Monte Carlo Study of 8-State Potts Model on 2D Random Lattices

Abstract

We study the effect of quenched coordination-number disorder of random lattices on the nature of the phase transition in the two-dimensional eight-state Potts model, which is of first order on regular lattices. We consider Poissonian random lattices of toroidal topology constructed according to the Voronoi/Delaunay prescription. Monte Carlo simulations yield strong evidence that the phase transition remains first order.

4 pages, PostScript, contribution to LATTICE95. See also http://www.cond-mat.physik.uni-mainz.de/~janke/doc/home_janke.html

References in corpus (3)

• Single-Cluster Monte Carlo Study of the Ising Model on Two-Dimensional Random Lattices
• New critical phenomena in 2d quantum gravity
• Random bond Ising chain in a transverse magnetic field: A finite-size scaling analysis

Cited by in corpus (4)

• Ising model on 3D random lattices: A Monte Carlo study
• Non-Self Averaging in Autocorrelations for Potts Models on Quenched Random Gravity Graphs
• Possible effects of tilt order on phase transitions of a fixed connectivity surface model
• Softening Transitions with Quenched 2D Gravity