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 propose an explanation for recent observations that the probability distribution of turbulent power fluctuations in closed flows is the same as that of the harmonic 2DXY model.
Physical Review Letters
- Pub Date:
- February 2001
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Pattern Formation and Solitons
- 4 pages, 2 figures, Comment on dynamic universality class revised