https://doi.org/10.1051/epjconf/202429613001
A new approach to stochastic relativistic fluid dynamics from information flow
1 Illinois Center for Advanced Studies of the Universe & Department of Physics, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA
2 Department of Mathematics, Vanderbilt University, Nashville, TN, USA
* e-mail: nickim2@illinois.edu
** e-mail: hippert@illinois.edu
*** e-mail: lorenzo.gavassino@vanderbilt.edu
**** e-mail: jn0508@illinois.edu
Published online: 26 June 2024
We present a new general formalism for introducing thermal fluctuations in relativistic hydrodynamics, which incorporates recent developments on the causality and stability of relativistic hydrodynamic theories. Our approach is based on the information current, which measures the net amount of information carried by perturbations around equilibrium in a relativistic many-body system. The resulting noise correlators are guaranteed to be observer-independent for thermodynamically stable models. We obtain an effective action within our formalism and discuss its properties.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
