When a low-viscosity fluid is injected into an elastic material, it forces its way through by making slender cracks, in a random, fractal pattern. The spreading of the cracks can be modelled through a series of 'bursts'.
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Kadanoff, L. Bursting apart. Nature 421, 124–125 (2003). https://doi.org/10.1038/421124a
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DOI: https://doi.org/10.1038/421124a