  We investigate the phase diagram of color superconducting quark matter with
strange quarks (2SC+s quark matter) in beta equliibrium at zero as well as
finite temperatures within a Nambu-Jona-Lasinio model. The variational method
as used here allows us to investigate simultaneous formation of condensates in
quark--antiquark as well as in diquark channels. Color and electric charge
neutrality conditions are imposed in the calculation of the thermodynamic
potential. Medium dependance of strange quark mass plays a sensitve role in
maintaining charge neutrality conditions. At zero temperature the system goes
from gapless phase to usual BCS phase through an intermediate normal phase as
density is increased. The gapless modes show a smooth behaviour with respect to
temperature vanishing above a critical temperature which is larger than the BCS
transition temperature. We observe a sharp transition from gapless
superconducting phase to the BCS phase as density is increased for the color
neutral matter at zero temperature. As temperature is increased this however
becomes a smooth transition.
