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Updated: Jul 15, 2026

Transport of Surface-modified Carbon Nanotubes through a Soil Column
Published on: April 2, 2015
Transport and percolation theory in weighted networks
Guanliang Li1, Lidia A Braunstein, Sergey V Buldyrev
1Center for Polymer Studies, Boston University, Boston, Massachusetts 02215, USA.
Abstract:
We study the distribution P(sigma) of the equivalent conductance sigma for Erdös-Rényi (ER) and scale-free (SF) weighted resistor networks with N nodes. Each link has conductance g triple bond e-ax, where x is a random number taken from a uniform distribution between 0 and 1 and the parameter a represents the strength of the disorder. We provide an iterative fast algorithm to obtain P(sigma) and compare it with the traditional algorithm of solving Kirchhoff equations. We find, both analytically and numerically, that P(sigma) for ER networks exhibits two regimes: (i) A low conductance regime for sigma
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