Anisotropic hydrodynamics with boost-non-invariant expansion

TL;DR

This paper develops anisotropic hydrodynamics equations for systems with boost-non-invariant expansion, compares results with Boltzmann equation solutions, and introduces attractor variables to address convergence delays.

Contribution

It establishes aHydro equations for boost-non-invariant expansion and proposes a method to handle rapidity-dependent convergence delays.

Findings

aHydro results agree with Boltzmann equation solutions

Identified a time delay in convergence with increasing rapidity

Proposed redefined attractor variables to mitigate delay effects

Abstract

We establish the anisotropic hydrodynamics (aHydro) equations based on a boost-non-invariant longitudinally expanding system. Good consistency is found in the comparison between the aHydro results with those from the Boltzmann equation under relaxation time approximation. We also obtain corresponding attractor solution and observe the time delay of convergence when increasing the absolute value of the rapidity. We finally show that the rapidity dependence is solved by introducing the redefined attractor variables to compensate the time delay effect.