can be derived from the microscopic Smoluchowski equation via dynamical density functional theory. The different underlying approximations are discussed. In particular, a variant of the phase-field crystal model is proposed which involves less approximations than the standard phase-field crystal model. We finally test the validity of these phase-field crystal models against dynamical density functional theory. In particular, the velocities of a linear crystal front from the undercooled melt are compared as a function of the undercooling for a two-dimensional colloidal suspension of parallel dipoles. Good agreement is only obtained by a drastic scaling of the free energies in the phase-field crystal model in order to match the bulk freezing transition point.
dc.description11 pages, 5 figures; corrected typos, minor changes after review
dc.identifierhttps://arxiv.org/abs/0902.3363
dc.identifierhttp://arxiv.org/abs/0902.3363
dc.identifierPhys. Rev. E 79, 051404 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.051404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231416
dc.subjectSoft Condensed Matter
dc.subjectMaterials Science
dc.subjectStatistical Mechanics
dc.titleDerivation of the phase field crystal model for colloidal solidification
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