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Critical behavior of long linear k-mers on honeycomb lattices

Matoz-Fernandez, D.A.; Linares, D.H.; Ramirez-Pastor, A.J. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 26, pp. 6513-6525

transition belongs to the 2D three-state Potts universality class. …

Persistent link: https://www.econbiz.de/10011057004

Random matrix theory in lattice statistical mechanics

Anglès d'Auriac, J.-Ch; Maillard, J.-M - In: Physica A: Statistical Mechanics and its Applications 321 (2003) 1, pp. 325-333

In this short note we collect together known results on the use of random matrix theory (RMT) in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and secondly it appears to be an effective tool to find...

Persistent link: https://www.econbiz.de/10010591146

Potts model with q=4,6, and 8 states on Voronoi–Delaunay random lattice

Lima, F.W.S. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 16, pp. 3039-3047

Through Monte Carlo simulations we study the 2D Potts models with q=4,6 and 8 states on Voronoi–Delaunay random lattice … are present. In the Potts model with q=8 we also studied the distribution of cluster sizes. …

Persistent link: https://www.econbiz.de/10011063357