Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
Derivation of transient relativistic fluid dynamics from the Boltzmann equation
12 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional 14-moment approximation is that we will not close the fluid-dynamical equations of motion by truncating the expansion of the distribution function. Instead, we keep all terms in the moment expansion. The reduction of the degrees of freedom is done by identifying the microscopic time scales of the Boltzmann equation and considering only the slowest ones. In addition, the equations of motion for the dissipative quantities are truncated according to a systematic power-counting scheme in Knudsen and inverse Reynolds number. We conclude that the equations of motion can be closed in terms of only 14 dynamical variables, as long as we only keep terms of second order in Knudsen and/or inverse Reynolds number. We show that, even though the equations of motion are closed in terms of these 14 fields, the transport coefficients carry information about all the moments of the distribution function. In this way, we can show that the particle-diffusion and shear-viscosity coefficients agree with the values given by the Chapman-Enskog expansion.
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representative citing papers
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The jet broadening tensor qhat^ij in near-equilibrium QCD is controlled by the medium shear-stress tensor within the 14-moment approximation.
A hybrid freeze-out model combining transport dynamics and thermal cluster production is proposed for light nuclei in intermediate-energy heavy-ion collisions.
Derives diffusion matrix elements for baryon, charge, and strangeness transport in relativistic hydrodynamics from entropy production within the relaxation-time approximation.
Thermal dilepton polarization in LHC heavy-ion collisions is sensitive to QGP in-medium properties, with a one-to-one mapping derived between dielectron and dimuon channels.
VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.
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.
Coupled BDNK MHD evolution in boost-invariant flow enhances cooling and suppresses the low-mass dilepton spectrum via magnetic-thermal feedback.
Box and expanding simulations with SMASH extended to 2-to-3 quark processes show energy spectrum thermalizes by ~0.2 fm/c, momentum isotropizes by ~2 fm/c, but chemical equilibration remains incomplete by 5 fm/c and hydrodynamics breaks down after ~4 fm/c.
Event-by-event hydrodynamic fluctuations have marginal effects on bottomonium R_AA and v2 in 5.02 TeV Pb-Pb collisions.
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Effects of event-by-event hydrodynamic fluctuations on bottomonium dynamics in Pb--Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV
Event-by-event hydrodynamic fluctuations have marginal effects on bottomonium R_AA and v2 in 5.02 TeV Pb-Pb collisions.