A mechanism is proposed for the growth of vesicles dispersed in a liquid solvent and a size distribution function is obtained for the vesicles, both from the first principles calculations. This distribution function is shown to be positively skewed and evolving in time obeying a Fokker-Planck type equation. It is shown that the critical radius of spherical vesicles dispersed in a liquid solvent will grow in time with an exponent of 0.25. A constant is suggested subsequently that characterizes how easily a vesicle can absorb amphiphiles into its periphery . Furthermore, the vesicle-growth is proven to be a Poisson process and the average half-life is obtained for this process by comparing the distribution function with experimental results .
A mechanism is proposed for the growth of vesicles dispersed in a liquid solvent and a size distribution function is obtained for the vesicles, both from the first principles calculations. This distribution function is shown to be positively skewed and evolving in time obeying a Fokker-Planck type equation. The critical size of the spherical vesicles is shown to grow in time with an exponent of 0.25. A constant is suggested that characterizes how easily a vesicle can absorb amphiphiles into its periphery .
R
It is shown that the critical radius of spherical vesicles dispersed in a liquid solvent will
The critical size of the spherical vesicles is shown to
D
subsequently
D
. Furthermore, the vesicle-growth is proven to be a Poisson process and the average half-life is obtained for this process by comparing the distribution function with experimental results