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. 2014 Jan 15;4:3694. doi: 10.1038/srep03694

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When we consider fluctuations in the initial loads around their average value we observe that the transition is still abrupt but can happen in a region around the mean-field predictions (corresponding to Δ = 0). Full circles: results of simulation for 1000 links systems where, for each value of , 10 different realizations of the disorder in the initial loads are considered. Thick line: results for the mean field case where no fluctuations are present and all the initial loads are equal to . The shaded area highlights the region (roughly centred around the mean field transition) where the first order transition can occur.

Inline graphic — When we consider fluctuations in the initial loads around their average value we observe that the transition is still abrupt but can happen in a region around the mean-field predictions (corresponding to Δ = 0). Full circles: results of simulation for 1000 links systems where, for each value of , 10 different realizations of the disorder in the initial loads are considered. Thick line: results for the mean field case where no fluctuations are present and all the initial loads are equal to . The shaded area highlights the region (roughly centred around the mean field transition) where the first order transition can occur.