# Softening Transitions with Quenched 2D Gravity

## TL;DR

This study uses Monte Carlo simulations to show that quenched 2D gravity graphs soften the first-order phase transition of the 10-state Potts model into a continuous transition due to quenched randomness.

## Contribution

It provides numerical evidence that quenched connectivity disorder can change the nature of phase transitions in 2D Potts models.

## Key findings

- First-order transition is softened to continuous transition by quenched disorder.
- Strong numerical evidence supports the transition change.
- Quenched randomness influences phase transition order.

## Abstract

We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional $\Phi^3$ gravity graphs to study the effect of quenched connectivity disorder on the phase transition, which is strongly first order on regular lattices. The numerical data provides strong evidence that, due to the quenched randomness, the discontinuous first-order phase transition of the pure model is softened to a continuous transition.