Statistical properties and shell analysis in random cellular structures

Details Statistical properties and shell analysis in random cellular structures Statistical properties and shell analysis in random cellular structures

1996-12-14

arxiv.org/abs/cond-mat/9612136v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 Pages Postscript, 4 figures

Scientific paper

10.1103/PhysRevE.54.5482

We investigate the statistical properties of two dimensional random cellular systems (froths) in term of their shell structure. The froth is analyzed as a system of concentric layers of cells around a given central cell. We derive exact analytical relations for the topological properties of the sets of cells belonging to these layers. Experimental observations of the shell structure of two-dimensional soap froth are made and compared with the results on two kinds of Voronoi constructions. It is found that there are specific differences between soap froths and purely geometrical constructions. In particular these systems differ in the topological charge of clusters as a function of shell number, in the asymptotic values of defect concentrations, and in the number of cells in a given layer. We derive approximate expressions with no free parameters which correctly explain these different behaviors.

Affiliated with

Also associated with

No associations

Rating

Statistical properties and shell analysis in random cellular structures 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 Statistical properties and shell analysis in random cellular structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical properties and shell analysis in random cellular structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-250904