  We present a model for quark matter with a density dependent quark-quark
(confining) potential, which allows to describe a deconfinement phase
transition as the system evolves from a low density assembly of bound
structures to a high density free Fermi gas of quarks. A proper account of the
many-body correlations induced by the medium is crucial in order to disentangle
this behaviour, which does not uniquely stem from the the naive density
dependence of the interaction. We focus here on the effects of finite
(non-zero) temperatures on the dynamical behaviour of the system. In particular
we investigate the ground state energy per particle and the pair correlation
function, from which one can extract the relevant information about the quarks
being confined or not; the temperature dependence of the transition density is
also derived.
