  We have considered the model of the phase transition of the second order for
the Coulomb frustrated 2D charged system. The coupling of the order parameter
with the charge was considered as the local temperature. We have found that in
such system, an appearance of the phase-separated state is possible. By
numerical simulation, we have obtained different types ("stripes", "rings",
"snakes") of phase-separated states and determined the parameter ranges for
these states. Thus the system undergoes a series of phase transitions when the
temperature decreases. First, the system moves from the homogeneous state with
a zero order parameter to the phase-separated state with two phases in one of
which the order parameter is zero and, in the other, it is nonzero ($\tau>0$).
Then a first-order transition occurs to another phase-separated state, in which
both phases have different and nonzero values of the order parameter (for
$\tau<0$). And only a further decrease of temperature leads to a transition to
a homogeneous ordered state.
