Evaporation/condensation transition of the two dimensional Potts model in microcanonical ensemble

TL;DR

This paper investigates the evaporation and condensation transition in the two-dimensional Potts model within the microcanonical ensemble, revealing size-dependent discrete transitions and confirming theoretical predictions through numerical scaling analysis.

Contribution

It provides the first detailed numerical analysis of the Potts model's phase transition behavior in the microcanonical ensemble, including finite size scaling and comparison with phenomenological theory.

Findings

Discrete transition between supersaturation and phase-separation states observed

Finite size scaling indicates convergence to theoretical infinite size limit

Microcanonical temperature and condensation ratio calculated and analyzed

Abstract

Evaporation/condensation transition of the Potts model on square lattice is numerically investigated by the Wang-Landau sampling method. Intrinsically system size dependent discrete transition between supersaturation state and phase-separation state is observed in the microcanonical ensemble by changing constrained internal energy. We calculate the microcanonical temperature, as a derivative of microcanonical entropy, and condensation ratio, and perform a finite size scaling of them to indicate clear tendency of numerical data to converge to the infinite size limit predicted by phenomenological theory for the isotherm lattice gas model.