The previous discussion focused on single aerosol particles. In contrast, aerosol dynamics explains the evolution of complete aerosol populations. The concentrations of particles will change over time as a result of many processes. External processes that move particles outside a volume of gas under study include diffusion, gravitational settling, and electric charges and other external forces that cause particle migration. A second set of processes internal to a given volume of gas include particle formation (nucleation), evaporation, chemical reaction, and coagulation.
A differential equation called the Aerosol General Dynamic Equation (GDE) characterizes the evolution of the number density of particles in an aerosol due to these processes.
Change in time = Convective transport + brownian diffusion + gas-particle interactions + coagulation + migration by external forces
Where:
: is number density of particles of size category 
: is the particle velocity
: is the particle Stokes-Einstein diffusivity
: is the particle velocity associated with an external force