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.
In this work, we theoretically and experimentally study the issue of the spontaneous capillary rise of a viscous liquid in wedge-shaped tilted cells, with very short angles of aperture, α. We provide the equilibrium profiles yse and, by means of the Reynolds lubrication equations, we find the time-dependent profiles and the dynamic evolution of the meniscus close to the edge of the wedge, as a function of time, which follow power laws of the form ys ∼ t 1/3 . Experiments performed at various inclinations are consistent with our theoretical results.
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