Connecting far-from-equilibrium hydrodynamics to resummed transport coefficients and attractors

We investigate whether hydrodynamic attractors are present in simulations of the quark-gluon plasma formed in heavy ion collisions. We argue that Lagrangian schemes to solve the relativistic viscous fluid equations can be particularly useful to characterize the properties of attractors in heavy ion collisions. Preliminary results are shown in Israel-Stewart theory to support such a claim. We also discuss how to perform the slow-roll expansion in Israel-Stewart theory undergoing a general flow, which naturally leads to the definition of a resummed shear viscosity coefficient that depends on the gradients of the hydrodynamic fields.

Automated summary

Studies have shown the potential presence of hydrodynamic attractors in simulations of quark-gluon plasma formed in heavy ion collisions. Using Lagrangian schemes to solve relativistic viscous fluid equations is argued to be useful in characterizing these attractors. Preliminary results in Israel-Stewart theory support this claim, along with a discussion on performing slow-roll expansion in Israel-Stewart theory to define a resummed shear viscosity coefficient dependent on hydrodynamic field gradients.