Lectures on hydrodynamic fluctuations in relativistic theories

By P. Kovtun. 2012

558 citations recorded by the source corpus.

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective action for viscous fluids and the breakdown of the derivative expansion in hydrodynamics.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dbb5577b9f4f5cdb2dd1dad1f4e703c6499dfb66

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In Atomic and Molecular Physics, and Optics

In Computational Mechanics

In Nuclear and High Energy Physics

Citations in the corpus

Viscosity and dissipative hydrodynamics from effective field theory (2013, background): “[10, 11]) as a gradient expansion in temperature, chemical potential and velocity fields: T (x), μ(x) and u(x).”
Flat holography and Carrollian fluids (2018, background): “[7, 8]), and is implemented in Eddington–Finkelstein coordinates.”
Generalized global symmetries and dissipative magnetohydrodynamics (2016, background): “[5,22,23] for reviews of hydrodynamics from the point of view afforded by holography.”
Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics (2018, background): “In this section we give a brief review of the standard formulation of hydrodynamics (for a more extensive, modern review see [95].”
Momentum relaxation in holographic massive gravity (2013, background): “Hydrodynamics is a fluid-like limit based on the assumptions that the energy-momentum tensor and any global currents of a theory can be expressed in terms of a small number of slowly varying (with respect to a microscopic length scale lmfp) macroscopic variables and their derivatives, and that the e”
First-order relativistic hydrodynamics is stable (2019, unknown): “The coefficients in the new decomposition are [22] E ′(T ′, μ′) = E(T, μ) +O(∂(2)) , (7a) P ′(T ′, μ′) = P(T, μ) +O(∂(2)) , (7b) Qμ(T ′, u′, μ′) = Qμ(T, u, μ)− ( +p)δuμ +O(∂(2)) , (7c) T ′ μν(T ′, u′, μ′) = Tμν(T, u, μ) +O(∂(2)) , (7d) N ′(T ′, μ′) = N (T, μ) +O(∂(2)) , (7e) J ′ α(T ′, u′, μ′) = Jα(”
The complex life of hydrodynamic modes (2019, methodology): “As a simple example, the prediction of 1st-order hydrodynamics for the retarded function of the transverse momentum density is [2]”
Fate of spin polarization in a relativistic fluid: An entropy-current analysis (2019, background): “Since Θ αβ is assumed to be invariant [23, 24], this variation should be at most a second-order quantity δq = O(∂(2)), and is negligible as compared to q in the original frame.”
Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids (2018, background): “Modern discussions can be found in [9, 26, 27] (see also [28]).”
Holographic Quantum Matter (2016, background): “Following [476], we have used δ and δρ as hydrodynamic variables instead of δμ and δT .”
Notes on Anomaly Induced Transport (2016, background): “Energy-momentum tensor and charge current are now expressed in terms of the local fluid variables in a derivative expansion (see [37] for a recent review of relativistic hydrodynamics)”
Relativistic Fluid Dynamics in and out of Equilibrium (2017, background): “In the variational approach, one introduces sources that couple directly to the energy-momentum tensor, rather than just the conserved quantities [110].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, methodology): “the retarded two-point Green’s functions of these charges by following the approach of Kadanoff and Martin [38] (see, for example, [39] for a recent description of this approach).”
Relativistic magnetohydrodynamics (2017, background): “The expression for vs and D‖ in terms of the thermodynamic functions formally look the same as in hydrodynamics without external O(1) magnetic fields [18].”
Effective field theory of dissipative fluids (2015, background): “[12, 41, 68, 69, 74] for some recent discussions of the effects of fluctuations.”