Probability distribution of the resistance of a random network
Thomas Callaghan, Joseph B. Keller
TL;DR
This paper calculates the probability density function of resistance in a 2D random network with a lattice structure, using Monte Carlo simulations to analyze the distribution of resistances between two plates.
Contribution
It introduces a method to determine the resistance distribution in a 2D lattice network with random edge resistances using Monte Carlo simulations.
Findings
Resistance distribution can be effectively modeled using Monte Carlo methods.
The probability density function of the network's resistance is characterized.
Insights into the variability of resistance in random lattice networks.
Abstract
The probability density of the resistance of a two dimensional rectangular network between two conducting plates is calculated. The nodes form an by lattice, and each edge has a random resistance. The Monte Carlo method is used.
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Taxonomy
TopicsGraph theory and applications · Complex Network Analysis Techniques