@article{ref1,
title="Self-similar properties of avalanche statistics in a simple turbulent model",
journal="Philosophical transactions. Series A, Mathematical, physical, and engineering sciences",
year="2022",
author="Benzi, Roberto and Castaldi, Ilaria and Toschi, Federico and Trampert, Jeannot",
volume="380",
number="2218",
pages="e20210074-e20210074",
abstract="In this paper, we consider a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. In the statistical stationary regime, the behaviour of the kinetic energy is characterized by two well-defined phases: a laminar phase where the kinetic energy grows linearly for a (random) time [Formula: see text] followed by abrupt avalanche-like energy drops of sizes [Formula: see text] due to strong intermittent fluctuations of energy dissipation. We study the probability distribution [Formula: see text] and [Formula: see text] which both exhibit a quite well-defined scaling behaviour. Although [Formula: see text] and [Formula: see text] are not statistically correlated, we suggest and numerically checked that their scaling properties are related based on a simple, but non-trivial, scaling argument. We propose that the same approach can be used for other systems showing avalanche-like behaviour such as amorphous solids and seismic events. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.<p /> <p>Language: en</p>",
language="en",
issn="1364-503X",
doi="10.1098/rsta.2021.0074",
url="http://dx.doi.org/10.1098/rsta.2021.0074"
}