Stochastic Trajectories of Beads in the Galton-Board

M. Nuñez; A. López Villa; C. A. Vargas; A. Medina

doi:10.4028/www.scientific.net/AMM.110-116.299

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 110-116Stochastic Trajectories of Beads in the...

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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Periodical:

Applied Mechanics and Materials (Volumes 110-116)

Pages:

299-309

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.110-116.299

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Online since:

October 2011

Authors:

M. Nuñez, A. López Villa, C. A. Vargas, A. Medina

Keywords:

Galton Board, Langevin Equation, Stochastic Processes

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