  We study thermodynamic properties of the Schwinger model on a torus with f
flavors of massless fermions and flavor-dependent chemical potentials.
Generalizing the two-flavor case, we present a representation of the partition
function in the form of a multidimensional theta function and show that the
model exhibits a rich phase structure at zero temperature. The different
phases, characterized by certain values of the particle numbers, are separated
by first-order phase transitions. We work out the phase structure in detail for
three and four fermion flavors and conjecture, based on an exploratory
investigation of the five, six, and eight flavor case, that the maximal number
of coexisting phases at zero temperature grows exponentially with increasing f.
