The dynamics of self-assembling systems were investigated for the model amphiphile A(2)B(2) using stochastic dynamic simulations. Temperature jump computer "experiments" were performed and the evolution of the system to its new equilibrium state monitored, The results were interpreted based on the Aniansson-Wall theory of micellar kinetics, The transient behavior predicted using the Aniansson-Wall theory agrees well with the simulated data, particularly at short times. At long times, deviations are observed which may be ascribed to errors in estimating the dissociation rate and number density of aggregates in the all important micelle-depleted zone. The micellar dissociation constant was calculated from independent tagging simulations. The amphiphile exit rate constant was calculated at different temperatures from which an activation energy associated with the removal of a surfactant chain from a micelle was found to be of order 10-15 kT and to be independent of the friction coefficient. Finally the Helmholtz free energy profile associated with the extraction of a surfactant chain from a micelle was determined. A free energy barrier height of order 5 kT was obtained. Kramers' rate theory was employed to determine the corresponding exit rate constant which was found to be in excellent agreement with the results obtained from tagging runs, the barrier height associated with the insertion of a surfactant chain was order 1 kT, suggesting that the association process is diffusion controlled.