Abstract
Prior studies of non-equilibrium dynamics using anisotropic hydrodynamics have used the relativistic Anderson-Witting scattering kernel or some variant thereof. In this paper, we make the first study of the impact of using a more realistic scattering kernel. For this purpose, we consider a conformal system undergoing transversally-homogenous and boost-invariant Bjorken expansion and take the collisional kernel to be given by the leading order 2 <-> 2 scattering kernel in scalar lambda phi^4. We consider both classical and quantum statistics in order to assess the impact of Bose enhancement on the dynamics. We also determine the anisotropic non-equilibrium attractor of a system subject to this collisional kernel. We find that, when the near-equilibrium relaxation-times in the Anderson-Witting and scalar collisional kernels are matched, the scalar kernel results in a higher degree of momentum-space anisotropy during the system's evolution, given the same initial conditions. Additionally, we find that taking into account Bose enhancement further increases the dynamically generated momentum-space anisotropy.
Highlights
Understanding the relativistic dynamics of out-ofequilibrium systems is of great importance in both astrophysics and particle physics
In the study of heavyion collisions, one is naturally led to the study of relativistic fluids, which are highly momentum-space anisotropic in the local rest frame [6,7,8,9]. This momentum-space anisotropy is dynamically generated by the rapid longitudinal expansion of the matter created in high-energy heavy-ion collisions. Despite these momentum-space anisotropies, it has been found that the evolution of the quark-gluon plasma (QGP) created in heavy-ion collisions is well-described by dissipative hydrodynamics
VII we present the nonequilibrium dynamical attractor emerging from kinetic theory with the LO scalar collisional kernel for both classical and quantum statistics
Summary
Understanding the relativistic dynamics of out-ofequilibrium systems is of great importance in both astrophysics and particle physics. We make the first attempt to consider a more realistic scattering kernel in the context of aHydro by considering the leading-order (LO) collisional kernel stemming from 2 ↔ 2 scattering in massless λφ theory using both classical and quantum (Bose) statistics For this conformal theory, it is possible to reduce the necessary ingredients to a finite set of numerically tabulated functions of the momentum-space anisotropy parameter(s) with the scale dependence appearing as an overall multiplicative factor. It is possible to reduce the necessary ingredients to a finite set of numerically tabulated functions of the momentum-space anisotropy parameter(s) with the scale dependence appearing as an overall multiplicative factor In this first work, we consider a transversally homogeneous and boost-invariant system undergoing 0+1D Bjorken expansion and compare to results obtained using RTA. The remaining eight-dimensional integral is a function only of ξ and can be evaluated using Monte Carlo integration
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