@article{8be8913537da44e8895f66384ea74cef,
title = "Stochastic fluctuations in relativistic fluids: Causality, stability, and the information current",
abstract = "We develop a general formalism for introducing stochastic fluctuations around thermodynamic equilibrium which takes into account, for the first time, recent developments in the causality and stability properties of relativistic hydrodynamic theories. The method is valid for any covariantly stable theory of relativistic viscous fluid dynamics derived from a covariant maximum entropy principle. We illustrate the formalism with some applications, showing how it could be used to consistently introduce fluctuations in a model of relativistic heat diffusion and in conformally invariant Israel-Stewart theory in a general hydrodynamic frame. The latter example is used to study the hydrodynamic frame dependence of the symmetric two-point function of fluctuations of the energy-momentum tensor.",
author = "Nicki Mullins and Mauricio Hippert and Jorge Noronha",
note = "We thank L. Gavassino for discussions about the information current of Navier-Stokes theory and for insightful comments about the manuscript concerning the fate of fluctuations and dissipation in relativistic fluids. N.\u2009M. and J.\u2009N. are partly supported by the U.S. Department of Energy, Office of Science, Office for Nuclear Physics under Award No. DE-SC0021301. M.\u2009H. and J.\u2009N. were partly supported by the National Science Foundation (NSF) within the framework of the MUSES collaboration under Grant No. OAC-2103680. J.\u2009N. thanks KITP Santa Barbara for its hospitality during \u201CThe Many Faces of Relativistic Fluid Dynamics\u201D Program, where this work\u2019s last stages were completed. This research was partly supported by the National Science Foundation under Grant No. NSF PHY-1748958.",
year = "2023",
month = oct,
day = "1",
doi = "10.1103/PhysRevD.108.076013",
language = "English (US)",
volume = "108",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "7",
}