A new method for performing compressible hydrodynamic instability experimen
ts using high-power lasers is presented. A plasma piston is created by supe
rsonically heating a low-density carbon based foam with x-rays from a gold
hohlraum heated to similar to 200 eV by a similar to 1 ns Nova laser pulse
[E. M. Campbell et al., Laser Part. Beams 9, 209 (1991)]. The piston causes
an almost shockless acceleration of a thin, higher-density payload consist
ing of a layer of gold, initially 1/2 mu m thick, supported on 10 mu m of s
olid plastic, at similar to 45 mu m/ns(2). The payload is also heated by ho
hlraum x-rays to in excess of 150 eV so that the Au layer expands to simila
r to 20 mu m prior to the onset of instability growth. The Atwood number be
tween foam and Au is similar to 0.7. Rayleigh-Taylor instability, seeded by
the random fibrous structure of the foam, causes a turbulent mixing region
with a Reynolds number > 10(5) to develop between piston and Au. The macro
scopic width of the mixing region was inferred from the change in Au layer
width, which was recorded via time resolved x-radiography. The mix width th
us inferred is demonstrated to depend on the magnitude of the initial foam
seed. For a small initial seed, the bubble front in the turbulent mixing re
gion is estimated indirectly to grow as similar to 0.036 +/- 0.19 [integral
root(Ag)dt](2) which would imply for a constant acceleration 0.036 +/- 0.0
19 Agt(2). More direct measurement techniques must be developed in larger s
cale experiments to remove potential complicating factors and reduce the er
ror bar to a level that would permit the measurements to discriminate betwe
en various theories and models of turbulent mixing. (C) 2000 American Insti
tute of Physics. [S1070-664X(00)95305-9].