Minimum free-energy path of homogenous nucleation from the phase-field equation

Details Minimum free-energy path of homogenous nucleation from the phase-field equation Minimum free-energy path of homogenous nucleation from the phase-field equation

2009-06-04

arxiv.org/abs/0906.0805v1

Physics

Condensed Matter

Materials Science

8 pages, 5 figures, Journal of Chemical Physics accepted for publication

Scientific paper

The minimum free-energy path (MFEP) is the most probable route of the nucleation process on the multidimensional free-energy surface. In this study, the phase-field equation is used as a mathematical tool to deduce the minimum free-energy path (MFEP) of homogeneous nucleation. We use a simple square-gradient free-energy functional with a quartic local free-energy function as an example and study the time evolution of a single nucleus placed within a metastable environment. The time integration of the phase-field equation is performed using the numerically efficient cell-dynamics method. By monitoring the evolution of the size of the nucleus and the free energy of the system simultaneously, we can easily deduce the free-energy barrier as a function of the size of the sub- and the super-critical nucleus along the MFEP.

Affiliated with

Also associated with

No associations

Rating

Minimum free-energy path of homogenous nucleation from the phase-field equation 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 Minimum free-energy path of homogenous nucleation from the phase-field equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimum free-energy path of homogenous nucleation from the phase-field equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493919