One-dimensional Janus fluids. Exact solution and mapping from the quenched to the annealed system

Abstract

The equilibrium properties of a Janus fluid confined to a one-dimensional channel are exactly derived. The fluid is made of particles with two faces (active and passive), so that the pair interaction is that of hard spheres, except if the two active faces are in front of each other, in which case the interaction has a square-well attractive tail. Our exact solution refers to quenched systems (i.e., each particle has a fixed face orientation), but we argue by means of statistical-mechanical tools that the results also apply to annealed systems (i.e., each particle can flip its orientation) in the thermodynamic limit. Comparison between theoretical results and Monte Carlo simulations for quenched and annealed systems, respectively, shows an excellent agreement.

arXiv comment34 pages, 12 figures; v2: several changes and two additional figures

References in corpus (8)

• Phase diagram of Janus Particles
• Direct Observation in 3d of Structural Crossover in Binary Hard Sphere Mixtures
• Triangle-Well and Ramp Interactions in One-Dimensional Fluids: A Fully Analytic Exact Solution
• Janus fluid with fixed patch orientations: theory and simulations
• A Numerical Test of a High-Penetrability Approximation for the One-Dimensional Penetrable-Square-Well Model
• Phase diagrams of Janus fluids with up-down constrained orientations
• One-dimensional fluids with second nearest-neighbor interactions
• Structural properties of additive binary hard-sphere mixtures

Cited by in corpus (4)

• Structural properties of hard-disk fluids under single-file confinement
• Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
• Exact anisotropic properties of hard spheres in narrow cylindrical confinement
• Finite-size effects and thermodynamic limit in one-dimensional Janus fluids