Comparison of phase-field models for surface diffusion

Details Comparison of phase-field models for surface diffusion Comparison of phase-field models for surface diffusion

2007-11-12

arxiv.org/abs/0711.1809v1

Physics

Computational Physics

23 pages, 16 figures, submitted to PRE, this paper is closely related to cond-mat/0607823, in which some of the analytical der

Scientific paper

The description of surface-diffusion controlled dynamics via the phase-field method is less trivial than it appears at first sight. A seemingly straightforward approach from the literature is shown to fail to produce the correct asymptotics, albeit in a subtle manner. Two models are constructed that approximate known sharp-interface equations without adding undesired constraints. Linear stability of a planar interface is investigated for the resulting phase-field equations and shown to reduce to the desired limit. Finally, numerical simulations of the standard and a more sophisticated model from the literature as well as of our two new models are performed to assess the relative merits of each approach. The results suggest superior performance of the new models in at least some situations.

Affiliated with

Also associated with

No associations

Rating

Comparison of phase-field models for surface diffusion 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 Comparison of phase-field models for surface diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comparison of phase-field models for surface diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128971