# Dynamics of Clusters in Two-dimensional Potts Model

## TL;DR

This paper investigates how clusters evolve during relaxation in the 2D Potts model, using cluster algorithms to analyze the relationship between cluster dynamics and phase transition nature.

## Contribution

It introduces a method to study phase transition types by examining cluster size and formation velocity during early Monte Carlo simulation stages.

## Key findings

- Cluster size and formation velocity depend on transition order.
- Dependence varies with lattice size and number of states.
- Method offers an efficient way to classify phase transitions.

## Abstract

Dynamical behavior of the clusters during relaxation is studied in two-dimensional Potts model using cluster algorithm. Average cluster size and cluster formation velocity are calculated on two different lattice sizes for different number of states during initial stages of the Monte Carlo simulation. Dependence of these quantities on the order of the transition provides an efficient method to study nature of the phase transitions occuring in similar models.