The effects of Plateau borders in the two-dimensional soap froth. II. General simulation and analysis of rigidity loss transition

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Abstract
We have developed a computational simulation of the two-dimensional soap froth, including finite Plateau borders. As the gas fraction фis decreased, there is a loss of rigidity at approximately ф=0·84, at which point the structure is that of a dense random packing of hard discs with contact number equal to four. This result and the general properties of the system are further illuminated by various elementary models and analogies.