Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity

Details Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity

2008-05-04

arxiv.org/abs/0805.0442v2

Phys.Rev.C78:021901,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Accepted for publication, Rapid Communication in Physical Review C Discussion extended, derivation and conclusions not changed

Scientific paper

10.1103/PhysRevC.78.021901

We solve the relativistic Navier-Stokes equations with homogeneous boost-invariant boundary conditions, and perform a stability analysis of the solution. We show that, if the bulk viscosity has a peak around $T_c$ as inferred from QCD-based arguments, the background solution "freezes" at $T_c$ to a nearly constant temperature state. This state is however highly unstable with respect to certain inhomogeneous modes. Calculations show that these modes have enough time to blow up and tear the system into droplets. We conjecture that this is how freeze-out occurs in the QGP created in heavy ion collisions, and perhaps similar transitions in the early universe.

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