The leading-order VAH equations stay causal exactly when the three dimensionless ratios in Eq. (21) satisfy the stated chain inequalities.
Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
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abstract
We introduce a new scenario for heavy ion collisions that could solve the lingering problems associated with the so-called HBT puzzle. We postulate that the system starts expansion as the perfect quark-gluon fluid but close to freeze-out it splits into clusters, due to a sharp rise of bulk viscosity in the vicinity of the hadronization transition. We then argue that the characteristic cluster size is determined by the viscosity coefficient and the expansion rate. Typically it is much smaller and independent of the total system volume. These clusters maintain the pre-existing outward-going flow, as a spray of droplets, but develop no flow of their own, and hadronize by evaporation. We provide an ansatz for converting the hydrodynamic output into clusters.
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Necessary and sufficient conditions of nonlinear causality in viscous anisotropic hydrodynamics
The leading-order VAH equations stay causal exactly when the three dimensionless ratios in Eq. (21) satisfy the stated chain inequalities.