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

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 -> infinity) to a common expression recently derived (Maestre and Santos 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.

Automated summary

This study revisits the equilibrium properties of a Janus fluid made of two-face particles confined to a one-dimensional channel, deriving the exact Gibbs free energy for a finite number of particles N and proving that the results for both classes of systems tend to a common expression in the thermodynamic limit. The theoretical finite-size results are confirmed by Monte Carlo simulations for the Kern-Frenkel model in both quenched and annealed systems.