Exploring different regimes in finite-size scaling of the droplet condensation-evaporation transition

Abstract

We present a finite-size scaling analysis of the droplet condensation-evaporation transition of a lattice gas (in two and three dimensions) and a Lennard-Jones gas (in three dimensions) at fixed density. Parallel multicanonical simulations allow sampling of the required system sizes with precise equilibrium estimates. In the limit of large systems, we verify the theoretical leading-order scaling prediction for both the transition temperature and the finite-size rounding. In addition, we present an emerging intermediate scaling regime, consistent in all considered cases and with similar recent observations for polymer aggregation. While the intermediate regime locally may show a different effective scaling, we show that it is a gradual crossover to the large-system scaling behavior by including empirical higher-order corrections. This implies that care has to be taken when considering scaling ranges, possibly leading to completely wrong predictions for the thermodynamic limit. In this study, we consider a crossing of the phase boundary orthogonal to the usual fixed temperature studies. We show that this is an equivalent approach and, under certain conditions, may show smaller finite-size corrections.

12 pages, 9 figures, to appear in Phys. Rev. E

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• Finite-size scaling analysis of protein droplet formation
• Transition barrier at a first-order phase transition in the canonical and microcanonical ensemble
• Finite-size scaling of Lennard-Jones droplet formation at fixed density
• Numerical test of finite-size scaling predictions for the droplet condensation-evaporation transition
• From particle condensation to polymer aggregation
• The Droplet Formation-Dissolution Transition in Different Ensembles: Finite-Size Scaling from Two Perspectives
• Phenomenological theory of the Potts model evaporation-condensation transition
• Shape characteristics of the aggregates formed by amphiphilic stars in water: dissipative particle dynamics study