Pair connectedness and mean cluster size for continuum-percolation models: Computer-simulation results

Journal Article · Tue Nov 15 00:00:00 EST 1988 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.455411· OSTI ID:6760779

Lee, S B; Torquato, S

We devise a new algorithm to obtain the pair-connectedness function P(r) for continuum-percolation models from computer simulations. It is shown to converge rapidly to the infinite-system limit, even near the percolation threshold, thus providing accurate estimates of P(r) for a wide range of densities. We specifically consider an interpenetrable-particle model (referred to as the penetrable-concentric-shell model) in which D-dimensional spheres (D = 2 or 3) of diameter sigma are distributed with an arbitrary degree of impenetrability parameter lambda, 0less than or equal tolambdaless than or equal to1. Pairs of particles are taken to be ''connected'' when the interparticle separation is less than sigma. The theoretical results of Xu and Stell for P(r) in the case of fully penetrable spheres (lambda = 0) are shown to be in excellent agreement with our simulations. We also compute the mean cluster size as a function of density and lambda for the case of 2D, and, from these data, estimate the respective percolation thresholds.

• Research Organization: Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
• OSTI ID: 6760779
• Journal Information: J. Chem. Phys.; (United States), Vol. 89:10
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AGGLOMERATION
PAIRING INTERACTIONS
STATISTICAL MECHANICS
COMPUTERIZED SIMULATION
NUCLEATION
PARTICULATES
SIZE
INTERACTIONS
MECHANICS
PARTICLES
SIMULATION
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)