Summary: EUROPHYSICS LETTERS
Europhys. Lett., 25 (3), pp. 231-236 (1994)
20 January 1994
Phase Transitions between Vesicles and
Micelles Driven by Competing Curvatures.
D.ANDELMAN(*), M. M. KOZLOV(**)and W. HELFRICH(**)
(*) School of Physics and Astronomy
Raymond and Beverly Sackler Faculty of Exact Sciences
Tel Awiv University, Ramat Awiv, Tel Awiv 69978, Israel
(**) Institut fir Theoretische' Physik, WE2, Freie Universitat Berlin
Arnimallee 14, 0-14195 Berlin, G e m n y
(received 11 October 1993; accepted 30 November 1993)
PACS. 87.203 - Natural and artificial membranes (inc. immobilized enzymes).
PACS. 87.10 - General, theoretical and mathematical biophysics (inc. logic of biosystems,
quantum biology and relevant aspects of thermodynamics, information theory,
cybernetics, and bionics).
Abstract. -We present a model explaining the phase transition between cylindrical micelles and
vesicles (bilayers) in a mixed dilute solution of phospholipids and surfactants. The model predicts
a first-order transition between micelles and vesicles, which depends on the relative
concentration of the two components. The phase transition boundaries are calculated as a