Burst distribution in noisy fiber bundles and fuse models

We study the burst distribution in the fiber bundle model and the fuse model when noise is added to the thresholds, i.e., when the threshold values vary around a fixed value as the breakdown proceeds. The burst distribution follows a power law in the noisy system, but with the exponent τ changed compared to the standard models without noise. The value of τ changes near failure in the noisy models as in the models without noise, hence signaling imminent breakdown.