What do emulsification failure and Bose-Einstein condensation have in common?

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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7 pages, 1 figure, typeset with EUROTeX, uses epsfig

Scientific paper

10.1209/epl/i2001-00436-6

Ideal bosons and classical ring polymers formed via self-assembly, are known to have the same partition function, and so analogous phase transitions. In ring polymers, the analogue of Bose-Einstein condensation occurs when a ring polymer of macroscopic size appears. We show that a transition of the same general form occurs within a whole class of systems with self-assembly, and illustrate it with the emulsification failure of a microemulsion phase of water, oil and surfactant. As with Bose-Einstein condensation, the transition occurs even in the absence of interactions.

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