title: Particle connectedness and cluster formation in sequential depositions of particles: integral-equation theory.
abstract: We applied the integral-equation theory to the connectedness problem. The method originally applied to the study of continuum percolation in various equilibrium systems was modified for our sequential quenching model, a particular limit of an irreversible adsorption. The development of the theory based on the (quenched-annealed) binary-mixture approximation includes the Ornstein-Zernike equation, the Percus-Yevick closure, and an additional term involving the three-body connectedness function. This function is simplified by introducing a Kirkwood-like superposition approximation. We studied the three-dimensional (3D) system of randomly placed spheres and 2D systems of square-well particles, both with a narrow and with a wide well. The results from our integral-equation theory are in good accordance with simulation results within a certain range of densities.
authors.affiliation: Department of Chemical Engineering, Faculty of Engineering, Thammasat University, Klong-Luang, Pathumthani 12120, Thailand. dpanu@engr.tu.ac.th
authors.forename: Panu
authors.initials: P
authors.lastname: Danwanichakul
authors.forename: Eduardo D
authors.initials: ED
authors.lastname: Glandt