The clustering and percolation of particles in binary mixtures of randomly centered spheres are examined based on a selective particle connectivity criterion in which only particles of different species are allowed to form directly connected bonds. This problem is different from the usually studied "simple" percolation problem in which pairs of particles form directly connected bonds as long as they are separated by a distance σ or less. The percolation threshold and pair-connectedness function of the binary mixture are determined based on the connectivity Ornstein-Zernike integral equation in the Percus-Yevick (PY) approximation. It is shown that, within the PY closure, the present system can be mapped into the Widom-Rowlinson model in the theory of liquid state. The percolation thresholds and the pair-connectedness functions of the particles are numerically computed for a wide range of particle densities and number fractions. It is found that their percolation densities differ considerably from those found in the simple percolation problem for a binary mixture of randomly centered spheres. To our knowledge, this is the first study of selective particle clustering and percolation in multicomponent mixtures of particles.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry