Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-01-20
Physica A 340(1-3) 380 (2004)
Physics
Condensed Matter
Statistical Mechanics
8 pages, 6 figures; accepted for publication on Physica A
Scientific paper
10.1016/j.physa.2004.04.030
The distribution of resistance fluctuations of conducting thin films with granular structure near electrical breakdown is studied by numerical simulations. The film is modeled as a resistor network in a steady state determined by the competition between two biased processes, breaking and recovery. Systems of different sizes and with different levels of internal disorder are considered. Sharp deviations from a Gaussian distribution are found near breakdown and the effect increases with the degree of internal disorder. However, we show that in general this non-Gaussianity is related to the finite size of the system and vanishes in the large size limit. Nevertheless, near the critical point of the conductor-insulator transition, deviations from Gaussianity persist when the size is increased and the distribution of resistance fluctuations is well fitted by the universal Bramwell-Holdsworth-Pinton distribution.
Alfinito Eleonora
Pennetta Cecilia
Reggiani Letizia
Ruffo Stefano
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