Transition between the Minimal Surfaces of Soap Films

1 Transition between the Minimal Surfaces of Soap Films 

Variation dL/ dx with x for the first order phase transition model and the equilibrium soap film configurations within the four-pin model, with the illustration of the corresponding energies with respect the configurations a and b. (a) Pair of pins are close to each other (b) pairs of pins are widely separated. Note that the lines in reality are two-dimensional, but their sizes do not change in the other dimension. 

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