Question

Speed of sound at phase transition — does percolation theory describe it?

Answer 1

Héy Héllø!

Here is your answer!

So, thé answer is --) Hydrodynamics of phase transitionfronts and the speed of sound in the plasma. ... A frequently used approximation consists in describingthe two phases as being composed only of radiation and vacuum energy (the so-called bag equation of state).

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Answer 2

Hey mate ^_^

If we view mixed solid and liquid states as two states random states, then percolation is relevant because it describes the path of phonons through homogeneous phase.

A connected component is all solid, and so can all propagate a phonon at the solid's speed locally.

Then it reaches the end of the component and has to pass through liquid again.

A simpler model (for instance) would be just expecting that it is a linearly weighted mean of the liquid's and solid's speeds of sound, when mixed.

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