The computer ab initio simulation and analytical theory, that revealed
unexpected non-ergodic properties of a classical Coulomb plasma, is o
verviewed. The results of a many-charged-particles system simulation p
redict the possible existence of a real metastable plasma, supercooled
with respect to its ionization degree. The three-body recombination a
t this state is suppressed. The existence of such a plasma state is a
consequence of the entropy conservation in isolated Hamiltonian system
s free from any stochastic action from the outside (external stochasti
c disturbance). The occurrence of a metastable supercooled plasma (rat
her similar to a supercooled vapor or superheated liquid) depends on t
wo conditions: First, all the charged particles should behave exactly
according to the laws of classical mechanics (hence, most negatively-c
harged particles should preferably be heavy ions). Second, the plasma
ionization degree should be sufficiently high (> 10(-3)). It is shown
from thermodynamic consideration that a mixture of supercooled plasma
with a perfect (ideal) gas might form a plasmoid of the ball-lightning
type.