# 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.

## Key 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.

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Source: https://tomesphere.com/paper/hep-lat/9509066