In a large number of experiments it is observed that the electrical conductivity of percolating networks increases with filling, p, as (p-p c)2, where Pc is the percolation threshold over a very broad range of p values. Our Monte Carlo simulations, however, suggest that this power law will only be valid for p<2pc, with a crossover to a scaling exponent of 1 for higher p values. To resolve this discrepancy we postulate that the experiments are dominated by contact resistance, and in this case we show that the percolation threshold-scaling exponent of 2 holds over an entire range of p values due to the accidental merger of two different scaling laws.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - May 2004|
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
Keblinski, P., & Cleri, F. (2004). Contact resistance in percolating networks. Physical Review B - Condensed Matter and Materials Physics, 69(18), -. . https://doi.org/10.1103/PhysRevB.69.184201