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Beer foam is a microstructure with complex interfaces. In other words: a cellular structure comprising networks of gas-filled bubbles separated by liquid. The walls of these bubbles move as a result of surface tension -- and the speed at which they move is related to the curvature of the bubbles. As a result of this movement, the bubbles merge and the structure "coarsens," meaning that the foam settles and eventually disappears.
Three-dimensional equations to calculate the movement have been made by Robert MacPherson, a mathematician at the Institute for Advanced Study in Princeton, New Jersey, and David Srolovitz, a physicist at Yeshiva University, New York.
They build on work by a computer pioneer, John von Neumann, who in 1952 devised an equation in two dimensions. The mathematics of beer-bubble behaviour are similar to the granular structure in metals and ceramics, so the equation also has an outlet in metallurgy and manufacturing as well as in pubs.
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