Derivation of the phase field crystal model for colloidal solidification

Details Derivation of the phase field crystal model for colloidal solidification Derivation of the phase field crystal model for colloidal solidification

2009-02-19

arxiv.org/abs/0902.3363v2

Phys. Rev. E 79, 051404 (2009)

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 5 figures; corrected typos, minor changes after review

Scientific paper

10.1103/PhysRevE.79.051404

The 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.

Affiliated with

Also associated with

No associations

Rating

Derivation of the phase field crystal model for colloidal solidification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derivation of the phase field crystal model for colloidal solidification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivation of the phase field crystal model for colloidal solidification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260376