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Field Theory Approaches to Relativistic Hydrodynamics

Just as non-relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, with thermal and turbulent fluctuations being the most relevant examples. Because of the theory’s inherent nonlinearity, fluctuations induce deep and complex changes in...

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Autores principales: Mirón Granese, Nahuel, Kandus, Alejandra, Calzetta, Esteban
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9777724/
https://www.ncbi.nlm.nih.gov/pubmed/36554195
http://dx.doi.org/10.3390/e24121790
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author Mirón Granese, Nahuel
Kandus, Alejandra
Calzetta, Esteban
author_facet Mirón Granese, Nahuel
Kandus, Alejandra
Calzetta, Esteban
author_sort Mirón Granese, Nahuel
collection PubMed
description Just as non-relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, with thermal and turbulent fluctuations being the most relevant examples. Because of the theory’s inherent nonlinearity, fluctuations induce deep and complex changes in the dynamics of the system. The Martin–Siggia–Rose technique is a powerful tool that allows us to translate the original hydrodynamic problem into a quantum field theory one, thus taking advantage of the progress in the treatment of quantum fields out of equilibrium. To demonstrate this technique, we shall consider the thermal fluctuations of the spin two modes of a relativistic fluid, in a theory where hydrodynamics is derived by taking moments of the Boltzmann equation under the relaxation time approximation.
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spelling pubmed-97777242022-12-23 Field Theory Approaches to Relativistic Hydrodynamics Mirón Granese, Nahuel Kandus, Alejandra Calzetta, Esteban Entropy (Basel) Article Just as non-relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, with thermal and turbulent fluctuations being the most relevant examples. Because of the theory’s inherent nonlinearity, fluctuations induce deep and complex changes in the dynamics of the system. The Martin–Siggia–Rose technique is a powerful tool that allows us to translate the original hydrodynamic problem into a quantum field theory one, thus taking advantage of the progress in the treatment of quantum fields out of equilibrium. To demonstrate this technique, we shall consider the thermal fluctuations of the spin two modes of a relativistic fluid, in a theory where hydrodynamics is derived by taking moments of the Boltzmann equation under the relaxation time approximation. MDPI 2022-12-07 /pmc/articles/PMC9777724/ /pubmed/36554195 http://dx.doi.org/10.3390/e24121790 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Mirón Granese, Nahuel
Kandus, Alejandra
Calzetta, Esteban
Field Theory Approaches to Relativistic Hydrodynamics
title Field Theory Approaches to Relativistic Hydrodynamics
title_full Field Theory Approaches to Relativistic Hydrodynamics
title_fullStr Field Theory Approaches to Relativistic Hydrodynamics
title_full_unstemmed Field Theory Approaches to Relativistic Hydrodynamics
title_short Field Theory Approaches to Relativistic Hydrodynamics
title_sort field theory approaches to relativistic hydrodynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9777724/
https://www.ncbi.nlm.nih.gov/pubmed/36554195
http://dx.doi.org/10.3390/e24121790
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