Structural properties of hard-disk fluids under single-file confinement

Abstract

The structural properties of confined single-file hard-disk fluids are studied analytically by means of a mapping of the original system onto a one-dimensional mixture of non-additive hard rods, the mapping being exact in the polydisperse limit. Standard statistical-mechanical results are used as a starting point to derive thermodynamic and structural properties of the one-dimensional mixture, where the condition that all particles have the same chemical potential must be taken into account. Analytical results are then provided for the $n$th neighbor probability distribution function, the radial distribution function, and the structure factor, a very good agreement being observed upon comparison with simulation data from the literature. Moreover, we have analyzed the scaling form for the disappearance of defects in the zigzag configuration for high pressure, and have obtained the translational correlation length and the structural crossover in the oscillation frequency for asymptotically large distances.

arXiv comment15 pages, 12 figures; v2: new subsections and 4 new figures added; v3: minor changes

References in corpus (26)

• Structural anomalies for a three dimensional isotropic core-softened potential
• Inhomogeneous hard-sphere mixtures: Manifestations of structural crossover
• Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
• Static and dynamical properties of a hard-disk fluid confined to a narrow channel
• Structural properties of hard disks in a narrow tube
• Glass-like behavior of a hard-disk fluid confined to a narrow channel
• Structural and Thermodynamic Properties of Hard-Sphere Fluids
• Hard Disks in Narrow Channels
• Role of initial conditions in $1D$ diffusive systems: compressibility, hyperuniformity and long-term memory
• Exact bulk correlation functions in one-dimensional nonadditive hard-core mixtures
• Correlation lengths in quasi-one-dimensional systems via transfer matrices
• Percus-Yevick theory for the structural properties of the seven-dimensional hard-sphere fluid
• Triangle-Well and Ramp Interactions in One-Dimensional Fluids: A Fully Analytic Exact Solution
• Transverse excitations and zigzag transition in quasi-1D hard-disk system
• Marginally jammed states of hard disks in a one-dimensional channel
• Towards understanding the ordering behavior of hard needles: New analytical solutions in one dimension
• Thermodynamic, Dynamic, Structural and Excess Entropy Anomalies for core-softened potentials
• Equation of state of hard-disk fluids under single-file confinement
• Comment on "Kosterlitz-Thouless-type caging-uncaging transition in a quasi-one-dimensional hard disk system" [Phys. Rev. Research 2, 033351 (2020)]
• Analytical canonical partition function of a quasi-one dimensional system of hard disks
• One-dimensional fluids with second nearest-neighbor interactions
• Density and structural anomalies in soft-repulsive dimeric fluids
• Structural properties of liquids in extreme confinement
• One-dimensional Janus fluids. Exact solution and mapping from the quenched to the annealed system
• Structural properties of additive binary hard-sphere mixtures. II. Asymptotic behavior and structural crossovers
• Correlation functions and ordering in a quasi-one dimensional system of hard disks from the exact canonical partition function

Cited by in corpus (10)

• Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
• Exact equilibrium properties of square-well and square-shoulder disks in single-file confinement
• Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid
• Ordering properties of anisotropic hard bodies in one-dimensional channels
• Monte Carlo simulation of Hard-, Square-Well, and Square-Shoulder Disks in narrow channels
• Exact anisotropic properties of hard spheres in narrow cylindrical confinement
• Orientational ordering and correlations in a quasi-one-dimensional hard-dumbbell fluid
• Algebraic to exponential decay of spatial correlations in one-dimensional and confined hard-core fluids: A Laplace-pole analysis
• Hard disks confined within a narrow channel
• Inhomogeneous Diffusion in Confined Colloidal Suspensions