The transition from quark matter to hadronic matter is examined in systems with arbitrary chemical potentials corresponding to net baryon number. In the hadron phase, both a Reid-type potential for nucleons and the ππ potential derived from Weinberg's effective lagrangian have been included. In the quark phase, a linear confining potential has been considered. Results are most sensitive to the slope of the confining potential, although qualitatively the behavior of the thermodynamic properties remain unchanged. The critical baryon density is found to remain roughly constant for all temperatures below the critical temperature, Tc, then falls rapidly to zero as T → Tc. Below Tc this density is about 30n0 for K = 0.18 GeV2 (the slope of the quark potential) and 23n0 for K = 0.10 GeV2.
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I would like to thank G. Baym, A. Bodmer, Z. Otwinowski, D. Schramm and W. Press for helpful discussions, and the Aspen Center for Physics for their hospitality. This work was supported in part by NSF grant AST-78-20402 and DOE grant AC02-80ER10773 at the University of Chicago.