The Landau Fermi-liquid theory is generalized for a system of fermions with
a "color degree of freedom" (quark plasma). It is shown that the phase tra
nsition to color ordering state may occur depending on the change in thermo
dynamic parameters similar to a magnetic phase transition taking place for
fermions with spin. The problem of thermodynamic stability of color and mag
netic ordered Fermi-liquids is considered. It is shown that the stable colo
r-ordered state of the plasma light quarks (u, d quarks) can be at the dens
ity n similar to 10(37) cm(-3) and the temperature T similar to 100MeV. (C)
1999 Elsevier Science B.V. Ail rights reserved.