Rev.Adv.Mater.Sci. (RAMS)
No 2, Vol. 23, 2010, pages 141-146

STATISTICAL DESCRIPTION OF DOMAINS IN THE POTTS MODEL

K. Lukierska-Walasek and K. Topolski

Abstract

The Zipf power law and its connection with the inhomogeneity of the system is investigated. We describe the statistical distributions of domain masses in the Potts model near the temperature-induced phase transition. We found that the statistical distribution near the critical point is described by the power law form with a long tail, while beyond the critical point the power law tail is suppressed.

full paper (pdf, 544 Kb)