We show that the distribution function of the logarithm of the resistance for the fluctuating variable-range (Mott) hopping conduction in finite one-dimensional wires can be well fitted by either the inverse Gaussian or the log-normal distributions, both reduced to a slightly skewed normal distribution for the relevant values of parameters. We also explain the large fluctuations from wire to wire of the variance of the logarithm of the resistance in terms of simple sampling statistics.

• Received 17 February 1989

DOI:https://doi.org/10.1103/PhysRevB.40.1250