Using the Rayleigh-Taylor instability for in situ measurements of thermal conductivity of warm dense matter
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The Rayleigh-Taylor (RT) instability of a material with stratified density, temperature, and composition is considered. The variation of composition gives rise to the appearance of modes whose growth rate is directly related to the finite thermal conductivity. It is suggested that this effect could be used for in situ measurements of thermal conductivity of warm dense matter. Expressions for the RT growth rate for the general equation of state are derived and the modes most suitable for measurements are identified. A desired perturbation can be introduced by machining the package or by using masks during the surface deposition process. To visualize the evolution of the embedded perturbation, higher-Z tracers can be used. A concept for a laser-driven experiment where this approach could be realized is presented.
KeywordsWarm dense matter Thermal conductivity Equation of state
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- Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon Press, New York (1987) Google Scholar