Abstract
We simulate lattice QCD at a finite chemical potential μ I for isospin ( I 3) at zero and finite temperatures. At some μ 1 = μ c QCD has a second order transition with mean-field critical exponents to a state where ( I 3) is broken spontaneously by a charged pion condensate. Heating the system with μ I > μ c we find there is some temperature at which this condensate evaporates. This transition appears to be second order and mean-field at lower μ I values, and first order for μ I sufficiently large. We are determining the dependence of the finite temperature crossover T c on μ I for μ I < μ c . This is expected to be identical to T c 's dependence on quark-number chemical potential μ q for small μ q .
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