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Spatio-temporal organization of correlated local activity within global avalanches in slowly driven interfaces

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We study the jerky response of slowly driven fronts in disordered media, just above the depinning transition. We focus on how spatially disconnected clusters of internally correlated activity lead to large-scale velocity fluctuations in the form of global avalanches, and identify three different ways in which local activity clusters may organize within a global avalanche, depending on distance to criticality. Our analysis provides new scaling relations between the power-law exponents of the statistical distributions of sizes and durations of local bursts and global avalanches. Fluid fronts of imbibition in heterogeneous media are taken as a case study to validate these scaling relations.

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Articles publicats en revistes (Física de la Matèria Condensada)

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Spatio-temporal organization of correlated local activity within global avalanches in slowly driven interfaces