Attractor for 1+1D viscous hydrodynamics with general rapidity distribution

TL;DR

This paper investigates attractor solutions in 1+1D viscous hydrodynamics with general rapidity distributions, highlighting the importance of rapid velocity expansion for early-time attractor behavior.

Contribution

It introduces attractor behaviors in 1+1D viscous hydrodynamics with general rapidity distributions based on MIS theory, emphasizing the role of rapid velocity expansion.

Findings

Attractor behaviors are present in 1+1D viscous hydrodynamics with general rapidity distributions.

Rapid expansion in fluid velocity is crucial for early-time attractor emergence.

The study enhances understanding of early applicability of hydrodynamics in heavy ion collisions.

Abstract

Attractor, supposed to be one of the possible answer for the early applicability of hydrodynamics in the evolution with different initial conditions, has attracted great attention to the fast decreasing of degrees of freedom in heavy ion collision. We found attractor behaviors for 1+1D viscous hydrodynamics with general rapidity distribution based on MIS theory. Meanwhile, we also observe that a rapid expansion in the fluid velocity is essential for a rapid early time attractor.