Experimental analysis demonstrates self-similar bubble growth in laser-accelerated planar foils, highlighting universal scaling laws in nonlinear Rayleigh-Taylor hydrodynamic instability.
The Rayleigh-Taylor unstable growth of laser-seeded, 3D broadband perturbations was experimentally measured in the laser-accelerated, planar plastic foils. The first experimental observation showing the self-similar behavior of the bubble size and amplitude distributions under ablative conditions is presented. In the nonlinear regime, the modulation σᵣₘₛ grows as α_σgt², where g is the foil acceleration, t is the time, and α_σ is constant. The number of bubbles evolves as N(t)∝(t√g+C)^-4 and the average size evolves as ⟨λ⟩(t)∝²gt², where C is a constant and =0.83±0.1 is the measured scaled bubble-merging rate.
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Sadot et al. (2005) studied this question.
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