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At high density, matter is expected to undergo a phase transition todeconfined quark matter. Although the density at which it happens and thestrength of the transition are still largely unknown, we can model it to be inagreement with known experimental data and reliable theoretical results. Wediscuss how deconfinement in dense matter can be affected by both bytemperature and by strong magnetic fields within the CMF model. To exploredifferent dependencies in our approach, we also explore how deconfinement canbe affected by the assumption of different degrees of freedom, different vectorcoupling terms, and different deconfining potentials, all at zero temperature.Both zero-net-strangeness and isospin-symmetric heavy-ion collision matter andbeta-equilibrated charge-neutral matter in neutron stars are discussed.

Dense-matter equation of state at zero & finite temperature