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

TL;DR

This study uses Monte Carlo simulations to investigate how quenched disorder in coordination number affects the phase transition of the 2D eight-state Potts model on random lattices, finding it remains first order.

Contribution

It provides new evidence that quenched disorder does not change the first-order nature of the phase transition in this model.

Findings

Phase transition remains first order on random lattices.

Quenched disorder does not alter the transition type.

Monte Carlo simulations support the robustness of the first-order transition.

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.