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

Phys Rev E. 2016 Jun;93(6):062126. doi: 10.1103/PhysRevE.93.062126. Epub 2016 Jun 17.

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≤d≤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 a fractal dimension [M. Heinen et al., Phys. Rev. Lett. 115, 097801 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.097801], a good agreement being observed.

Publication types

  • Research Support, Non-U.S. Gov't