  After an initial transient period, the conduction regime in a 1D
superconducting wire that carries a fixed current is either normal or periodic
or stationary. The phase diagram for these possibilities was studied in Phys.
Rev. Lett. {\bf 99}, 167003 (2007) for particular values of the length and the
material parameters. We have extended this study to arbitrary length and to a
range of material parameters that includes realistic values. Variation of the
length leads to scaling laws for the phase diagram. Variation of the material
parameters leads to new qualitative features and new phases, including a
parameter region in which all three regimes are possible.

Superconductivity