2011
DOI: 10.4028/www.scientific.net/amm.110-116.299
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Stochastic Trajectories of Beads in the Galton-Board

Abstract: The Galton´s board is a periodic lattice with fixed nails at its nodes, spherical grains travel through them due to gravity. This system is commonly used to show the central limit theorem when a big quantity of grains fall down from the upper edge. We show the convenience of this system to present the main concepts of Markovian-stochastic motion of only one particle.

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“…It has served as a theoretical model for deterministic diffusion in systems ranging from porous media, to conduction in condensed matter, to chaotic scattering . At the same time, a GB has served as a physical model for diffusive mixing of granular materials …”
Section: Introductionmentioning
confidence: 99%
“…It has served as a theoretical model for deterministic diffusion in systems ranging from porous media, to conduction in condensed matter, to chaotic scattering . At the same time, a GB has served as a physical model for diffusive mixing of granular materials …”
Section: Introductionmentioning
confidence: 99%