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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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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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The motion of the upper free surface of a liquid column released from rest in a vertical, conical container is analyzed theoretically and experimentally. An inviscid, one-dimensional model, for a slightly expanding pipe's radius, describes how the recently reported super free fall of liquids occurs in liquids of very low viscosity. Experiments agree with the theoretical results.

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