Dependence of Conductance on Percolation Backbone Mass

Details Dependence of Conductance on Percolation Backbone Mass Dependence of Conductance on Percolation Backbone Mass

1999-10-15

arxiv.org/abs/cond-mat/9910236v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1103/PhysRevE.61.3435

On two-dimensional percolation clusters at the percolation threshold, we study $<\sigma(M_B,r)>$, the average conductance of the backbone, defined by two points separated by Euclidean distance $r$, of mass $M_B$. We find that with increasing $M_B$ and for fixed r, $<\sigma(M_B,r)>$ asymptotically {\it decreases} to a constant, in contrast with the behavior of homogeneous sytems and non-random fractals (such as the Sierpinski gasket) in which conductance increases with increasing $M_B$. We explain this behavior by studying the distribution of shortest paths between the two points on clusters with a given $M_B$. We also study the dependence of conductance on $M_B$ slightly above the percolation threshold.

Affiliated with

Also associated with

No associations

Rating

Dependence of Conductance on Percolation Backbone Mass 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 Dependence of Conductance on Percolation Backbone Mass, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dependence of Conductance on Percolation Backbone Mass will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179503