Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice

Details Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice

2009-03-18

arxiv.org/abs/0903.3111v2

J. Phys. A: Math. Theor. 42 (2009) 465001

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 2 figures

Scientific paper

Our study is based on the work of Stinchcombe [1974 \emph{J. Phys. C} \textbf{7} 179] and is devoted to the calculations of average conductivity of random resistor networks placed on an anisotropic Bethe lattice. The structure of the Bethe lattice is assumed to represent the normal directions of the regular lattice. We calculate the anisotropic conductivity as an expansion in powers of inverse coordination number of the Bethe lattice. The expansion terms retained deliver an accurate approximation of the conductivity at resistor concentrations above the percolation threshold. We make a comparison of our analytical results with those of Bernasconi [1974 \emph{Phys. Rev. B} \textbf{9} 4575] for the regular lattice.

Affiliated with

Also associated with

No associations

Rating

Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice 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 Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401395