期刊
ENTROPY
卷 24, 期 12, 页码 -出版社
MDPI
DOI: 10.3390/e24121790
关键词
relativistic hydrodynamics; quantum field theory; hydrodynamic fluctuations
资金
- CONICET [PIP2017/19:112 20170100817]
- Universidad de Buenos Aires [UBACYT 20020170100129BA]
- ANPCyT [PICT 2018: 03684]
- project uesc [073.11157.2022.0001594-04]
Thermal and turbulent fluctuations play a significant role in relativistic fluids, and they can be translated into quantum field theory problems using the Martin-Siggia-Rose technique.
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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