Introduction to Hydrodynamics
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We give a pedagogical review of relativistic hydrodynamics relevant to relativistic heavy ion collisions. Topics discussed include linear response theory derivation of 2nd order viscous hydrodynamics including the Kubo formulas, kinetic theory derivation of 2nd order viscous hydrodynamics, anisotropic hydrodynamics and a brief review of numerical algorithms. Emphasis is given to the theory of hydrodynamics rather than phenomenology.
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Cited by 6 Pith papers
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Normal mode analysis within relativistic massive transport
Normal mode analysis of the relativistic Boltzmann equation for massive particles reveals coupling between sound and heat channels, mass-dependent critical wavenumbers, and an infinite branch cut for Landau damping.
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Non-Gaussian hydrodynamic fluctuations in an expanding relativistic fluid
In Bjorken flow, non-Gaussian velocity fluctuations evolve with nonlinear coupling between two- and three-point correlators and memory effects, best analyzed in the average Landau frame which coincides with the density frame.
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Analytic structure of stress-energy response functions and new Kubo formulae
Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.
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Gaussian fluctuating Generally covariant diffusion
The authors extend a generally covariant formalism to include diffusion of conserved charges and comment on the seeming difference between the chemical potential term and the diffusion term.
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Investigation of Nonlinear Collective Dynamics in Relativistic Heavy-Ion Collisions Using A Multi-Phase Transport Model
AMPT simulations show the ratio of nonlinear response coefficients between U+U and Au+Au collisions remains stable across evolution stages, isolating initial geometric correlations.
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Electrical conductivity of QGP with quasiparticle quarks and Gribov gluon
Electrical conductivity of QGP is estimated above deconfinement temperature via quasiparticle quarks and Gribov gluons in relaxation-time approximation, showing agreement with lattice QCD.
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