Abstract
We investigated the dynamical behavior of equilibrium micellar aggregates. We found the characteristic times associated with the processes of exchange between the free surfactants and aggregates in dilute solutions. We employed Monte-Carlo simulations on a two-dimensional lattice, each amphiphile molecule occupying three sites, while all the remaining sites of the lattice are filled with a single water molecule per site. For a fixed concentration of the amphiphiles, we studied the dependence of mean residence time of molecules in aggregates as a function of temperature and of the size of the aggregates. We showed that the distribution curves for the residence time and that for the aggregation number are closely related. In particular, we could also characterize the transition to a micellar state by the behavior of the representative curves of the mean residence times as a function of temperature.
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