Finite-size effects and thermodynamic limit in one-dimensional Janus fluids

TL;DR

This paper derives exact finite-size thermodynamic properties of one-dimensional Janus fluids and confirms the results with simulations, showing convergence to known thermodynamic limits.

Contribution

It provides the exact finite-size Gibbs free energy for one-dimensional Janus fluids and demonstrates the convergence to the thermodynamic limit for both quenched and annealed systems.

Findings

Exact finite-size Gibbs free energy derived

Results confirmed by Monte Carlo simulations

Convergence to thermodynamic limit shown

Abstract

The equilibrium properties of a Janus fluid made of two-face particles confined to a one-dimensional channel are revisited. The exact Gibbs free energy for a finite number of particles $N$ is exactly derived for both quenched and annealed realizations. It is proved that the results for both classes of systems tend in the thermodynamic limit ($N\to\infty$) to a common expression recently derived (Maestre M A G and Santos A 2020 J Stat Mech 063217). The theoretical finite-size results are particularized to the Kern--Frenkel model and confirmed by Monte Carlo simulations for quenched and (both biased and unbiased) annealed systems.