Exact hard-sphere moments of the nonlinear collision integral for anisotropic distributions show the relaxation-time approximation relaxes roughly twice as fast as true binary collisions, and a two-moment closure resolves the hierarchy-closure ambiguity.
Quasiparticle anisotropic hydrodynamics
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abstract
We study an azimuthally-symmetric boost-invariant quark-gluon plasma using quasiparticle anisotropic hydrodynamics including the effects of both shear and bulk viscosities. We compare results obtained using the quasiparticle method with the standard anisotropic hydrodynamics and viscous hydrodynamics. We consider the predictions of the three methods for the differential particle spectra and mean transverse momentum. We find that the three methods agree for small shear viscosity to entropy density ratio, $\eta/s$, but show differences at large $\eta/s$. Additionally, we find that the standard anisotropic hydrodynamics method shows suppressed production at low transverse-momentum compared to the other two methods, and the bulk-viscous correction can drive the primordial particle spectra negative at large $p_T$ in viscous hydrodynamics.
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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics
Exact hard-sphere moments of the nonlinear collision integral for anisotropic distributions show the relaxation-time approximation relaxes roughly twice as fast as true binary collisions, and a two-moment closure resolves the hierarchy-closure ambiguity.