Hydrodynamic attractor of noisy plasmas

TL;DR

This paper develops a generalized fluctuating hydrodynamics framework for noisy plasmas far from equilibrium, revealing how fluctuations influence transport properties and lead to non-monotonic evolution towards equilibrium.

Contribution

It introduces a novel formulation of fluctuating hydrodynamics for noisy, far-from-equilibrium plasmas, including a generalized kinetic equation and analysis of fluctuation backreaction effects.

Findings

Hydrodynamic attractor governs the evolution of noisy plasmas.

Fluctuations cause renormalization of transport coefficients.

Evolution towards equilibrium can be non-monotonic due to fluctuations.

Abstract

We provide a generalized formulation of fluctuating hydrodynamics for the far-from-equilibrium noisy medium. As an example, we consider a noisy plasma experiencing Bjorken expansion, for which the leading order evolution is captured by hydrodynamic attractor of classical hydrodynamics, while the quadratic couplings of fluctuations are solved effectively via a generalized version of the hydrodynamic kinetic equation. In the far-from-equilibrium plasma, backreaction of hydrodynamic fluctuations results in renormalization of transport properties, as well as long time tails, of high orders. In particular, corresponding to a renormalized hydrodynamic attractor, evolution in a noisy plasma towards equilibrium becomes non-monotonic.