Measure of clustering in continuum percolation: Computer-simulation of the two-point cluster function

Journal Article · Sat Jul 15 00:00:00 EDT 1989 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.457190· OSTI ID:6090073

Lee, S B; Torquato, S

The two-point cluster function /ital C//sub 2/(/bold r//sub 1/,/bold r//sub 2/) is determined for a /ital D/-dimensional interpenetrable-sphere continuum model from Monte Carlo simulations. /ital C//sub 2/(/bold r//sub 1/,/bold r//sub 2/) gives the probability of finding two points, at positions /bold r//sub 1/ and /bold r//sub 2/, 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 /ital D/=1,2, and 3 at selected values of the sphere number density /rho/ and of the impenetrability index lambda, 0less than or equal tolambdaless than or equal to1. The extreme limits lambda=0 and 1 correspond, respectively, to the cases of fully penetrable spheres (''Swiss-cheese'' model) and totally impenetrable spheres.

• Research Organization: Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910(US); Department of Mechanical and Aerospace Engineering and Department of Chemical Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
• OSTI ID: 6090073
• Journal Information: J. Chem. Phys.; (United States), Vol. 91:2
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
COMPOSITE MATERIALS
AGGLOMERATION
MORPHOLOGY
COMPUTERIZED SIMULATION
HETEROGENEOUS EFFECTS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
PROBABILITY
MATERIALS
SIMULATION
400201* - Chemical & Physicochemical Properties