Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-08-02
J. Stat. Mech. (2006) P09004
Physics
Condensed Matter
Statistical Mechanics
16 pages, 8 figures
Scientific paper
10.1088/1742-5468/2006/09/P09004
We extend the conformal mapping approach elaborated for the radial Diffusion Limited Aggregation model (DLA) to the cylindrical geometry. We introduce in particular a complex function which allows to grow a cylindrical cluster using as intermediate step a radial aggregate. The grown aggregate exhibits the same self-affine features of the original cylindrical DLA. The specific choice of the transformation allows us to study the relationship between the radial and the cylindrical geometry. In particular the cylindrical aggregate can be seen as a radial aggregate with particles of size increasing with the radius. On the other hand the radial aggregate can be seen as a cylindrical aggregate with particles of size decreasing with the height. This framework, which shifts the point of view from the geometry to the size of the particles, can open the way to more quantitative studies on the relationship between radial and cylindrical DLA.
Caglioti Emanuele
Loreto Vittorio
Pietronero Luciano
Taloni Alessandro
No associations
LandOfFree
Conformal approach to cylindrical DLA 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 Conformal approach to cylindrical DLA, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal approach to cylindrical DLA will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-50094