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Anisotropic hydrodynamics with a scalar collisional kernel

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arxiv 1801.10173 v2 pith:GOUAUEZW submitted 2018-01-30 hep-ph nucl-th

classification hep-phnucl-th
keywords kernelcollisionalscalaranisotropicscatteringsystemanderson-wittinganisotropy
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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.

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  1. Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres

    nucl-th 2019-08 conditional novelty 8.0 of 10

    A gas of hard spheres expanding in Bjorken flow has a constant Knudsen number, which yields an exact analytical hydrodynamic attractor and the first convergent gradient expansion in an expanding relativistic system.

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