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arXiv · 2402.13119

Causal and Stable Relativistic Hydrodynamic Fluctuations

Nicki Mullins·Mauricio Hippert·Jorge Noronha·Lorenzo Gavassino
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Abstract

When two nuclei collide close to the speed of light, a fluid state known as the quark-gluon plasma is formed. Attempts to understand the dynamics of this fluid have generated significant research into dissipative relativistic fluid dynamics. The fluctuation-dissipation theorem implies that any dissipative dynamical system will also experience thermal fluctuations; however, such fluctuations are not typically included in the modeling of the quark-gluon plasma. This work discusses a new method of determining whether a hydrodynamic framework is consistent with thermal fluctuations. We develop a new method for calculating the noise correlator of relativistic hydrodynamic systems and apply it to Israel-Stewart theory in a general hydrodynamic frame.

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Nicki Mullins, Mauricio Hippert, Jorge Noronha, Lorenzo Gavassino. 2024-02-20. Causal and Stable Relativistic Hydrodynamic Fluctuations. https://arxiv.org/abs/2402.13119

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