Avalanches, extreme events, and finite size effects

Physics – Plasma Physics

Scientific paper

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[2788] Magnetospheric Physics / Magnetic Storms And Substorms, [7839] Space Plasma Physics / Nonlinear Phenomena, [7857] Space Plasma Physics / Stochastic Phenomena, [4318] Natural Hazards / Statistical Analysis

Scientific paper

Bursty transport and energy release are key characteristics of driven, dissipative, out of equilibrium systems, and are ubiquitous in laboratory, space and astrophysical plasmas. This class of phenomenology can be captured, at least in a macroscopic sense, by avalanche models, which algorithmically support a separation of timescales between (slow) driving and (fast) redistribution. A hallmark of avalanche models is the statistical scaling of burst measures in the limit where the system size is large. Importantly, observable physical systems, such as the corona and earth's magnetosphere, are finite sized- they can support at most a few decades in spatial scale. How finite size effects modify the statistical scaling of such natural systems is an open question and in itself is an observable that may inform our understanding. In particular, finite size effects have impact on the statistics and dynamics of the largest (systemwide) events that these systems can support. It is precisely these extreme events which are often of paramount interest from an operational point of view. By referring both to simple models for SOC and to data we will discuss the quantitative statistical properties of bursty energy release (avalanches) for i) events that are small on the scale size of the system - with respect to these events the system is in the large system size limit- and ii) events that are 'systemwide' in scale. We will compare and contrast the quantitative statistical signatures of systems close to SOC with other systems showing bursty dynamics, in particular finite size turbulence.

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