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Entropy Current in Conformal Hydrodynamics

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arxiv 0801.3701 v2 pith:PABKLDQD submitted 2008-01-24 hep-th

classification hep-th
keywords entropyconformalcurrentfluidformalismhydrodynamicsarxivderivative
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In recent work (arXiv:0712.2456, arXiv:0712.2451) the energy-momentum tensor for the N=4 SYM fluid was computed up to second derivative terms using holographic methods. The aim of this note is to propose an entropy current (accurate up to second derivative terms) consistent with this energy-momentum tensor and to explicate its relation with the existing theories of relativistic hydrodynamics. In order to achieve this, we first develop a Weyl-covariant formalism which simplifies the study of conformal hydrodynamics. This naturally leads us to a proposal for the entropy current of an arbitrary conformal fluid in any spacetime (with d>3). In particular, this proposal translates into a definite expression for the entropy flux in the case of N=4 SYM fluid. We conclude this note by comparing the formalism presented here with the conventional Israel-Stewart formalism.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Radiation in Fluid/Gravity and the Flat Limit

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

  2. On the boundary condition and related instability in the Smoothed Particle Hydrodynamics

    physics.comp-ph 2019-08 conditional novelty 3.0 of 10

    Boundary condition handling, not just kernel choice, largely determines whether SPH simulations of Burgers' equation stay stable, and particles can cross through each other near boundaries when smoothing length far ex...

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