Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results

TL;DR

This paper provides exact analytical results for the thermodynamic and structural properties of strongly confined hard-disk fluids, revealing anisotropic pressure behaviors and spatial correlations, validated by computer simulations.

Contribution

It introduces an exact mapping of confined hard disks to a one-dimensional polydisperse mixture, enabling precise calculations of pressure and correlation functions.

Findings

Exact equations of state for transverse and longitudinal pressures.

Detailed analysis of two-body correlation functions.

Validation of theoretical results through computer simulations.

Abstract

This study examines the transverse and longitudinal properties of hard disks confined in narrow channels. Employing an exact mapping of the system onto a one-dimensional polydisperse, nonadditive mixture of hard rods with equal chemical potentials, we compute various thermodynamic properties, including the transverse and longitudinal equations of state, along with their behaviors at both low and high densities. Structural properties are analyzed using the two-body correlation function and the radial distribution function, tailored for the highly anisotropic geometry of this system. The results are corroborated by computer simulations.