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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

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CiteScore 2016: 0.70

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Source Normalized Impact per Paper (SNIP) 2016: 0.908

Mathematical Citation Quotient (MCQ) 2016: 0.33

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Volume 10, Issue 3-4


Monte-Carlo simulation of the chord length distribution function across convex bodies, non-convex bodies and random media

Alain Mazzolo / Benoît Roesslinger
Published Online: 2008-05-09 | DOI: https://doi.org/10.1515/mcma.2004.10.3-4.443

The study of chord length distributions across various kinds of geometrical shapes, including stochastic mixtures, is a topic of great interest in many research fields ranging from ecology to neutronics. We have tried here to draw links between theoretical results and actual simulations for simple objects like disks, circular rings, spheres, hollow spheres, as well as for random media consisting of stochastic mono- or polydisperse spheres packing (three different packing algorithms were tested). The Monte Carlo simulations which were performed for simple objects fit perfectly theoretical formulas. For stochastic binary mixtures the simulations were still in rather good agreement with known analytical results.

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Published Online: 2008-05-09

Published in Print: 2004-12-01

Citation Information: Monte Carlo Methods and Applications mcma, Volume 10, Issue 3-4, Pages 443–454, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/mcma.2004.10.3-4.443.

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