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Article Dans Une Revue Physical Review Letters Année : 1994

Growth laws for 3D soap bubbles

Clément Sire

Résumé

Von Neumann's law for 2D soap froth states that the growth rate of a bubble with n sides is proportional to n-6, and does not depend on other details of its shape. I have generalized this relation to 3D by means of an approximate geometrical model invoking maximal entropy considerations. The resulting generalized growth law is VF-1/3dVF/dt=scrF(F), where F is the number of faces of a bubble of volume VF, and scrF is an increasing, almost linear function, of F only. This function vanishes for F=F0, with F0 in the range 15.7-16.1, depending on the degree of sophistication of the model. The theory reproduces fairly well a recent numerical result which indicates VF-1/3dVF/dt=κ[f-(15.8±0.1)].
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hal-00123749 , version 1 (10-01-2007)

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Clément Sire. Growth laws for 3D soap bubbles. Physical Review Letters, 1994, 72, pp.420. ⟨10.1103/PhysRevLett.72.420⟩. ⟨hal-00123749⟩
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