Radial distribution function for hard spheres in fractal dimensions: A heuristic approximation

Abstract

Analytic approximations for the radial distribution function, the structure factor, and the equation of state of hard-core fluids in fractal dimension $d$ ($1\le d\le 3$) are developed as heuristic interpolations from the knowledge of the exact and Percus-Yevick results for the hard-rod and hard-sphere fluids, respectively. In order to assess their value, such approximate results are compared with those of recent Monte Carlo simulations and numerical solutions of the Percus-Yevick equation for fractal dimension [M. Heinen et al., Phys. Rev. Lett. \textbf{115}, 097801 (2015)], a good agreement being observed.

arXiv comment10 pages, 7 figures; v2: new paragraph added at the end of the conclusion section

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• Radial distribution function for hard spheres in fractal dimensions: A heuristic approximation

Cited by in corpus (5)

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• Radial distribution function for hard spheres in fractal dimensions: A heuristic approximation
• Extended Wertheim theory predicts the anomalous chain length distributions of divalent patchy particles under extreme confinement
• Residual Multiparticle Entropy for a Fractal Fluid of Hard Spheres
• Pair correlations of logarithms of integers