PMID: 11909056Mar 23, 2002Paper

Phase transition analogous to Bose-Einstein condensation in systems of noninteracting surfactant aggregates

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
José A Cuesta, Richard P Sear

Abstract

Ideal bosons and a classical system of monomers that aggregate forming noninteracting ring polymers are known to have the same partition function. So, the ring polymers have a phase transition, the analogue of Bose-Einstein condensation of bosons. At this phase transition macroscopic polymers are formed. The link between these systems is made via Feynman's path integrals: these integrals are the same for the trajectories of the bosons in imaginary time and for the configurations of the polymers. We show that a transition of this general form occurs within a whole class of aggregating systems. Examples are the lamellae formation in suspensions of disclike micelles or the emulsification failure observed in water-oil-surfactant emulsions. As with bosons, the transition occurs even when aggregates do not interact. The lambda-transition in 4He is believed to be Bose-Einstein condensation modified by interatomic interactions. We suggest that interaggregate interactions too only modify the transition we have found.

References

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Citations

Jan 19, 2010·The Journal of Chemical Physics·M R EvansE Trizac
Aug 3, 2012·The Journal of Chemical Physics·José Maria TavaresFrancesco Sciortino
Sep 11, 2009·The Journal of Chemical Physics·N Shimokawa, S Komura
Apr 17, 2014·The Journal of Chemical Physics·Teun VissersFrancesco Sciortino
Jun 11, 2004·Biophysical Journal·Willem K Kegel, Paul van der Schoot Pv
Jan 11, 2008·Physical Biology·Paul van der Schoot, Roya Zandi
May 24, 2011·Physical Review Letters·Pablo Maynar, Emmanuel Trizac
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J M TavaresM M Telo da Gama
Jul 21, 2006·The Journal of Physical Chemistry. B·D Izzo, C M Marques

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