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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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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. |
format | Online Article Text |
id | pubmed-9777724 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT mirongranesenahuel fieldtheoryapproachestorelativistichydrodynamics AT kandusalejandra fieldtheoryapproachestorelativistichydrodynamics AT calzettaesteban fieldtheoryapproachestorelativistichydrodynamics |