Relativistic theory of the viscosity of fluids across the entire energy spectrum
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910687478939648 |
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| author | Zaccone, Alessio |
| author_facet | Zaccone, Alessio |
| contents | The shear viscosity is a fundamental transport property of matter. Here we derive a general theory of the viscosity of gases based on the relativistic Langevin equation (deduced from a relativistic Lagrangian) and nonaffine linear response theory. The proposed relativistic theory is able to recover the viscosity of non-relativistic classical gases, with all its key dependencies on mass, temperature, particle diameter and Boltzmann constant, in the limit of Lorentz factor $γ=1$. It also unveils the relativistic enhancement mechanism of viscosity. In the limit of ultrarelativistic fluids, the theory provides a new analytical formula which reproduces the cubic increase of viscosity with temperature in agreement with various estimates for hot dense matter and the QGP-type fluid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relativistic theory of the viscosity of fluids across the entire energy spectrum Zaccone, Alessio High Energy Physics - Phenomenology Statistical Mechanics High Energy Physics - Theory Classical Physics Plasma Physics The shear viscosity is a fundamental transport property of matter. Here we derive a general theory of the viscosity of gases based on the relativistic Langevin equation (deduced from a relativistic Lagrangian) and nonaffine linear response theory. The proposed relativistic theory is able to recover the viscosity of non-relativistic classical gases, with all its key dependencies on mass, temperature, particle diameter and Boltzmann constant, in the limit of Lorentz factor $γ=1$. It also unveils the relativistic enhancement mechanism of viscosity. In the limit of ultrarelativistic fluids, the theory provides a new analytical formula which reproduces the cubic increase of viscosity with temperature in agreement with various estimates for hot dense matter and the QGP-type fluid. |
| title | Relativistic theory of the viscosity of fluids across the entire energy spectrum |
| topic | High Energy Physics - Phenomenology Statistical Mechanics High Energy Physics - Theory Classical Physics Plasma Physics |
| url | https://arxiv.org/abs/2406.18434 |