Normalized entropy density of the 3D 3-state Potts model

TL;DR

This study uses Monte Carlo simulations to analyze the entropy density and phase transition properties of the 3D 3-state Potts model, providing new estimates for transition temperature and interface tension.

Contribution

Introduces a novel reweighting procedure to estimate entropy and energy endpoints at the phase transition in the 3D 3-state Potts model.

Findings

Calculated the infinite volume entropy density s(β)

Estimated transition temperature and interface tension

Found that interface tension increases with capillary wave considerations

Abstract

Using a multicanonical Metropolis algorithm we have performed Monte Carlo simulations of the 3D 3-state Potts model on $L^3$ lattices with L=20, 30, 40, 50. Covering a range of inverse temperatures from $\beta_{\min}=0$ to $\beta_{\max}=0.33$ we calculated the infinite volume limit of the entropy density $s(\beta)$ with its normalization obtained from $s(0)=\ln 3$. At the transition temperature the entropy and energy endpoints in the ordered and disordered phase are estimated employing a novel reweighting procedure. We also evaluate the transition temperature and the order-disorder interface tension. The latter estimate increases when capillary waves are taken into account.