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Pointy ice-drops: How water freezes into a singular shape

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AMERICAN JOURNAL OF PHYSICS
卷 80, 期 9, 页码 764-771

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AMER ASSOC PHYSICS TEACHERS
DOI: 10.1119/1.4726201

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A water drop that is gently deposited on a very cold surface freezes into a pointy ice-drop with a very sharp tip. The formation of this singular shape originates from the reduction of mass density during the freezing process and can be explained using a simplified model for which the universal structure of the singularity is revealed in full detail. The combination of a relatively simple, static experiment, and the accessible asymptotic analysis makes this system an ideal introduction to the topic of singularities. (C) 2012 American Association of Physics Teachers. [http://dx.doi.org/10.1119/1.4726201]

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