We present experimental transport characteristics of long and ballisti
c superconductor - 2-dimensional electron gas - superconductor junctio
ns obtained in a temperature range from 1K down to 10mK. Surprisingly
the critical current I-c can be fitted to the ideal junction temperatu
re dependence, I-c(T) proportional to exp(-T/T-0) approximate to exp(-
L/xi(T)), with xi(T) the thermal coherence length, despite the presenc
e of interface barriers and a to small I-c. We propose that the confli
ct between the experimental data and the theoretical predictions for t
hese non ideal junctions might be resolved by employing concepts from
the theory of disorder induced opening of tunnel channels.