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Fluctuations in finite critical and turbulent systems

Vivek Aji·Nigel Goldenfeld
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Abstract

We show that hyperscaling and finite-size scaling imply that the probability distribution of the order parameter in finite size critical systems exhibit data collapse. We consider the examples of equilibrium critical systems, and a statistical model of ecology. We explain recent observations that the probability distribution of turbulent power fluctuations in closed flows is the same as that of the harmonic 2DXY model.

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Vivek Aji, Nigel Goldenfeld. 2000-08-31. Fluctuations in finite critical and turbulent systems. https://doi.org/10.1103/physrevlett.86.1007

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