Decomposition in a multicomponent insulating compound with a considera
ble Coulomb interaction between ions is considered. A specific situati
on where decomposition occurs due to redistribution of ions of the sam
e sign (either cations or anions) whereas all other atoms form an immo
bile frame is discussed. Such a situation may occur if a diffusivity o
f the ions of the same sign is much higher than that of atoms comprisi
ng the frame. It is shown that under these conditions the decompositio
n results in solid-state colloidal equilibrium. The colloidal state is
formed by an array of coherent precipitate phase particles imbedded i
nto a parent phase matrix. These particles are of the same stable size
. This size, as well the volume fraction of a precipitate phase and th
e equilibrium composiitons of precipitate and matrix phases, are deter
mined by the balance between electrostatic and interfacial energies. T
he balance proves to be dependent on overall stoichiometry. This situa
tion drastically differs from the conventional situation where the com
positions of coexisting equilibrium phases do not depend on overall st
oichiometry of a system (the lever rule is valid) and where the coarse
ning process always occurs. The proposed model is applied to relaxor f
erroelectrics to explain occurrence of a mesoscopic inhomogeneous stru
cture that does not undergo coarsening.