Simulated avalanche size distribution as a function of value. Same as on Fig. 5, see text for details. Insert is the evolution of the exponent of the avalanche size distribution (b value) as a function of the values. Two regimes correspond to the activation of shear and slab failures ( < 1, b ˆ f †) and shear failure alone, ( > 2, b ˆ constant). The finite scaling exponent used for central plot are Ds ˆ 1:1, ˆ 2:1; Ds ˆ 1:3, ˆ 1:4; Ds ˆ 1:4, ˆ 1 for values of 0.5, 1, 2, respectively.

Contexts in source publication

Context 1

... It progressively inhibits the slab failure, which will never occur for > 2. Accordingly it increases the probability to observe avalanches that are just driven by the shear failure mode leading to extreme events. They correspond to a departure from the power- law behavior as evidenced as a peak in the distribution close to the cutoff value (Fig. 6). The analysis of the finite size scaling (Fig. 6) suggests that the peak may result from a finite size effect that leads the system into a supercritical state, e.g., [20]. FIG. 5. Probability density of simulated avalanche size S for different system sizes, as measured by the C cluster sizes (starting zone areas); see text for details. ...

Context 2

... which will never occur for > 2. Accordingly it increases the probability to observe avalanches that are just driven by the shear failure mode leading to extreme events. They correspond to a departure from the power- law behavior as evidenced as a peak in the distribution close to the cutoff value (Fig. 6). The analysis of the finite size scaling (Fig. 6) suggests that the peak may result from a finite size effect that leads the system into a supercritical state, e.g., [20]. FIG. 5. Probability density of simulated avalanche size S for different system sizes, as measured by the C cluster sizes (starting zone areas); see text for details. Load increment values are 0 =4, where 0 is the ...