We have modelled the effect of two intrinsic noise sources on the flux
noise spectral density of (Double) Relaxation Oscillation SQUIDs ((D)
ROSs) based on hysteretic Josephson tunnel junctions. An important noi
se source is the spread in the critical current of the SQUID due to th
ermal fluctuations. Critical current noise mainly determines the noise
on the average output voltage of DROSs with high flux to voltage tran
sfer. A second noise source is the spread in the relaxation frequency
due to the random interaction between the Josephson oscillations and t
he relaxation oscillations during switching to the zero-voltage state.
This effect can dominate the voltage noise of a ROS.