Deflagration instability in the quark-hadron phase transition

Physics

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Cosmology, Deflagration, Hadrons, Phase Transformations, Quarks, Baryons, Boundary Conditions, Conservation Laws, Nuclear Reactions, Relativity

Scientific paper

With the aim of determining the scale of inhomogeneities produced by the transition of quarks to hadrons in the early universe, the hydrodynamic stability of slow combustion (deflagration) is studied. For a front velocity v, the phase boundary is unstable on a time scale tau equal to about (1/v cubed 2) fm; surface tension stabilizes bubbles below a critical size. For supercoolings implied by the bubble separations of interest for inhomogeneous nucleosynthesis (about 1 m), tau is much less than the duration of the phase transition. Bubble disruption could restore homogeneous nucleosynthesis.

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