Abstract
The two-point cluster function C2(r1,r2) is determined for a D-dimensional interpenetrable-sphere continuum model from Monte Carlo simulations. C2(r1,r2) gives the probability of finding two points, at positions r1 and r2, in the same cluster of particles, and thus provides a measure of clustering in continuum-percolation systems. A pair of particles are said to be "connected" when they overlap. Results are reported for D = 1,2, and 3 at selected values of the sphere number density ρ and of the impenetrability index λ, 0≤λ≤1. The extreme limits λ = 0 and 1 correspond, respectively, to the cases of fully penetrable spheres ("Swiss-cheese" model) and totally impenetrable spheres.
Original language | English (US) |
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Pages (from-to) | 1173-1178 |
Number of pages | 6 |
Journal | The Journal of chemical physics |
Volume | 91 |
Issue number | 2 |
DOIs | |
State | Published - 1989 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy
- Physical and Theoretical Chemistry