  We study the current-voltage characteristics of a superconducting junction
with particle losses at the contacts. We adopt the Keldysh formalism to compute
the steady-state current for varying transmission of the contact. In the low
transmission regime, the dissipation leads to an enhancement of the current at
low bias, a nonmonotonic dependence of current on dissipation, and the
emergence of new structures in the current-voltage curves. The effect of
dissipation by particle loss is found to be qualitatively different from that
of a finite temperature and a finite inelastic scattering rate in the
reservoirs.
