Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-12-28
Nucl.Phys. B644 (2002) 495
Physics
Condensed Matter
Statistical Mechanics
17 pages, 8 figures, 1 table
Scientific paper
10.1016/S0550-3213(02)00681-8
Recent results concerning the topological properties of random geometrical sets have been successfully applied to the study of the morphology of clusters in percolation theory. This approach provides an alternative way of inspecting the critical behaviour of random systems in statistical mechanics. For the 2d q-states Potts model with q <= 6, intensive and accurate numerics indicates that the average of the Euler characteristic (taken with respect to the Fortuin-Kasteleyn random cluster measure) is an order parameter of the phase transition.
Blanchard Philippe
Fortunato Santo
Gandolfo Daniel
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