Formal solutions of Boltzmann moment equations demonstrate that relativistic hydrodynamics works far from equilibrium because non-perturbative modes and modified transport coefficients enable interpolation between free streaming and hydrodynamic regimes.
The free streaming propagator Kτ,τ ′ = e− ˆKτ,τ ′ (B24) satisfies ∂τ ′Kτ,τ ′ρn,l(τ) = Kτ,τ ′ ∂τ ′ + ˆF ρn,l(τ ′) (B25) Consider the change of variables, τ ′ → ξ′
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Validity of relativistic hydrodynamics beyond local equilibrium
Formal solutions of Boltzmann moment equations demonstrate that relativistic hydrodynamics works far from equilibrium because non-perturbative modes and modified transport coefficients enable interpolation between free streaming and hydrodynamic regimes.