The leading-order VAH equations stay causal exactly when the three dimensionless ratios in Eq. (21) satisfy the stated chain inequalities.
Origins of Bulk Viscosity at RHIC
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A variety of physical phenomena can lead to viscous effects. Several sources of shear and bulk viscosity are reviewed with an emphasis on the bulk viscosity associated with chiral restoration and with chemical non-equilibrium. We show that in a mean-field treatment of the limiting case of a second order phase transition, the bulk viscosity peaks in a singularity at the critical point.
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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.