Scaling with respect to disorder in time-to-failure

Details Scaling with respect to disorder in time-to-failure Scaling with respect to disorder in time-to-failure

1997-07-10

arxiv.org/abs/cond-mat/9707114v1

European Physical Journal B 1, 353-357 (1998)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 2 figures, submitted to J.Phys.I (France)

Scientific paper

10.1007/s100510050194

We revisit a simple dynamical model of rupture in random media with long-range elasticity to test whether rupture can be seen as a first-order or a critical transition. We find a clear scaling of the macroscopic modulus as a function of time-to-rupture and of the amplitude of the disorder, which allows us to collapse neatly the numerical simulations over more than five decades in time and more than one decade in disorder amplitude onto a single master curve. We thus conclude that, at least in this model, dynamical rupture in systems with long-range elasticity is a genuine critical phenomenon occurring as soon as the disorder is non-vanishing.

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