Fluctuations in Finite Critical and Turbulent Systems
Abstract
We show that hyperscaling and finitesize scaling imply that the probability distribution of the order parameter in finitesize 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.
 Publication:

Physical Review Letters
 Pub Date:
 February 2001
 DOI:
 10.1103/PhysRevLett.86.1007
 arXiv:
 arXiv:condmat/0008243
 Bibcode:
 2001PhRvL..86.1007A
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Pattern Formation and Solitons
 EPrint:
 4 pages, 2 figures, Comment on dynamic universality class revised