Figure 2.
Avalanche statistics generated by the model at (a–b, e–g) and at (c-d,h-j), with and and for the extrinsic model. (a–b) Comparison between the trajectories of , and the corresponding discretization in the low- regime for (a) the extrinsic model and (b) the interacting one. (c–d) Same, but in the high- regime. (e–g) If is low, avalanches are power-law distributed with almost identical exponents in the extrinsic and interacting model, , and , . The crackling-noise relation is verified in both cases. (h–j) Same plots, now in the high- regime. Avalanches are now fitted with an exponential distribution. Notice that larger events, corresponding to periods in which , show up in the distributions’ tails, suggesting that the shift between exponentials and power-laws is smooth. (j) The average avalanche size as a function of the duration scales with an exponent that, as increases, becomes closer to the trivial one .