Anisotropic hydrodynamics with number-conserving kernels

Abstract

We compare anisotropic hydrodynamics (aHydro) results obtained using the relaxation-time approximation (RTA) and leading-order (LO) scalar λϕ^4 collisional kernels. We extend previous work by explicitly enforcing number conservation through the incorporation of a dynamical chemical potential (fugacity) in the underlying aHydro distribution function. We focus on the case of a transversally homogenous and boost-invariant system obeying classical statistics and compare the relevant moments of the two collisional kernels. We then compare the time evolution of the aHydro microscopic parameters and components of the energy-momentum tensor. We also determine the non-equilibrium attractor using both the RTA and LO conformal λϕ^4 number-conserving kernels. We find that the aHydro dynamics receives quantitatively important corrections when enforcing number conservation, however, the aHydro attractor itself is not modified substantially.

20 pages, 8 figures