Josephson vortex motion as a source for dissipation of superflow of e-h   pairs in bilayers
  IIt is shown that in a bilayer excitonic superconductor dissipative losses emerge under transmission of the current from the source to the load. These losses are proportional to the square of the interlayer tunneling amplitude and independent on the value of the input current. The case of quantum Hall bilayer is considered. The bilayer may work as a transmission line if the input current exceeds certain critical value. The input current higher than critical one induces Josephson vortices in the bilayer. The difference of electrochemical potentials is required to feed the load and it forces Josephson vortices to move. The state becomes non-stationary that leads to dissipation. 
D. V. Fil, S. I. Shevchenko