The transition from small to big unilamellar vesicles predicted by a P
oisson-Boltzmann Cell Model for the thermodynamics of a dilute phase o
f unilamellar charged vesicles is characterized. The radius as a funct
ion of experimental parameters is calculated and the coexistence regio
n of small and big vesicles is identified. We further investigate the
physical meaning in terms of simplified models, which allow for an ide
ntification of the role of parameters like the surface charge density
or the Debye-length. Connections to experiments are discussed.