Research looks at entropy generation from hydrodynamic mixing in ICF experiments

two species types

This image shows the schematic of increasing mix between two species types (“1″in light shade, “2” in the dark shade) as a function of partition number m, leading to a fully mixed state as m=∞.

Research conducted at Lawrence Livermore National Laboratory (LLNL) is taking a closer look at entropy – the measure of internal energy per unit temperature that is unavailable for doing useful work – in experiments at the National Ignition Facility (NIF).

Work by LLNL physicist Peter Amendt is highlighted as an Editor’s Pick in Physics of Plasma, showing that an added entropy increase (or measure of disorder or randomness) from atomic mixing of hydrogen fuel with high density carbon capsule material in implosion experiments at NIF may result in less fuel compression than is simulated with mainline computational tools. Any shortfall in compression can potentially affect the path to demonstrating high thermonuclear energy gain (>5) on the NIF.

Amendt said the transition to a pure mixed state between thermonuclear fuel and carbon ablator may result in the generation of entropy from atomic species mixing.

“Such an entropy increase limits the amount of internal energy that can be converted to useful mechanical energy for compressing the fuel,” he said. “This process of transitioning from a heterogeneous, unmixed, two-component flow to a fully mixed fluid state is not currently included in mainline simulation tools.”

Indeed, sub-grid mix models are widely used in current simulation tools to model the effects of imposed mixing across a hydrodynamically unstable material interface on inertial confinement fusion (ICF) performance. However, the generation of entropy from mixing in transitioning from the two states immediately before and after the mixing transition occurs is generally not included.

Amendt explained the work by imagining two vessels of identical gases at different temperatures separated by a removable partition that are allowed to mix.

“The change in entropy between the final mixed and initial unmixed states depends on the ratio of initial temperatures,” he said. “Now, consider the case of a partition that is stationary but thermally conducting. Eventually, the two vessels will equilibrate to the same final temperature as in the mixing scenario.”

In the latter case, entropy is generated by conduction through the membrane without any exchange of particles. The generation of entropy via conduction is well-modeled in mainline simulation tools, but the former mix-generated processes of temperature equilibration can add further to the degree of unwanted entropy production in an ICF implosion.

Amendt said the work may shed light on how to routinely incorporate the entropy of mixing in mainline design codes.

“Such a capability may establish the role of entropy generation from mixing in degraded fuel compressions that are experimentally inferred,” he said.

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