Critical point calculation for binary mixtures of symmetric non-additive hard disks

TL;DR

This paper calculates critical packing fractions for symmetric non-additive hard disk mixtures, revealing entropically driven phase transitions using advanced Monte Carlo simulations and finite size scaling for high accuracy.

Contribution

It introduces a cluster Monte Carlo algorithm and extends the range of non-additivity parameters studied for critical packing fractions.

Findings

Critical packing fractions computed for various non-additivity parameters.

Phase transitions are entropically driven with zero internal energy.

High-accuracy finite size scaling results for infinite systems.

Abstract

We have calculated the values of critical packing fractions for the mixtures of symmetric non-additive hard disks. An interesting feature of the model is the fact that the internal energy is zero and the phase transitions are entropically driven. A cluster algorithm for Monte Carlo simulations in a semigrand ensemble was used. The finite size scaling analysis was employed to compute the critical packing fractions for infinite systems with high accuracy for a range of non-additivity parameters wider than in the previous studies.