SIMULATION AND CHARACTERIZATION OF RANDOM SYSTEMS OF HARD PARTICLES

Dietrich Stoyan

Abstract

This paper surveys methods for the simulation of random systems of hard particles, namely sedimentation and collective rearrangement algorithms, molecular dynamics, and Monte Carlo methods such as the Metropolis­ Hastings algorithm. Furthermore, some set-theoretic statistical characteristics are discussed: the covariance and topological descriptors such as specific connectivity numbers and Meck.e's morphological functions.

Keywords
connectivity number;covariance; Gibbs process; morphological function; packing; porous medium; random set; simulation

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DOI: 10.5566/ias.v21.pS41-S48

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)