Numerical test of finite-size scaling predictions for the droplet condensation-evaporation transition

TL;DR

This paper numerically investigates finite-size effects in the droplet condensation-evaporation transition in 2D, comparing approaches at fixed temperature and density, and validating analytical finite-size correction predictions.

Contribution

It introduces a comparative numerical analysis of finite-size scaling in the droplet transition using parallel multicanonical simulations and validates theoretical predictions.

Findings

Finite-size deviations match predicted corrections.

Equivalence between Ising model and lattice gas confirmed.

Transition parameters approach thermodynamic limit values.

Abstract

We numerically study the finite-size droplet condensation-evaporation transition in two dimensions. We consider and compare two orthogonal approaches, namely at fixed temperature and at fixed density, making use of parallel multicanonical simulations. The equivalence between Ising model and lattice gas allows us to compare to analytical predictions. We recover the known background density (at fixed temperature) and transition temperature (at fixed density) in the thermodynamic limit and compare our finite-size deviations to the predicted leading-order finite-size corrections.