Fluctuations in finite critical and turbulent systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 2 figures, Comment on dynamic universality class revised

Scientific paper

10.1103/PhysRevLett.86.1007

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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