Journal
PHYSICAL REVIEW LETTERS
Volume 110, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.145501
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- Norwegian Research Council
- University of Strasbourg
- ENS-Lyon
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We study the fluctuations of the global velocity V-l(t), computed at various length scales l, during the intermittent mode-I propagation of a crack front. The statistics converge to a non-Gaussian distribution, with an asymmetric shape and a fat tail. This breakdown of the central limit theorem (CLT) is due to the diverging variance of the underlying local crack front velocity distribution, displaying a power law tail. Indeed, by the application of a generalized CLT, the full shape of our experimental velocity distribution at large scale is shown to follow the stable Levy distribution, which preserves the power law tail exponent under upscaling. This study aims to demonstrate in general for crackling noise systems how one can infer the complete scale dependence of the activity-and extreme event distributions-by measuring only at a global scale. DOI: 10.1103/PhysRevLett.110.145501
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