2008/05/21 by Debashis Samanta, Bikas K. Chakrabarti, Samanta, Debashis +3
Engineering · Physics and Astronomy · #FOS: Physical sciences #Laser-induced spectroscopy and plasma #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0805.3235
An updated version will be published in "Quantum & Semiclassical Percolation & Breakdown in Disordered Solids". A. K. Sen, K. K. Bardhan and B. K. Chakrabarti (eds.), Springer (2008)
arxiv created 2008/05/21 · openalex publication_date 2008/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have discussed the classical failure of the fuse system, the dielectric breakdown and the quantum breakdown in the Anderson insulators. We have discussed how the extreme value statistics and the resulting Gumbel distribution arises in breakdown and failure processes, especially when the disorder concentration is low. At high concentration of disorder near the percolation threshold, we have discussed how the cross-over might take place from extreme value to percolation statistics. We have discussed the system size dependence that arises at the distribution of the failure current at low disordered regime. Finally, the extension of Zener breakdown phenomenon for band insulators to the disordered-induced Anderson insulators has been discussed.