Detailed description of time-dependent behavior of
multicomponent droplets is a necessary step in
understanding the aerosol processes in the Earth's
atmosphere. New experimental techniques for tracking
the changes in temperature and chemical composition of
small droplets (Lemoine and Castanet, 2013) extend the
requirements to the modern theory of droplet growth.
Multicomponent diffusion growth or evaporation of
a droplet, for which the influence of surface curvature on the equilibrium vapor pressure can be neglected,
proceeds with gradual approach to the stationary values
of the concentrations of components and temperature in
the droplet (Mattila et. al., 1997). The theory for the
early stage of condensation or evaporation of a droplet,
when size, temperature and composition of a droplet
change simultaneously and can affect each other, has not
been elaborated yet.
We present here a rigorous derivation of a new set
of equations for the size, composition and temperature of
a small multicompone